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November 15, 2001
O P - S F N E T Volume 8, Number 6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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Today's Topics:
1. Message from the Chair:
2. International Conference in Varanasi
3. Conference on Operator Theory in Bedlewo, Poland
4. International Workshop on Orthogonal Polynomials (Madrid)
5. SIAM turns 50 in 2002
6. ICIAM - Sydney 2003
7. 2003 OPSFA Symposium to be held in Copenhagen
8. Amsterdam Special Functions conference canceled
9. Update on "Special Functions in the Digital Age"
10. Update on FoCM'02 Workshop on Special Functions
11. Reports on Inzell Summer School
12. Report on a Conference in Honor of Bill Jones
13. Report from a Conference Honoring Claude Brezinski
14. CAOP flies again
15. Proceedings of 1998 Mount Holyoke Conference
16. Selected Papers of Frank Olver
17. SIAM adds text on Asymptotics to Classics Series
18. New book on Asymptotics and Mellin-Barnes Integrals
19. Book on Incomplete Gamma Functions
20. Preprints in xxx Archive
21. About the Activity Group
22. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2002
February 20-21: Workshop on Approximation Theory, Tel Aviv, Israel 8.5 #2
March 2-4: Varanasi Conference on Special Functions 8.6 #2
May 11-18: Conference on Operator Theory in Bedlewo, Poland 8.6 #3
June 24-27: International Workshop on Orthogonal Polynomials,
Leganes, Madrid 8.6 #4
July 1-5: International Conference on Differential, Difference
Equations and their Applications. Patras, Greece 8.4 #3
July 8-12 - SIAM 50th Anniversary & Annual Meeting
Philadelphia, Pennsylvania, USA 8.6 #5
July 22 - August 2: IMA Summer Program "Special Functions in the
Digital Age" Minneapolis, Minnesota, USA 8.2 #7 8.6 #9
August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of
Computational Mathematics" Minneapolis,
Minnesota, USA 8.1 #1 8.6 #10
August 12-17: Summer school in Orthogonal Polynomials and
Special Functions, Leuven, Belgium 8.4 #4
2003
July 7-11: 5th International Congress on Industrial and Applied
Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6
August 18-22: Seventh International Symposium on Orthogonal
Polynomials, Special Functions and Applications,
Copenhagen, Denmark 8.6 #7
Future plans:
There are plans to organize a summer school on Orthogonal Polynomials and
Special Functions in Portugal in July 2003. (Contact person: Amilcar
Branquinho). This is in the series Inzell, 2001 (OP-SF NET 8.3, Topic #3),
and Leuven, 2002 (OP-SF NET 8.4, Topic #4). The coordinator of the three
summer schools is Erik Koelink (koelink@dutiaw4.twi.tudelft.nl). These
summer schools are part of our Activity Group's scientific program. The
scientific committee consists of Erik Koelink, Rupert Lasser, Amilcar
Branquinho, Paco Marcellan and Walter Van Assche.
Topic #1 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Daniel Lozier
Subject: Message from the Chair
Message from the Chair:
I regret to inform our activity group members that we have abandoned our
plans to have an OPSF minisymposium at the SIAM 50th Anniversary Meeting
in Philadelphia in July 2002. The reasons are given in the following
paragraphs. I wish to thank the OPSF program committee for
its efforts. Thanks also to Nico Temme (CWI, Amsterdam) for his
agreement to deliver the 45-minute topical address and the individuals
who agreed to speak in the minisymposium: Arno Kuijlaars (KU Leuven,
Belgium), Jesˇs S. Dehesa (Universidad de Granada, Spain), David
Sattinger (Utah State University, USA) and William Reinhardt (University
of Washington, Seattle, USA). My apologies to all of them.
On March 21, 2001, our activity group officers received email
asking us to suggest a topical speaker and propose a minisymposium for
SIAM 50. We responded by contacting Nico and securing his
agreement to present a 45-minute talk on Special Functions and
Asymptotics. Nico also agreed to be co-organizer with our program
chairman, Paco Marcellan, of a minisymposium on New Trends in Special
Functions and Orthogonal Polynomials: From Classical Analysis to
Applications.
We were very disappointed to learn that Nico is not among the topical
speakers chosen to speak at SIAM 50.
Our experience with past SIAM annual meetings has often been that
many of our members do not attend. This may be because they do not
perceive the general program as sufficiently relevant to their research,
and they may prefer to attend meetings that are focused on special
functions. Also, annual meeting attendees who are not members of our
group usually choose another minisymposium from the many running in
parallel with ours. As a result attendance has been often been poor
at OPSF minisymposia.
The officers have discussed ways to overcome this problem. We came
to the conclusion that a good way of counteracting the low visibility
of OPSF at annual meetings would be to tie our minisymposium to a
plenary talk. Therefore we hoped our topical speaker would be on the
larger program at SIAM 50. Since this is not the case, we felt was
better to withdraw the minisymposium.
In subsequent discussions, SIAM representatives have reaffirmed their
support for our activity group and their desire to work with us on
future events. Several possibilities exist, and I will report on
some of them in the next newsletter.
Sincerely,
Dan Lozier
Chair, SIAM Activity Group on Orthogonal Polynomials and Special Functions
Topic #2 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: M. A. Pathan
Subject: International Conference in Varanasi
First Announcement
The next International Conference of the Society of Special Functions and
their Applications is scheduled to be held at Varanasi from March 4-6, 2002.
The organizers of the conference have great pleasure in extending an
invitation to those interested to participate in this conference and calls
for papers for presentation. National and international funding agencies are
being approached for sponsorship and it is hoped that all participants will
be provided local hospitality for the duration of the Conference which will
include invited talks by experts and paper presentation/poster sessions. You
are requested to kindly send an abstract of your paper (not exceeding 500
words) on or before January 30, 2002 either by mail, email or fax to the
General Secretary of the Society, Prof. M.A. Pathan.
Organizing Committee
Prof. R. P. Agarwal
Prof. N. K. Thakare
Prof. H. L. Manocha
Prof. S. Bhargawa
Prof. R. S. Pathak, Convenor & Local Organizing Secretary
Prof. Arun Verma
Prof. M. A. Pathan
Prof. R. Y. Denis
Prof. K. Srinivasa Rao
Prof. A. K. Agrawal
Prof. C. K. Sharma
Dr. P. K. Banerji
Dr. S. N. Singh
Dr. M. Azhar Husain
Dr. S. Ahmad Ali
The following are the registration charges for participation in the conference:
Delegate fee (Indian): Rs 400/- (for life members)
Rs 500/- (for sessional members)
Student participants fee: Rs 300/- (for life members)
Rs 400/- (for sessional members)
Foreign participants: $100.
The registration charges may be paid through a Bank Draft in favour of "SSFA
Conference 2002" payable at Varanasi. Pleas confirm your participation at
your earliest to the Local Organizing Secretary:
Prof. R. S. Pathak
Department of Mathematics
Banaras Hindu University Phones (Off.): +91-542-310291 Ext: 334
Varanasi 221 005, India (Res.): +91-542-275662
Any other information required by the participants may be addressed to the
Local Organizing Secretary.
************************************************************************
Prof. M. A. Pathan
General Secretary of SSFA & Chairman
Department of Mathematics Phones (Off.): +91-571-701019
Aligarh Muslim University (Res.): +91-571-701282
Aligarh 201 022 Fax: +91-571-704229
India Email: mapathan@postmark.net
Topic #3 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Walter Van Assche
Subject: Operator Theory conference in Bedlewo, Poland
There will be an international conference on "Operator Theory and its
Applications in Mathematical Physics" in Bedlewo (near Poznan) in Poland,
from May 11 to May 18, 2002.
The topics of the conference are collected in three sections:
1) Singular perturbation in operator theory
(organizers: W. Karwowski and P. Kurasov)
2) Random and quasiperiodic Schr\"odinger operators
(organizers: P. Stollmann and G. Stolz)
3) Spectral analysis of Jacobi matrices: discrete models in quantum optics
(organizers: W. Van Assche, J. Janas, S. Naboko)
I would like to encourage people to participate, in particular to section 3.
Plenary speakers include J.S. Geronimo (Georgia Institute of Technology,
Atlanta), Gerard Teschl (University of Vienna), Thomas Kriecherbauer
(Ludwig-Maximilians University, Munchen) and various others. The fee is $300
(before February 15, 2002) and covers lodging, food, banquet and conference
material. Details can be found at http://www.impan.gov.pl/BC/02OperTh.html
Topic #4 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Renato Alvares-Nodarse
Subject: International Workshop on Orthogonal Polynomials (Madrid)
International Workshop on Orthogonal Polynomials: Orthogonal Polynomials and
Approximation Theory (IWOP'02), Leganes (Madrid), June 24--27, 2002.
After a two-year break we will continue with the IWOP series started in 1992
(dedicated to Sobolev orthogonal polynomials), 1994 (polynomials orthogonal
in the unit circle), 1996 (orthogonal polynomials in mathematical physics)
and the last one in 1998 (dedicated to numerical applications and symbolic
algorithms). This time, the 2002 edition will be dedicated to "Orthogonal
Polynomials and Approximation Theory".
The invited speakers will be
J. S. Geronimo (Georgia Institute of Technology, USA),
A. B. J. Kuijlaars (Katholieke University Leuven, Belgium),
A. Martinez-Filkenshtein (University of Almeria, Spain),
L. Jodar (University of Valencia, Spain) and
P. Gonzalez Vera (University of La Laguna, Spain)
The Scientific Committee consists of
Paco Marcellan (Universidad Carlos III de Madrid),
Jesus Dehesa (University of Granada),
Antonio Duran (University of Sevilla),
Guillermo Lopez Lagomasino (Universidad Carlos III de Madrid) and
Walter Van Assche (Katholieke University Leuven)
The Organizing Committee consists of
Paco Marcellan (Universidad Carlos III de Madrid)
Jorge Arvesu (Universidad Carlos III de Madrid) and
Renato Alvarez-Nodarse (University of Sevilla)
There will be six two-hour invited lectures, and 20 research seminars (20+5
min).
Further information will appear in the official URL site of the IWOP'02
http://merlin.us.es/~renato/iwop/
Topic #5 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Marty Golubitsky and Margaret Wright
Subject: SIAM turns 50 in 2002
Dear SIAM Member,
SIAM will celebrate its 50th birthday at "SIAM50", a special annual meeting
to be held in Philadelphia, July 8-12, 2002. This meeting will survey past
accomplishments, highlight today's lively areas, and attempt to look into
the future of applied and computational mathematics. On behalf of the
organizing committee --- Marsha Berger, Heinz Engl, Walter Strauss, and
ourselves --- we ask you to join us at SIAM50.
Five outstanding researchers have agreed to give plenary talks:
Ingrid Daubechies (Princeton University),
Martin Groetschel (ZIB, Berlin),
Philip J. Holmes (Princeton University),
Cleve B. Moler (The Mathworks), and
George C. Papanicolaou (Stanford University).
SIAM50 will also feature twenty topical speakers covering the breadth of
SIAM's interests. A novel element of SIAM50 will be five "minitutorials",
invited minisymposia intended for non-experts. These sessions, chosen by a
special committee, focus on applications where mathematics and computing are
making substantial contributions: learning-based statistical methods in
computer vision; reverse engineering gene networks; elliptic curve
cryptography; discontinuous Galerkin methods for partial differential
equations; and harmonic analysis in geometric modeling.
As well as a wide variety of technical sessions, SIAM50 will offer
* the opening reception with a 50-year retrospective,
* the community lecture followed by a reception at the
Franklin Institute,
* exhibits about the history and future of applied mathematics,
* an evening of professional development organized by a committee
of SIAM's next generation,
* diversity day, teachers day and
* a gala banquet. (Come prepared with a toast for SIAM.)
SIAM50 will include approximately 100 minisymposia, and we welcome
minisymposium proposals (due on January 16, 2002). Abstracts for
contributed and poster presentations are due on February 13, 2002. Details
and updates are available at the SIAM website:
www.siam.org/meetings/SIAM50/.
We look forward to seeing you in Philadelphia next July.
Best wishes,
Marty Golubitsky Margaret Wright
University of Houston New York University
Co-Chairs SIAM50
Topic #6 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: ICIAM - Sydney 2003
From: http://www.iciam.org/iciamHome/iciamHome_tf.html
International Congress of Industrial and Applied Mathematics
July 7-11, 2003 -- Sydney, Australia
The International Program Committee has announced the names of the
twenty-seven outstanding mathematical scientists who will be the invited
speakers at ICIAM 2003:
Brian (B.D.O.) Anderson, Australia
systems, control and signal processing
Marsha Berger, USA
mesh generation, computational fluid
dynamics, scientific computing
Yann Brenier, France
nonlinear PDE
Franco Brezzi, Italy
finite element methods, engineering
applications
Jennifer Tour Chayes, USA
statistical physics, phase transitions,
theory group at Microsoft
Mark Davis, UK
mathematical finance, stochastic
analysis
James Demmel, USA
numerical linear algebra, simulation
Peter Deuflhard, Germany
modelling, simulation, optimization,
scientific computing
David Donoho, USA
mathematical statistics, wavelets,
visualization
Yoshikazu Giga, Japan
Navier-Stokes equations, nonlinear
PDE
Alice Guionnet, France
particle approximations, random
interactions,
free probability related to large random
matrices
Tom (T.Y.) Hou, USA
analysis and simulation of multiscale
and free-boundary problems
Jonathan Keating, UK
dynamical systems, asymptotics,
quantum chaos
Rupert Klein, Germany
computational fluid dynamics, modelling,
combustion
Nancy Kopell, USA
dynamics of the nervous system,
gene regulatory networks,
geometric singular perturbations
Tom (F.T.) Leighton, USA
computer science, parallel algorithms, the internet
Peter A. Markowich, Austria
semiconductor modelling,
kinetic equations,
diffusion and dispersion
Alexander Mielke, Germany
nonlinear PDE, dynamics, continuum mechanics
Harald Niederreiter, Singapore
quasi-Monte Carlo methods, discrete mathematics
Michael Ortiz, USA
solid mechanics, materials
George (G.C.) Papanicolaou, USA
waves, diffusion, multi-scale phenomena
Neil (N.J.A.) Sloane, USA
error-correcting codes, sphere packings, integer sequences
Philippe (Ph. L.) Toint, Belgium
nonlinear optimization
Ernie (E.O.) Tuck, Australia
ship hydrodynamics, applied fluids
Henk (H.A.) van der Vorst, Netherlands
numerical linear algebra, iterative methods
Ying Lung-an, China
nonlinear PDE, numerical methods
Vladimir (V.E.) Zakharov, Russia/USA
turbulence, integrable systems, kinetics
Submission of Minisymposium Proposals
Minisymposia are at the heart of many international conferences in
mathematics. For many ICIAM participants it is the minisymposia, in their
variety and quality, that are their most attractive feature of the Congress.
Mathematical scientists worldwide are now invited to arrange minisymposium
proposals for ICIAM 2003, to be held in Sydney from July 7-11, 2003. If you
wish to arrange minisymposia around the interests of the invited speakers of
ICIAM 2003, then you are advised to make a start on this as early as
possible.
The closing date for minisymposium proposals will be in September-October
2002; the precise date will be announced when the Registration Circular is
released in early 2002.
More information on ICIAM 2003 is available at the web site:
http://www.iciam.org/iciamHome/iciamHome_tf.html
Topic #7 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Christian Berg
Subject: 2003 OPSFA Symposium to be held in Copenhagen
At the Sixth International Symposium on Orthogonal Polynomials, Special
Functions and Applications (The 6th OPSFA) in Rome, June 18-22, 2001, there
was a discussion of when and where the next meeting should take place. Teams
from Holland and Denmark were both willing to host a meeting in 2003. It was
left to those teams to find an agreement.
Such an agreement has now been reached. The Copenhagen team promises to arrange
the
Seventh International Symposium on Orthogonal Polynomials,
Special Functions and Applications (The 7th OPSFA)
in Copenhagen, August 18-22, 2003.
The plan is that the meeting will take place at the Department of
Mathematics of the University of Copenhagen.
The conference will be a continuation of the series of International
Conferences with the meetings of Sevilla (1997), Patras (1999) and
Rome/Ostia (2001) as the immediate predecessors.
Information about the meeting will be made available at the homepage
http://www.math.ku.dk/conf/opsfa2003/
In the coming half year steps will be taken to form an international
scientific committee.
The local organizing committee will be
Professor Christian Berg, Ph.D. student Jacob Stordal Christiansen and
Associate Professor Henrik L. Pedersen.
Topic #8 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Tom Koornwinder, Erik Koelink, Nico Temme (,
, )
Subject: Amsterdam Special Functions conference canceled
As mentioned earlier, see in OP-SF NET 7.6, Topic #1, the next meeting in
the series Fields-Toronto (1995) - CRM-Montreal (1996) - Mount Holyoke
(1998) - Hong Kong (1999) - Arizona (2000) was expected to be held in
Amsterdam in 2003, and organized by the three of us. Originally the meeting
was expected in 2002, but we became aware of the two meetings at IMA,
Minneapolis in July-August 2002
(see http://www.ima.umn.edu/digital-age/ and
http://www.damtp.cam.ac.uk/user/na/FoCM/Conferences.html).
During the Sixth International Symposium on Orthogonal Polynomials, Special
Functions and Applications, June 18--22, 2001, Ostia-Roma, in the series
.., Sevilla, Patras, we learned that Christian Berg is willing to organize
the next meeting of this series in Copenhagen, in the summer of 2003. We
have discussed with Christian several plans to combine, to have separate
meetings, and so on, but we have decided to cancel the Amsterdam meeting.
For us, and for Christian and his co-workers, organizing a meeting in 2004
or later is not possible. Also, we expect that two meetings in the same
year would be a bad decision. More details on the Copenhagen meeting are
given in Topic #7.
Topic #9 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Update on "Special Functions in the Digital Age"
As announced in OP-SF NET, Topic #7, an IMA Summer Program "Special
Functions in the Digital Age will be held in Minneapolis, Minnesota, USA
during the period July 22-August 2, 2002. [It will be followed by a Workshop
on Special Functions which will be part of a Foundations of Computational
Mathematics conference. See Topic #10.]
The Summer Program Website
http://www.ima.umn.edu/digital-age/
has been updated recently.
There is additional information on the Program Plan and Tentative Schedule
as well as a list of confirmed participants.
Topic #10 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Update on FoCM'02 Workshop on Special Functions
This is taken from the web site:
http://turing.wins.uva.nl/~thk/FoCM02/
Workshop on Special Functions, FoCM'02, IMA,
Minneapolis, 5-7 August 2002
This is one of the 19 workshops during the conference FoCM'02 at the IMA,
University of Minnesota, Minneapolis, MN, USA, 5-14 August 2002. The
workshop will run for 3 successive afternoons during 5-7 August (Monday -
Wednesday).
The workshop will be held immediately after the IMA 2002 Summer Program
Special Functions in the Digital Age at the IMA in Minneapolis, 22 July - 2
August 2002.
Workshop organizers
Tom H. Koornwinder (Universiteit van Amsterdam; email
thk@science.uva.nl)
Adri Olde Daalhuis (University of Edinburgh; email
adri@maths.ed.ac.uk).
List of speakers (to be further completed)
Peter A. Clarkson (University of Kent, Canterbury, UK)
Chris Howls (University of Southampton, UK)
Mourad E.H. Ismail (University of South Florida, Tampa, Florida, USA),
Solutions of Bethe Ansatz equations in some physics models,
see abstract*.
Richard Paris (University of Abertay, Dundee, UK)
Marko Petkovsek (University of Ljubljana, Slovenia),
On the structure of multivariate hypergeometric terms.
Vyacheslav P. Spiridonov (Bogoliubov Laboratory of Theoretical Physics,
Joint Institute for Nuclear Research, Dubna, Russia)
Nico M. Temme (CWI, Amsterdam, Netherlands)
Paul Terwilliger (University of Wisconsin-Madison, USA)
Springer, publisher of the new journal "Foundations of Computational
Mathematics",
(http://link.springer-ny.com/link/service/journals/10208/index.htm) has
offered to provide free copies of the August 2002 issue of the journal to
the registrants at FoCM2002. Any article appearing in this issue will need
to finish the refereeing process and have its final version in the editorial
office before March 2002.
*Abstract of Ismail's lecture
The Bethe Ansatz equations are nonlinear algebraic equations satisfied by
the eigenvalues of a physical system. Stieltjes solved these equations for
the Coulomb gas model. This work is also connected to earlier work of Heine
who counted the number of polynomial solutions to second order differential
equations with polynomial coefficients. q-Analogues of these results will be
described and I will show the connection with Bethe Ansatz equations for the
XXX and XXZ models. In doing so one needs to develop a new theory of
singularities of second order equations in the Askey-Wilson operators.
This is based on joint work with S. S. Lin and S.S. Roan from Taipei.
Topic #11 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subjects: Reports on Inzell Summer School
The Activity Group's Summer School on Orthogonal Polynomials, Harmonic
Analysis, Approximation and Applications was held in Inzell (Germany) during
September 17 - 21, 2001. The following reports from Frank Filbir and
Christian Berg appeared in our October printed Newsletter:
>From Frank Filbir
After the first SIAG summer school 2000 in Laredo (Spain) the second one in
a series of four took place from September 17th to 21th in Inzell,
(Germany), a small town located south-east of Munich close to Salzburg.
About 40 participants, mostly PhD students and young researchers from 7
different countries attended the meeting.
The summer school was mainly focused on orthogonal polynomials and their
various applications. We had main lectures (4 hours each) by Holger Dette
(Bochum, Germany), Ryszard Szwarc (Wroclaw, Poland) and Yuan Xu (Eugene,
Oregon, U.S.A.) and additionally 18 contributed talks. Unfortunately
Kristian Seip (Trondheim, Norway) who was announced as a invited speaker too
had to cancel his participation suddenly. Instead Rupert Lasser acted for
him. Due to the serious problems with the transatlantic flights during that
period William Connett (St. Louis, U.S.A.) was also not able to participate.
Holger Dette presented a very stimulating lecture on canonical moments and
their relations to the design problems in statistics. Ryszard Szwarc gave a
very interesting and detailed lecture on the problem of non-negative
linearization and the connections to commutative Banach algebras. Yuan Xu
introduced us to the very challenging field of orthogonal polynomials of
several variables. Finally, Rupert Lasser lectured on polynomial hypergroups
and their applications to stochastics.
Let me mention here only a few of the contributed talks (this is of course a
very personal view). Els Coussement reported on her recent achievements
about multiple orthogonal polynomials and the relations to Bessel functions
of the second kind. In her talk Noemi Lain Fernandez gave us an impression
about the difficulties of the construction of polynomial bases on the sphere
with good localization properties. Finally, I would like to mention here the
very nice presentation of Andreas Ruffing on raising and lowering operators
for Charlier polynomials.
As we all know the success of a meeting depends not only on the scientific
program but also on the social program. On that score we were lucky to have
gotten some support from the weather. Starting on Monday with a cloudy sky
and rain we ended up on Wednesday (excursion day) with a nearly perfect
sunny and warm day. Almost all participants went out for excursions in the
nice surroundings of Inzell. However Ryszard Szwarc had to give up his plan
to go skiing since all skiing areas within a reasonable distance were
closed. We will pay more attention on those restrictions next time!
The organizers would like to thank the sponsors of the summer school the GSF
National Research Center and the graduate program "Applied Algorithmic
Mathematics" of the Munich University of Technology. Due to their
sponsorship we were also able to offer financial support to several
participants.
Last but not least the organizers wish to express their thanks to all
participants for their various contributions!
>From Christian Berg
The second of four Summer Schools planned for the years 2000-2003 took place
September 17-21, 2001 at Inzell in Bavaria, Germany close to Salzburg. The
local Organizing Committee consisting of Frank Filbir (MU Lubeck), Brigitte
Forster (TU Munchen) and Rupert Lasser (GSF Neuherberg and TU Munchen) had
selected the very pleasant Hotel Chiemgauer Hof to provide some 40
participants with nice and abundant food and a good lecture hall.
Approximately half of the participants were Ph.D. students or post docs.
The program contained four series of lectures, each a total of 4 full hours
divided into three sessions. In addition approximately 20 contributed talks
were given.
Holger Dette (RU Bochum) told us about "Canonical moments, orthogonal
polynomials with applications to statistics", a subject with a rather new
development as may be seen from the recent monograph by the speaker and W.J.
Studden: "The theory of canonical moments with applications in statistics,
probability and analysis", Wiley 1997. The canonical moments are defined for
a probability measure with compact support, and since they are invariant
under affine transformations of the probability, the definition is usually
considered for measures on [0,1]. Dette presented the formulas for measures
on [-1,1] because of applications to Jacobi polynomials. In many examples
the canonical moments are much simpler than the ordinary moments, and they
have many statistical applications, in particular to optimal design.
Rupert Lasser had accepted with short notice to replace K. Seip, and he told
us about "Applied Harmonic Analysis". He presented the main ideas of
hypergroups--in the discrete setting to avoid technicalities--and
constructed the Banach *-algebra with respect to a left invariant Haar
function. He then applied the Gelfand theory in the commutative case and
went as far as giving the analogues of the theorems of Bochner and
Plancherel. An important example arizes in connection with orthogonal
polynomials having non-negative linearization coefficients like the
Gegenbauer polynomials. Under still further assumptions such a system
defines a commutative hypergroup structure on {0,1,...}.
The lectures by Lasser prepared us for those of Ryszard Szwarc (Wroclaw
Univ.) "Orthogonal polynomials with applications to Banach algebras". After
a general introduction to the theory of orthogonal polynomials of one
variable, he focused on conditions leading to non-negative linearization
coefficients (called property (P)). He presented Askey's sufficient
condition and his own contributions based on a maximum principle for a
discrete hyperbolic partial difference equation. The exact range of
parameters for the generalized Chebyshev polynomials such that property (P)
holds is still not known.
The fourth series of lectures was given by Yuan Xu (Univ. of Oregon, Eugene)
"Orthogonal polynomials of several variables". Earlier this year appeared
the monograph by Charles Dunkl and the speaker with the same title, and a
few years ago Xu presented many important general results for the several
variable case of orthogonal polynomials in his Pitman Research Notes, vol.
312. Xu gave his version of the three-term recurrence relation with
applications to a Christoffel-Darboux formula and to common zeros of the
orthonormal polynomials of total degree N. There is no agreement as to which
systems of orthogonal polynomials of several variables should be called
classical. Easy cases occur by just taking products of classical weights
from one variable, but also various radially symmetric weights are
important. Xu showed us important systems for balls and the simplex and
relations between orthogonal polynomials on a ball and on the unit sphere,
generalizing the classical spherical harmonics. He also introduced us to the
theory of h-harmonic polynomials due to Dunkl, where h belongs to a finite
group of reflections. Xu stressed several times in his lectures that the
theory of orthogonal polynomials in several variables is still in its very
beginning. There are certainly already many fascinating results but large
unexplored areas are waiting for examination.
The participants were lucky that Xu had been already one week in Europe,
when the Inzell meeting began. Otherwise he would most probably not have
been able to leave the US. The disaster of September 11 prevented Bill
Connett from participating.
The meeting started with some rainy days, but on Wednesday afternoon
(set aside for relaxing) the weather was sunny and warm, and the
participants spread out in different groups, hiking on nearby mountains,
going to Salzburg or visiting Konigsee, just to mention some of the many
possibilities.
On behalf of the participants I wish to thank the local organizers,
the team of initiaters (Branquinho, Koelink, Lasser, Marcellan and Van
Assche) as well as the Sponsors: The Graduate Program "Applied Algorithmic
Mathematics", Technical University of Munich and the GSF-National Research
Center for Environment and Health, Neuherberg for having given us all the
chance to listen to exciting mathematics.
Topic #12 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Walter Van Assche
Subject: Report on a Conference in Honor of Bill Jones
This year Bill Jones of the University of Colorado (Boulder, CO) reached the
respectable age of 70, and since this is not a particularly interesting
number, Phil Gustafson and Cathy Bonan-Hamada decided to organize a
conference (on the Analytic Theory of Continued Fractions, Orthogonal
Functions and Related Topics) to make 70 a special number for Bill. Mesa
State College at Grand Junction, Colorado, was the place to be during the
week of August 6-10 and 28 participants (and friends of Bill) showed up to
sing happy birthday in various languages: Norwegian, (Brazilian) Portuguese,
(Flemish) Dutch, and (American) English. There were plenary lectures by
Annie Cuyt on "Recent applications of rational approximation theory", Lisa
Lorentzen on "The computation of continued fractions", Olav Njastad on
"Continued fractions associated with rational moment problems", myself on
"The Riemann-Hilbert approach for relativistic Hermite polynomials", and
Haakon Waadeland who gave a nice overview of his long relationship with Bill
Jones. Several other participants gave talks on topics that Bill Jones has
worked on: of course this includes continued fractions, but also Pade
approximation, orthogonal and Laurent orthogonal polynomials, a great deal
of frequency analysis (how can we use orthogonal polynomials on the unit
circle to find frequencies in a signal?), computation of special functions,
and various applications. For the latter we were fortunate to have as a
participant David Field, a former student of Bill Jones, now working for
General Motors. The conference even made the newspaper: The Denver Post of
August 10, 2001 has an article "Math magicians boost mind-numbering skills",
with a picture of Haakon Waadeland and Annie Cuyt and a well-written report.
A short quote from the report is: "Heads nod knowingly. Eyes light up at
the strings of Greek symbols on the overhead projector. This may be an
international conference dedicated to the analytic theory of continued
fractions, orthogonal functions, rational approximation and related topics,
but to the two dozen people in this room who have been drawn to Mesa State
from around the world this week, there is only one word to describe it all.
Fun."
And fun it was. We enjoyed listening to the talks, discussing some past,
present and future research, and making plans for a new collaboration. Of
course we also enjoyed the excursion (some to Colorado National Monument,
others to Grand Mesa) and the sturdiest among us (including Bill and his
wife Martha) even went on a white water raft trip on the Colorado river.
Many thanks to Phil and Cathy for having this wonderful idea of a conference
and for the smooth organization.
Topic #13 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Daniela Calvetti
Subject: Report from a Conference Honoring Claude Brezinski
[We thank the authors (Daniella Calvetti and Lothar Reichel) for their
permission to include this report which appeared in NA-digest. ]
Numerical Algorithms 2001
The International Conference on Numerical Algorithms dedicated to Claude
Brezinski on the occasion of his 60th birthday took place in Marrakesh,
Morocco, October 1-5, 2001. The conference was attended by approximately 170
participants from 4 continents, and was characterized by a warm and friendly
atmosphere. The week-long meeting featured a wealth of high quality talks on
many diverse topics, from Pade' and rational approximation, orthogonal
polynomials, extrapolation methods, quadrature, the solution of large linear
or nonlinear systems of equations, inverse problems and optimization,
reflecting the multifaceted nature of Claude Brezinski's research interests
and scientific contributions. During his successful and productive career,
Claude Brezinski (co)authored eleven books, over 160 research papers,
started three scientific journals and served as a model and an inspirer for
a large number of students and colleagues. Many of Claude's students, it was
pointed out at the opening of the conference by the rector of the University
of Marrakesh, are from Morocco, and Claude's work with these students and
continued mentoring has been greatly beneficial to the growth of numerical
analysis in Morocco.
In addition to attending the lectures, the participants also had several
opportunities to experience the magic charm of Morocco thanks to a full
social program, which included mint tea in a palm orchard, dinner at an
outdoor restaurant with a traditional Moroccan show, an excursion to
Essaouira on the Atlantic coast, and a conference banquet complete two belly
dancers and reminiscences by Peter Graves-Morris on the topic "My
Conferences with Claude."
Claude's high level of energy and vitality permeated the whole conference
and was quite contagious. At the conference banquet he gave a presentation,
complete with slides, on "What Really Happens at Conferences - and Never
Gets Reported in the NA-Digest." Needless to say, details of Claude's talk
cannot be revealed here.
The organizing committee, which included
B. Beckermann, A. Bentbib, B. Germain-Bonne, J.-P. Chehab, M. El
Alaoui-Talibi, A. Lembarki, M. Prevost, A. Matos, A. Messaoudi, M. Redivo
Zaglia, R. Sadaka, H. Sadok, and J. Van Iseghem
did an excellent job and the conference ran extremely smoothly in spite of
the many disruptions caused by the September 11 events. The members of
committee were very helpful also with practical algorithms, like offering
advice on what to eat and drink, how to negotiate a taxi fare and where and
how to buy local crafts.
Congratulations, Claude! You've got your transit papers.
Daniela Calvetti and Lothar Reichel
Topic #14 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: CAOP flies again
CAOP is a package for calculating formulas by Maple for orthogonal
polynomials belonging to the Askey scheme. It was developed by Rene
Swarttouw in 1996 as one of the deliverables in a temporary project
sponsored by RIACA. See OP-SF NET, 3.4 (1996), Topic 12. For some time this
has worked well, but afterwards CAOP could no longer be made active on the
web site where it resided.
Recently CAOP has revived on the web page
http://amstel.wins.uva.nl:7090/CAOP/
It is now maintained by Tom Koornwinder, in cooperation with Rene Swarttouw
and Wolfram Koepf. Many thanks to Andre Heck, who provided technical
assistance.
Topic #15 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Proceedings of 1998 Mount Holyoke Conference
This is the conference reported on in OP-SF NET 5.4, Topic #7.
The following is from http://www.ams.org/bookstore.
$q$-Series from a Contemporary Perspective
Edited by: Mourad E. H. Ismail, University of South Florida, Tampa, FL, and
Dennis W. Stanton, University of Minnesota, Minneapolis, MN
Description
This volume presents the proceedings of the Joint Summer Research Conference
on $q$-series, combinatorics, and computer algebra held at Mount Holyoke
College (South Hadley, MA). All of the papers were contributed by
participants and offer original research on topics of current interest.
Articles in the book reflect the diversity of areas that overlap with
$q$-series, as well as the usefulness of $q$-series across the mathematical
sciences. The conference was held in honor of Richard Askey on the occasion
of his 65th birthday and the proceedings contain an article about Askey's
contributions to special functions.
- G. Gasper, M. E.-H. Ismail, T. Koornwinder, P. Nevai, and D. Stanton -- The
mathematical contributions of Richard Askey
- M. E. H. Ismail and D. W. Stanton -- Curriculum vitae of Richard A. Askey
- K. Alladi -- Reformulations of a partition theorem of Göllnitz and
$q$-series identities
- G. E. Andrews -- Schur's theorem, partitions with odd parts and the
Al-Salam-Carlitz polynomials
- K. Aomoto and K. Iguchi -- Singularity and monodromy of quasi-hypergeometric
functions
- B. C. Berndt, H. H. Chan, and S.-S. Huang -- Incomplete elliptic integrals
in Ramanujan's lost notebook
- W. C. Connett and A. L. Schwartz -- Measure algebras associated with
orthogonal polynomials
- D. Foata and G. Han -- Word straightening and $q$-Eulerian calculus
- O. Foda, K. S. M. Lee, Y. Pugai, and T. A. Welsh -- Path generating
transforms
- G. Gasper -- $q$-extensions of Erdélyi's fractional integral representations
for hypergeometric functions and some summation formulas for double
$q$-Kampé de Fériet series
- R. Wm. Gosper, Jr. and S. K. Suslov -- Numerical investigation of basic
Fourier series
- M. D. Hirschhorn -- An identity of Ramanujan, and applications
- M. E. H. Ismail and D. W. Stanton -- Addition theorems for the
$q$-exponential function
- K. W. J. Kadell -- The Schur functions for partitions with complex parts
- J. Kaneko -- On Forrester's generalization of Morris constant term identity
- A. N. Kirillov -- New combinatorial formula for modified Hall-Littlewood
polynomials
- C. Krattenthaler -- Schur function identities and the number of perfect
matchings of Holey Aztec rectangles
- S. C. Milne -- A new $U(n)$ generalization of the Jacobi triple product
identity
- H. Rosengren -- A new quantum algebraic interpretation of the Askey-Wilson
polynomials
- S. Sahi -- Some properties of Koornwinder polynomials
- M. Schlosser -- A new multidimensional matrix inversion in $A_r$
Details:
Publisher: American Mathematical Society
Distributor: American Mathematical Society
Series: Contemporary Mathematics, ISSN: 0271-4132
Volume: 254
Publication Year: 2000
ISBN: 0-8218-1150-9
Paging: 432 pp.
Binding: Softcover
List Price: $93
Institutional Member Price: $74
Individual Member Price: $56
Sale Price: $47
Order Code: CONM/254
Topic #16 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Selected Papers of Frank Olver
http://www.wspc.com.sg/books/mathematics/4251.html
World Scientific Series in 20th Century Mathematics - Vol. 7
SELECTED PAPERS OF F. W. J. OLVER
(In 2 Volumes)
edited by Roderick Wong (City University of Hong Kong)
1124pp
Pub. date: Jan 2000
ISBN 981-02-4106-2(set)
US$236 / Ł161
This is a collection of selected papers written by Frank W J Olver from 1949
to 1999. It contains his most important contributions to the fields of
asymptotic analysis and numerical analysis, including the global existence
of uniform asymptotic expansions for solution of ordinary differential
equations and construction of error bounds. It is a valuable collection for
anyone who works in, or uses, asymptotics, and should be on the shelves of
all major libraries.
Contents:
- The Asymptotic Solution of Linear Differential Equations of the Second
Order for Large Values of a Parameter
- The Asymptotic Expansion of Bessel Functions of Large Order Uniform
Asymptotic Expansions for Weber Parabolic Cylinder Functions of
Large Orders
- Error Bounds for the Liouville-Green (or WKB) Approximation
- Error Analysis of Phase-Integral Methods
- Numerical Solution of Second-Order Linear Difference Equations
- Unsolved Problems in the Asymptotic Estimation of Special Functions
- General Connection Formulae for Liouville-Green Approximations in the
Complex Plane
- Beyond Floating Point
- On Stokes' Phenomenon and Converging Factors
- Airy and Bessel Functions by Parallel Integration of ODEs
- Hyperasymptotic Solutions of Second-Order Linear Differential Equations
- On the Asymptotic and Numerical Solution of Linear Ordinary Differential
Equations
and 42 other papers
Readership: Graduates in asymptotic analysis, differential equations and
numerical & computational methods.
"These two volumes exemplify a redoubtable mathematical talent, the work of
a man who has done more than almost anyone else in the 20th century to
bestow on the discipline of applied mathematics the elegance and rigor that
its earliest practitioners such as Gauss and Laplace would have wished for
it ... the books are beautifully bound and printed ... D S Jones has
contributed an intimate and adulatory introduction, and Roderick Wong should
be congratulated for bringing the entire effort to fruition."
(From the review by Jet Wimp in SIAM Review, Vol 43, 2001)
Topic #17 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: SIAM adds text on Asymptotics to Classics Series
Asymptotic Approximations of Integrals
By R. Wong
2001 / xvii + 543 pages / Softcover / ISBN 0-89871-497-4
List Price $77.00 / SIAM Member Price $53.90 / Order Code CL34
The Society for Industrial and Applied Mathematics (SIAM) announces the
August 2001 publication of Asymptotic Approximations of Integrals by
Roderick Wong as volume 34 in its Classics in Applied Mathematics series.
Asymptotic methods are frequently used in many branches of both pure and
applied mathematics, and this classic text remains the most up-to-date book
dealing with one important aspect of this area, namely, asymptotic
approximations of integrals. In Asymptotic Approximations of Integrals, all
results are proved rigorously, and many of the approximation formulas are
accompanied by error bounds. A thorough discussion on multidimensional
integrals is given, and references are provided. Asymptotic Approximations
of Integrals contains the distributional method, which is not available
elsewhere. Most of the examples in this text come from concrete
applications.
Since its publication twelve years ago, significant developments have
occurred in the general theory of asymptotic expansions, including smoothing
of the Stokes phenomenon, uniform exponentially improved asymptotic
expansions, and hyperasymptotics. These new concepts belong to the area now
known as exponential asymptotics. Expositions of these new theories are
available in papers published in various journals, but not yet in book form.
This book can be used either as a text for graduate students in mathematics,
physics, and engineering or as a reference for research workers in these
fields. Engineers and scientists will find it easy to apply the techniques
and results presented.
Roderick S. C. Wong is a Professor of Mathematics and Dean of the Faculty of
Science and Engineering at the City University of Hong Kong. The author of
over 80 published papers and four edited books, Professor Wong currently
serves on the editorial board of seven journals. He is the recipient of
several prestigious honors, awards, and grants and is an honorary professor
at three universities.
A complete table of contents and other information are available at SIAM's
Web site at www.siam.org/catalog/.
FOR ADDITIONAL INFORMATION and REVIEW COPIES, PLEASE CONTACT:
Sara J. Triller, Developmental Editor (triller@siam.org)
Topic #18 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: New book on Asymptotics and Mellin-Barnes Integrals
[From the web site:
http://us.cambridge.org/mathematics/]
Asymptotics and Mellin-Barnes Integrals
Paris, R.B. and Kaminski, D.
Cambridge University Press, 2001
SERIES: Encyclopedia of Mathematics and its Applications
Hardback - ISBN: 0-521-79001-8; $95.00
Asymptotics and Mellin-Barnes Integrals provides an account of the use and
properties of a type of complex integral representation that arises
frequently in the study of special functions typically of interest in
classical analysis and mathematical physics. After developing the properties
of these integrals, their use in determining the asymptotic behavior of
special functions is detailed. Although such integrals have a long history,
the book's account includes recent research results in analytic number
theory and hyperasymptotics. The book also fills a gap in the literature on
asymptotic analysis and special functions by providing a thorough account of
the use of Mellin-Barnes integrals that is otherwise not available in
standard references on asymptotics.
Topic #19 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Book on Incomplete Gamma Functions
[From the www.crcpress.com web page]
On a Class of Incomplete Gamma Functions with Applications
M. Aslam Chaudhry and Syed M. Zubair,
King Fahd Univ.of Petroleum & Minerals, Saudi Arabia
512 pp.
Chapman & Hall/CRC , 2001, ISBN 1-58488-143-7, $79.95
Description
The subject of special functions is rich and expanding continuously with the
emergence of new problems encountered in engineering and applied science
applications. The development of computational techniques and the rapid
growth in computing power have increased the importance of the special
functions and their formulae for analytic representations. However, problems
remain, particularly in heat conduction, astrophysics, and probability
theory, whose solutions seem to defy even the most general classes of
special functions.
On a Class of Incomplete Gamma Functions with Applications introduces a
class of special functions, developed by the authors, useful in the analytic
study of several heat conduction problems. It presents some basic properties
of these functions, including their recurrence relations, special cases,
asymptotic representations, and integral transform relationships. The
authors explore applications of these generalized functions to problems in
transient heat conduction, special cases of laser sources, and problems
associated with heat transfer in human tissues. They also discuss
applications to astrophysics, probability theory, and other problems in
theory of functions and present a fundamental solution to time-dependent
laser sources with convective-type boundary conditions.
Appendices include an introduction to heat conduction, Fourier conduction, a
table of Laplace transforms, and well-known results regarding the improper
integrals. Filled with tabular and graphical representations for
applications, this monograph offers a unique opportunity to add to your
mathematical toolbox a new and useful class of special functions.
Topic #20 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Preprints in xxx Archive
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
math.CO/0110031
Title: Cumulants, lattice paths, and orthogonal polynomials
Authors: Franz Lehner
Comments: 12 pages, AMS LaTeX, uses pstricks
Subj-class: Combinatorics
MSC-class: 05A15, 46L54; 11A55, 05E35
math.CO/0110165
Title: New Identities of Hall-Littlewood Polynomials and Rogers-Ramanujan
Type
Authors: F. Jouhet, J. Zeng
Comments: 25 pages
Subj-class: Combinatorics
math.NT/0110238
Title: Some new formulas for $\pi$
Authors: Gert Almkvist (Lunds Universitet), Christian Krattenthaler
(Universität Wien), Joakim Petersson (Lunds Universitet)
Comments: 28 pages, LaTeX
Subj-class: Number Theory; Classical Analysis
MSC-class: 40A25 (Primary) 11B65 11Y60 65B10 (Secondary)
math.CA/0110241
Title: Geometric and Physical Interpretation of Fractional Integration and
Fractional Differentiation
Authors: Igor Podlubny
Comments: 18 pages, 7 figures, 1 table
Subj-class: Classical Analysis; General Mathematics; Mathematical Physics
MSC-class: 26A33 (Primary) 26A42, 83C99, 44A35, 45D05 (Secondary)
math.QA/0110269
Title: A remark on Fourier pairing and binomial formula for Macdonald
polynomials
Authors: Andrei Okounkov
Comments: 11 pages
Subj-class: Quantum Algebra; Combinatorics
math.CO/0110307
Title: The generalized Borwein conjecture. II. Refined q-trinomial
coefficients
Authors: S. Ole Warnaar
Comments: 36 pages, AMS-LaTeX
Subj-class: Combinatorics; Quantum Algebra
MSC-class: Primary 05A15, 05A19; Secondary 33D15
hep-ph/0110083
Title: Nested Sums, Expansion of Transcendental Functions and Multi-Scale
Multi-Loop Integrals
Authors: Sven Moch, Peter Uwer, Stefan Weinzierl
Comments: 27 pages
Subj-class: High Energy Physics - Phenomenology; Quantum Algebra
hep-th/0110097
Title: Lucas polynomials and a standard Lax representation for the
polytropic gas dynamics
Authors: A. Constandache, Ashok Das, F. Toppan
Comments: 17 pages, LaTex
Subj-class: High Energy Physics - Theory; Exactly Solvable and Integrable
Systems; Number Theory
hep-th/0110278
Title: Regularized Green's Function for the Inverse Square Potential
Authors: Horacio~~ E. Camblong, Carlos R. Ordonez
Comments: 11 pages
Subj-class: High Energy Physics - Theory; Mathematical Physics
math-ph/0110006
Title: The Weyl Algebra, Spherical Harmonics, and Hahn Polynomials
Authors: Ewa Gnatowska, Aleksander Strasburger
Comments: 13 pages, uses bcp01e.sty
Subj-class: Mathematical Physics; Representation Theory
MSC-class: Primary 81R10, 33C55; Secondary: 16W25, 33C45, 33C80
math-ph/0110020
Title: Heat Kernel Asymptotics of Zaremba Boundary Value Problem
Authors: Ivan Avramidi
Comments: 40 pages, no figures, LaTex2e, 90 KB
Subj-class: Mathematical Physics; Analysis of PDEs; Spectral Theory
MSC-class: 58J35, 58J37, 58J50, 58J32, 35P20, 35K20
math-ph/0110038
Title: An elementary construction of lowering and raising operators for the
trigonometric Calogero-Sutherland model
Authors: Wifredo Garcia Fuertes, Miguel Lorente, Askold Perelomov (Univ. de
Oviedo)
Comments: 11 pages, no figures, to appear in J. Phys. A: Math. Gen
Subj-class: Mathematical Physics
math-ph/0110042
Title: Closed-form sums for some perturbation series involving associated
Laguerre polynomials
Authors: Richard L. Hall, Nasser Saad, Attila B. von Keviczky
Comments: 16 pages
Subj-class: Mathematical Physics
math.CO/0109010
Title: Combinatorial proofs of q-series identities
Authors: Robin Chapman
Comments: 14 pages. Submitted to Journal of Combinatorial Theory A
Subj-class: Combinatorics; Number Theory
MSC-class: 05A17;11P81
math.CO/0109013
Title: Matrices related to the Pascal triangle
Authors: Roland Bacher
Comments: 24 pages, major changes in section 1, minor changes in section 5,
added references
Subj-class: Combinatorics; Number Theory
MSC-class: 11B39, 11B65, 11C20
Journal-ref: Preprint no 541 of Institut Fourier, Grenoble (France)
math.GM/0109072
Title: A further step in the proof of Riemann hypothesis
Authors: Matti Pitkanen
Comments: 10 pages
Subj-class: General Mathematics
math.CO/0109141
Title: The WP - Bailey Tree and its Implications
Authors: George E. Andrews, Alexander Berkovich
Comments: 20 pages, comments added, notations improved, typos eliminated
Subj-class: Combinatorics; Number Theory; Quantum Algebra
MSC-class: 05A10, 05A19, 05A30, 11B65, 33D15
math.CA/0109149
Title: Elliptic solitons and Heun's equation
Authors: A.O. Smirnov
Comments: 19 pages, LaTeX2e (AMSLaTeX);Proposition 1 was corrected, two
footnotes were added
Subj-class: Classical Analysis; Spectral Theory
math.CA/0109185
Title: The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed
from Asymptotic Analysis
Authors: Nico M. Temme, Jose L. Lopez
Comments: 11 pages, 1 figure. Proceedings of the Fifth International
Symposium on Orthogonal Polynomials, Special Functions and Their
Applications, Patras, Greece, September 20--24, 1999.pages, 1 figure.
Subj-class: Classical Analysis
MSC-class: 33C45, 41A60, 41A10
Journal-ref: J. Comput. Appl. Math. Vol. 133 (2001) 623--633
math.NA/0109187
Title: On Non-Oscillating Integrals for Computing Inhomogeneous Airy
Functions
Authors: Amparo Gil, Javier Segura, Nico M. Temme
Comments: 12 pages, 5 figures
Subj-class: Numerical Analysis; Classical Analysis
MSC-class: 33C10, 41A60, 65D20
Journal-ref: Math. Comput. 70, 1183-1194 (2000)
math.CA/0109188
Title: Numerical and Asymptotic Aspects of Parabolic Cylinder Functions
Authors: Nico M. Temme
Comments: 16 pages, 1 figure
Subj-class: Classical Analysis; Numerical Analysis
MSC-class: 33C15, 41A60, 65D20
Journal-ref: J. Comput. Appl. Math. 121 (2000) 221-246
math.CA/0109201
Title: Meixner functions and polynomials related to Lie algebra
representations
Authors: Wolter Groenevelt, Erik Koelink
Comments: 20 pages
Subj-class: Classical Analysis; Representation Theory
math.CA/0109222
Title: Contiguous relations of hypergeometric series
Authors: Raimundas Vidunas
Comments: 10 pages; submitted for the proceedings of Sixth International
Symposium on Orthogonal Polynomials, Special Functions and their
Applications, Rome, June 2001
Subj-class: Classical Analysis
MSC-class: 33C05; 33C20; 33D15
hep-th/0109028
Title: Coherent States for Generalized Laguerre Functions
Authors: Ahmed Jellal
Comments: 12 pages, clarifications and references added, misprints corrected
Subj-class: High Energy Physics - Theory; Mathematical Physics
hep-th/0109136
Title: Analytic continuation of the Hurwitz Zeta Function with physical
application
Authors: Vittorio Barone Adesi, Sergio Zerbini
Comments: 9 pages
Subj-class: High Energy Physics - Theory; Mathematical Physics
math-ph/0109004
Title: Zeros of some bi-orthogonal polynomials
Authors: M.L. Mehta (CEA/Saclay, SPhT, France)
Comments: tex mehta.tex, 1 file, 9 pages [SPhT-T01/086], submitted to J.
Phys. A
Subj-class: Mathematical Physics
math-ph/0109006
Title: On recent strategies proposed for proving the Riemann hypothesis
Authors: E. Elizalde, V. Moretti, S. Zerbini
Comments: 7 pages, LaTeX, no figures
Subj-class: Mathematical Physics; General Mathematics; Number Theory
MSC-class: 11M26; 30B40; 14G10; 46E20
math-ph/0109018
Title: A concise expression for the ODE's of orthogonal polynomials
Authors: Bertrand Eynard (SPHT Saclay; CRM Montreal)
Subj-class: Mathematical Physics; Spectral Theory
MSC-class: 05Exx
nlin.SI/0110028
Title: First degree birational transformations of the Painlev\'e equations
and their contiguity relations
Authors: Robert Conte (CEA, Saclay), Micheline Musette (VUV, Brussels)
Comments: LaTex 2e. To appear, J. Phys. A, Special issue SIDE IV
Subj-class: Exactly Solvable and Integrable Systems
nlin.SI/0110031
Title: A truncation for obtaining all the first degree birational
transformations of the Painlev\'e transcendents
Authors: Robert Conte (CEA, Saclay), Micheline Musette (VUB, Brussels)
Comments: LaTex 2e. To appear, J. Nonlinear Math. Phys
Subj-class: Exactly Solvable and Integrable Systems
hep-th/0110126
Title: New relations in the algebra of the Baxter Q-operators
Authors: A. A. Belavin, A. V. Odesskii, R. A. Usmanov
Comments: 35 pages, LaTeX
Subj-class: High Energy Physics - Theory; Quantum Algebra; Exactly Solvable
and Integrable Systems
math-ph/0110011
Title: The XXZ spin chain at $\Delta=- {1/2}$: Bethe roots, symmetric
functions and determinants
Authors: Jan de Gier, Murray Batchelor, Bernard Nienhuis, Saibal Mitra
Comments: 11 pages, revtex
Subj-class: Mathematical Physics; Combinatorics; Statistical Mechanics;
Exactly Solvable and Integrable Systems
MSC-class: 82B23; 05A15
math.QA/0109140
Title: Difference L operators related to q-characters
Authors: A.Kuniba, M.Okado, J.Suzuki, Y.Yamada
Comments: 25 pages, LaTeX2e, no figure
Subj-class: Quantum Algebra; Representation Theory; Exactly Solvable and
Integrable Systems
MSC-class: 81R50(Primary),82B23(Secondary)
Topic #21 -------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied. The Group
also includes engineers and scientists, students as well as experts. We have
around 140 members scattered about in more than 20 countries. Whatever your
specialty might be, we welcome your participation in this classical, and yet
modern, topic. Our WWW home page is:
http://math.nist.gov/opsf/
This is a convenient point of entry to all the services provided by the
Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).
The Activity Group sponsors OP-SF NET, which is transmitted periodically by
SIAM. It is provided as a free public service; membership in SIAM is not
required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca).
To receive the OP-SF NET, send your name and email address to
poly-request@siam.org.
Back issues can be obtained at the WWW addresses:
http://turing.wins.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
The NET provides fast turnaround compared to the printed Newsletter, also
sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and
Rafael Yanez. It appears three times a year and is mailed by SIAM. Back
issues are accessible at:
http://www.mathematik.uni-kassel.de/~koepf/siam.html
To receive the Newsletter, you must be a member of SIAM and of the Activity
Group. SIAM has several categories of membership, including low-cost
categories for students and residents of developing countries. For current
information on SIAM and Activity Group membership, contact:
Society for Industrial and Applied Mathematics
3600 University City Science Center
Philadelphia, PA 19104-2688 USA
phone: +1-215-382-9800
email: service@siam.org
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http://www.siam.org/membership/outreachmem.htm
Finally, the Activity Group operates an email discussion group, called OP-SF
Talk. To subscribe, send the email message
subscribe opsftalk Your Name
to listproc@nist.gov. To contribute an item to the discussion, send email
to opsftalk@nist.gov. The archive of all messages is accessible at:
http://math.nist.gov/opsftalk/archive
Topic #22 ------------- OP-SF NET 8.6 ------------- November 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org with a
copy to the OP-SF Editor . Please note that submissions
to the Net are automatically considered for the Newsletter, and vice versa,
unless the contributor requests otherwise.
Contributions to OP-SF NET 9.1 should be sent by January 1, 2002.
Please send your (printed) Newsletter contributions directly to the Editors:
Renato Alvarez-Nodarse
Departamento de Analisis Matematico
Universidad de Sevilla
Apdo. Postal 1160,
Sevilla E-41080 Spain
fax: +34-95-455-7972
e-mail: ran@us.es
Rafael J. Yanez
Departamento de Matematica Aplicada
Universidad de Granada
E-18071 Granada, Spain
phone: +34-58-242941
fax: +34-58-242862
e-mail: ryanez@ugr.es
preferably by email, and in latex format. Other formats are also acceptable
and can be submitted by email, regular mail or fax.
The deadline for submissions to be included in the February 2002 issue is
January 15, 2002, and for the June 2002 issue is May 15, 2002.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
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Send submissions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/
WWW home page of this Activity Group:
http://math.nist.gov/opsf/
Information on joining SIAM
and this activity group: service@siam.org
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The elected Officers of the Activity Group (1999-2001) are:
Daniel W. Lozier, Chair
Walter Van Assche, Vice Chair
Charles F. Dunkl, Secretary
Francisco Marcellan, Program Director
The appointed officers are:
Renato Alvarez-Nodarse and Rafael J. Yanez,
Newsletter Editors
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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