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January 15, 2002
O P - S F N E T Volume 9, Number 1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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. Delay in distributing OP-SF NET 8.6
2. Reorganizing OP-SF NET, etc.
3. Election Results
4. 9th International Krawtchouk Conference
5. van Moerbeke to give LMS lectures
6. Laredo Summer School on Approximation Methods in Systems Theory
7. Patras Conference on Differential and Difference Equations
8. History of Approximation Theory Homepage
9. Ramanujan: Essays and Surveys
10. q-Series Conference Proceedings
11. Wolfram's "Mathematical Functions"
12. Preprints in xxx Archive
13. About the Activity Group
14. 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 4-6: Varanasi Conference on Special Functions 8.6 #2
May 11-18: Conference on Operator Theory in Bedlewo, Poland 8.6 #3
May 16-18: 9th International Krawtchouk Conference
Kyiv (Kiev), Ukraine 9.1 #4
June 27 - July 2: van Moerbeke on Random Matrices, etc.,
Leeds, UK 9.1 #5
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, 9.1 #7
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
September 2-6: Summer School on Approximation Methods in Systems
Theory, Laredo, Spain. 9.1 #6
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 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Delay in distributing OP-SF NET 8.6
I sent the most recent issue of OP-SF NET to SIAM on November 16, 2001. It
is normally distributed to the membership within a couple of days, after
SIAM staff have checked it over. In the case of the November issue, they
wanted to look further at the background of the announcement of the decision
of the Activity Group not to mount a minisymposium at SIAM 50 (see Topic #1
in OP-SF NET 8.6). This led to a delay of several weeks, for which I
received an apology from SIAM Director Jim Crowley.
Topic #2 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Dan Lozier
Subject: Reorganizing OP-SF NET, etc.
Your activity group officers are considering a way of improving
communications among the membership.
Our main forms of communication are OP-SF NET, OP-SF WEB and the printed
newsletter. Until now each has been the responsibility of one or two
individuals who are appointed by the officers to serve as editors and
Webmaster.
Because each type of communication provides much the same information, just
in different formats, the appointed individuals have worked closely with
each other. Our idea is to formalize this spirit of cooperation by
abandoning the individual appointments and establishing instead a
Communications Committee.
The committee will gather and disseminate useful information just as
before. It could consist of any reasonable number of people. Some might
be responsible for specific tasks, such as preparing the meetings calendar,
arranging for book reviews, or managing the problems section. Others may
act as advisers, and still others might be involved primarily in production
aspects.
Details are still being worked out and I will give a progress report in the
next OP-SF NET. If you have comments or suggestions, or if you are
interested in serving in some capacity, please let me know.
Dan Lozier
Topic #3 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Election Results
Recently SIAM announced the results of the election for the new officers of
our activity group for the three-year term ending December 31, 2004. The
results are as follows:
Chair Dan Lozier
Vice Chair Walter Van Assche
Program Director Paco Marcellan
Secretary Peter Clarkson
Welcome back to Dan, Walter and Paco, and to Peter, "Welcome aboard." The
activity group is in good hands for the next three years. Many thanks to
Charles Dunkl for his activities as an officer since the activity group's
creation, first as Chair, later as Secretary. In fact, Charles Dunkl is the
founding father of our SIAG and we owe a lot to him.
Topic #4 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Vadim Zelenkov
Subject: 9th International Krawtchouk Conference
The 9th International Scientific Krawtchouk (Kravchuk) Conference will take
place on May 16-18, 2002 in National Technical University of Ukraine (KPI,
Kiev)
Sections
Differential and Integral Equations, their Application
Algebra, Geometry. Mathematical and Numerical Analysis
Probability Theory and Mathematical Statistics
History and Technique of Mathematical Teaching
Abstract (1 page) to be submitted by March 1, 2002 to:
Prof. Nina Virchenko,
M. Kravchuk Conference
Phys.-Math. Faculty,
National Technical University of Ukraine (KPI)
# 37, Peremogy Prospect, corpus # 7, room # 437
Kyiv 03056, Ukraine
Phone: +380 44 4411441
Email: kr_conference@yahoo.com
See details at Krawtchouk Polynomials Home Page:
http://zelenkov.isir.minsk.by/orthpol/ or http://www.geocities.com/orthpol/
Topic #5 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Vadim Kuznetsov
Subject: van Moerbeke to give LMS lectures
LONDON MATHEMATICAL SOCIETY INVITED LECTURE SERIES
Random matrices, random permutations and integrable lattices
Pierre van Moerbeke
School of Mathematics, Department of Applied Mathematics
University of Leeds, Leeds, UK
June 27 - July 2, 2002
The web-page of the 2002 LMS Invited course by Professor Pierre van
Moerbeke, to be held in Leeds in next summer, is now created. Please, look
at the address:
http://maths.leeds.ac.uk/~vadim/LMS_course.htm
Please register and/or circulate this information among those
interested.
Topic #6 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Paco Marcellan
Subject: Laredo Summer School on Approximation Methods in Systems Theory
Summer School on Approximation Methods in Systems Theory.
Laredo, Spain. September 2-6, 2002.
Organizers: Guillermo López Lagomasino (lago@math.uc3m.es) and Francisco
Marcellán (pacomarc@ing.uc3m.es). Departamento de Matemáticas. Universidad
Carlos III de Madrid
An international Summer School on Approximation Methods in Systems Theory
will be held in Laredo, Spain in the framework of The Summer Courses of
Universidad de Cantabria. This is a joint activity with Universidad Carlos
III de Madrid in order to attract postgraduate students as well as
researchers interested in Approximation Theory and the applications in
Systems Theory.
The lecturers will be:
Laurent Baratchart
INRIA, Sophia-Antipolis. France
Extremal Problems for Analytic Functions and System Identification.
Adhemar Bultheel
Department of Computer Science, Katholieke Universiteit Leuven. Belgium.
Orthogonal bases for numerically Robust System Identification.
Diederich Hinrichsen
Fachbereich 3, (Mathematik), Universität Bremen. Germany.
Spectral Analysis of uncertain systems.
Guillermo López Lagomasino
Departamento de Matemáticas, Universidad Carlos III de Madrid. Spain.
Approximation of Transfer Functions for Control Systems of finite
dimension.
Francisco Marcellán
Departamento de Matemáticas, Universidad Carlos III de Madrid. Spain.
Orthogonal Functions in Systems and Control.
Postgraduate students can apply for grants. For more information, please
contact the organizers before April 1st, 2002.
Topic #7 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Patras Conference on Differential and Difference Equations
International Conference on Differential, Difference Equations and Their
Applications: Dedicated to E. K. Ifantis,
Patras. Greece, July 1-5. 2002.
This information is taken from the web site;
http://thalis.math.upatras.gr/~panos/EnglVersion/Webpage/icddea.html
More information, including registration form, is available there.
SECOND ANNOUNCEMENT
According to the overwhelming response to the first circular, we expect
about 120 scientists from all over the world. If you would like to give a
talk, please indicate its title on the registration form (which should be
sent before March 31, 2002 to the Conference Mailing Address). We shall do
our best to set up a balanced programme. We look forward to seeing you in
Patras in July.
The main subjects of ICDDEA will include:
Ordinary Differential Equations.
Partial Differential Equations.
Ordinary Difference Equations.
Partial Difference Equations.
Applications.
Scope, topics and program
The International Conference on Differential, Difference Equations and
their Applications intend to cover the field of differential equations,
difference equations and their applications in the scientific areas of
mathematics, physics and other sciences. This Conference is a forum for
presentation and discussion of all aspects of differential and difference
equations, ranging from the fundamental to the applied.
The aim of the Conference is to provide a common meeting ground for
specialists in differential equations, difference equations and related
topics, as well as in the rich variety of scientific applications of these
subjects.
The scientific program will include plenary lectures of 1 hour (50
minutes for presentation and 10 minutes for discussion), invited lectures
of 30 minutes (25 minutes for presentation and 5 minutes for discussion)
and research seminars of 20 minutes (15 minutes for presentation and 5
minutes for discussion). An approximate time table will be given in the
third announcement, which will be sent only to those who register for the
Conference. The final program will be given on the registration desk on
Sunday, June 31 or Monday 1 July.
Local Organizing Committee
Chrysi. G. Kokologiannaki (Department of Mathematics, University of Patras)
(chrykok@math.upatras.gr)
Eugenia N. Petropoulou (Department of Mathematics, University of Patras)
(jenny@math.upatras.gr)
Panayiotis D. Siafarikas (Department of Mathematics, University of Patras)
(panos@math.upatras.gr)
Scientific Committee
Ondrej Dosly (Czech Republic)
Takasi Kusano (Japan)
Andrea Laforgia (Italy)
Martin Muldoon Canada)
Panayiotis Siafarikas (Greece)
PLENARY LECTURES
· R. P. Agarwal (Singapore), Recent trends in discrete boundary value
problems.
· A. Fokas ( U. K. ), Differential forms, spectral theory and boundary
value problems.
· A. Kartsatos ( U.S.A. ), Some recent developments in topological degree
theory in Banach spaces and its applications to partial differential
equations.
· I. Kiguradze (Georgia), On periodic solutions of two-dimensional
nonautonomous differential systems.
· G. Ladas ( U.S.A. ), Open problems and conjectures in difference
equations.
INVITED LECTURES
· N. Alikakos (Greece), to be announced later.
· I. Antoniou (Greece), Statistical Analysis of Evolution Equations.
· N. Artemiadis (Greece), The mathematician’s share in the general
human condition.
· G. Barbatis (Greece), Heat kernel estimates for singular elliptic
operators.
· A. Charalambopoulos (Greece), Scattering of elastic waves from
infinite surfaces.
· G. Dassios (Greece), Anisotropic effects for the inverse
magnetoenchephalography problem.
· D. Dimitrov (Brasil), Electrostatics, Lame differential equation
and zeros of orthogonal polynomials.
· Z. Dosla (Czech Republic), Some aspects of nonlinear second order
differential and difference equations
· O. Dosly (Czech Republic), Symplectic and Hamiltonian systems:
Transformations and oscillation theory.
· W. Eberhard (Germany), to be announced later.
· S. Filippas (Greece), to be announced later.
· A. Georgescu (Romania), Dynamics and bifurcation in biological and
economical dynamics.
· A. Grispolakis (Greece), to be announced later.
· M. Grillakis (U.S.A.), to be announced later.
· I. Gyori (Hungary), to be announced later.
· A. Himonas (U.S.A.), Analyticity of the Cauchy problem for an
integrable evolution equation.
· S. Kamvisis (Greece), to be announced later.
· K. Karanikas (Greece), A variety orthogonal sequence based on
wavelet sampling theory for applications on differential
equations.
· K. Kiriaki (Greece), The linear sampling method in linear
elasticity.
· D. Kravaritis (Greece), to be announced later.
· T. Kusano (Japan), Nonoscillatory half-linear differential
equations and regular variation.
· L. Littlejohn (U.S.A.), to be announced later.
· A. Lomtatidze (Czech Republic), On bounded solutions of functional
differential equations.
· S. K. Ntouyas (Greece), Neutral functional differential inclusions.
· G. Papaschinopoulos (Greece), On a fuzzy difference equation.
· C. Philos (Greece), to be announced later.
· D. O’ Regan (Ireland), to be announced later.
· P. E. Ricci (Italy), Generalizations of the Bernoulli and Appell
polynomials.
· M. Sambandham (U.S.A.), Stability properties of hybrid fuzzy
differential equation.
· I. Schinas (Greece), to be announced later.
· A. Schneider (Germany), to be announced later.
· N. Stavrakakis (Greece), to be announced later.
· I. Stavroulakis (Greece), Oscillations of functional differential
equations.
· I. Stratis (Greece), Propagation of electromagnetic waves in
complex media: a time-domain analysis.
· A. Tertikas (Greece), to be announced later.
· A. Tzavaras (U.S.A.), Diffusive effects in the long time evolution
of nonlinear convection equations.
· E. van Doorn (Netherlands), On orthogonal polynomials and infinite
systems of differential equations arising in
Markov-process analysis.
· J. Vosmansky (Czech Republic), to be announced later.
Abstracts
All participants who wish to present a talk, are kindly requested to
send a title and an abstract written in English before April 30, 2002. The
abstract should not exceed one page but should have a minimum of 10 lines
with the description of the topic covered in a comprehensive manner. Since
the abstracts will be reproduced directly in the book of abstracts, their
typographical quality should be as good as possible.
The plenary and invited speakers are also requested to send a one page
abstract of their presentation.
Publications
The proceedings of the Conference will be published as a special issue of
the journal ABSTRACT AND APPLIED ANALYSIS.
IMPORTANT: Submitted papers must be received before 15 September, 2002.
Registration fees
· Participants: 240 Euro.
· Students (under formal verification): 120 Euro.
· Accompanying person: 90 Euro.
After March 31, 2002, all participants and their companions must pay an
additional fee of 30 Euro for late registration.
Participant's and student's fee include:
· Admission to the Conference.
· Conference documents.
· Book of Abstracts.
· Conference Proceedings.
· Welcome dinner.
· Official reception.
· Guided visit to ancient Delphi.
· Lunches from 1 July to 5 July.
· Transportation from the hotels to the Conference Site and vice versa.
· Transportation from the hotels to the sites of the social events.
Payment of the registration fee should be made in Euro by bank-to-bank
transfer to bank account no.131 01 009179 92 of Agricultural Bank of
Greece, Patras branch The total sum should be NETTO, i.e. all bank expenses
must be covered by the payer and should not be deducted from the amount
paid. A copy of the corresponding bank receipt should be sent together with
the Registration Form (by fax or ordinary mail). In each payment the
name(s) of the participant(s) must be stated.
Cancellations should be made to the local organising committee in writing.
The following rules will apply:
· cancellation received before April 30, 2002: 80% refund
· cancellation received before May 30, 2002: 50% refund
· cancellation received after May 30, 2002: no refund.
Accommodation
All participants will be lodged in rooms at some of the hotels of Patras,
which are near the Conference Site or in the centre of Patras. Special
rates have been arranged, starting at about 40 Euro per day for a single
room with breakfast. See the web site for more information.
Conference Site
The conference will be held at the Conference and Cultural Hall of
the University of Patras, located at the University Campus (this campus is
well connected to the city centre of Patras by buses. The city centre is
only 7 km from the Conference Site ). The city itself and its surroundings
are special attractions. Beaches are beside the hotels which are located 3
km from the Conference Site.
Patras may be reached easily by car, bus (3 hours) (there exist a
National Road from Athens that connects Athens with Patras ), train (it
lies along the National Road from Athens to Patras) (3,5 hours) and ship
(especially for people coming from Italy).
Conference Mailing Address
INTERNATIONAL CONFERENCE ON DIFFERENTIAL, DIFFERENCE EQUATIONS AND THEIR
APPLICATIONS
Department of Mathematics (to Prof. P. D. Siafarikas)
University of Patras
26500 Patras
Greece
Tel. - Fax: +(3) 061 997169
E-Mail: icddea@math.upatras.gr
http://thalis.math.upatras.gr/~panos/EnglVersion/Webpage/icddea.html
Topic #8 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Allan Pinkus
Subject: History of Approximation Theory Homepage
[This item, which appeared in AT-NET BULLETIN NO. 108, is included at the
suggestion of Tom Koornwinder. For AT-NET Bulletin, see the WWW home-page:
http://www.uni-giessen.de/www-Numerische-Mathematik/at-net]
History of Approximation Theory Homepage
----------------------------------------
We wish to announce the beginnings of a homepage devoted to the History of
Approximation Theory (HAT). It is to be found at:
http://www.math.technion.ac.il/hat/
or at its mirror site:
http://www.cs.wisc.edu/~deboor/HAT/
We welcome any and all suggestions, comments, help, support and criticism.
Allan Pinkus
Carl de Boor
Topic #9 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Ramanujan: Essays and Surveys
[From: http://www.ams.org/bookstore]
Ramanujan: Essays and Surveys
Edited by: Bruce C. Berndt, University of Illinois, Urbana-Champaign, IL, and
Robert A. Rankin, University of Glasgow, Scotland
Description
This book contains essays on Ramanujan and his work that were written
especially for this volume. It also includes important survey articles in
areas influenced by Ramanujan's mathematics. Most of the articles in the
book are nontechnical, but even those that are more technical contain
substantial sections that will engage the general reader.
The book opens with the only four existing photographs of Ramanujan,
presenting historical accounts of them and information about other people
in the photos. This section includes an account of a cryptic family history
written by his younger brother, S. Lakshmi Narasimhan. Following are
articles on Ramanujan's illness by R. A. Rankin, the British physician D.
A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of
his symptoms, a convincing diagnosis of the cause of his death, and a
thorough exposition of Ramanujan's life as a patient in English sanitariums
and nursing homes.
Following this are biographies of S. Janaki (Mrs. Ramanujan) and S.
Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first
communicated Ramanujan's work to the Journal of the Indian Mathematical
Society. The last half of the book begins with a section on "Ramanujan's
Manuscripts and Notebooks". Included is an important article by G. E.
Andrews on Ramanujan's lost notebook.
The final two sections feature both nontechnical articles, such as Jonathan
and Peter Borwein's "Ramanujan and pi", and more technical articles by
Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson.
This volume complements the book Ramanujan: Letters and Commentary, Volume
9, in the AMS series, History of Mathematics. For more on Ramanujan, see
these AMS publications, Ramanujan: Twelve Lectures on Subjects Suggested by
His Life and Work, Volume 136.H, and Collected Papers of Srinivasa
Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series.
Copublished with the London Mathematical Society. Members of the LMS may
order directly from the AMS at the AMS member price. The LMS is registered
with the Charity Commissioners.
Contents
R. A. Rankin -- Commentary (by R. A. R.)
The life of Ramanujan
The four photographs of Ramanujan
The books studied by Ramanujan in India
The influence of Carr's synopsis on Ramanujan
The notebooks of Srinivasa Ramanujan
A recently discovered letter giving Ramanujan's examination scores
On Ramanujan
The Ramanujan family record
Ramanujan's illness
Ramanujan as a patient
Ramanujan's illness
An incident in the life of S. Ramanujan, F.R.S.: Conversations with G. H.
Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel
S. Janaki
S. Janaki Ammal (Mrs. Ramanujan)
Conversation "I didn't understand his work, but I knew his worth"
S. Narayana Iyer
A short biography of S. Narayana Iyer
The distribution of primes
Some theorems in summation
E. H. Neville
Srinivasa Ramanujan
University lectures in Madras
Ramanujan's manuscripts and notebooks
Ramanujan's manuscripts and notebooks
Ramanujan's manuscripts and notebooks, II
An overview of Ramanujan's notebooks
An introduction to Ramanujan's "lost" notebook
Nontechnical articles on Ramanujan's work
Ramanujan and pi
pi related developments since 1988
Reflections around the Ramanujan centenary
The problems submitted by Ramanujan to the Journal of the Indian
Mathematical Society
Somewhat more technical articles on Ramanujan's work
A walk through Ramanujan's garden
Ramanujan and hypergeometric and basic hypergeometric series
The final problem: An account of the mock theta functions
Details:
Publisher: American Mathematical Society, London Mathematical Society
Distributor: American Mathematical Society
Series: History of Mathematics, ISSN: 0899-2428
Volume: 22
Publication Year: 2001
ISBN: 0-8218-2624-7
Paging: 347 pp.
Binding: Hardcover
List Price: $79
Institutional Member Price: $63
Individual Member Price: $63
Order Code: HMATH/22
Topic #10 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: q-Series Conference Proceedings
[From: http://www.ams.org/bookstore]
q-Series with Applications to Combinatorics, Number Theory, and Physics
Edited by: Bruce C. Berndt, University of Illinois, Urbana, IL, and Ken
Ono, University of Wisconsin, Madison, WI
Description
The subject of q-series can be said to begin with Euler and his pentagonal
number theorem. In fact, q-series are sometimes called Eulerian series.
Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt
at a systematic development, especially from the point of view of studying
series with the products in the summands, was made by E. Heine in 1847. In
the latter part of the nineteenth and in the early part of the twentieth
centuries, two English mathematicians, L. J. Rogers and F. H. Jackson, made
fundamental contributions.
In 1940, G. H. Hardy described what we now call Ramanujan's famous _1\psi_1
summation theorem as "a remarkable formula with many parameters." This is
now one of the fundamental theorems of the subject.
Despite humble beginnings, the subject of q-series has flourished in the
past three decades, particularly with its applications to combinatorics,
number theory, and physics. During the year 2000, the University of
Illinois embraced The Millennial Year in Number Theory. One of the events
that year was the conference q-Series with Applications to Combinatorics,
Number Theory, and Physics. This event gathered mathematicians from the
world over to lecture and discuss their research.
This volume presents nineteen of the papers presented at the conference.
The excellent lectures that are included chart pathways into the future and
survey the numerous applications of q-series to combinatorics, number
theory, and physics.
Contents (authors names are not given)
q-series
Congruences and conjectures for the partition function
MacMahon's partition analysis VII: Constrained compositions
Crystal bases and $q$-identities
The Bailey-Rogers-Ramanujan group
Multiple polylogarithms: A brief survey
Swinnerton-Dyer type congruences for certain Eisenstein series
More generating functions for $L$-function values
On sums of an even number of squares, and an even number of triangular
numbers: An elementary approach based on Ramanujan's $_1\psi_1$
summation formula
Some remarks on multiple Sears transformations
Another way to count colored Frobenius partitions
Proof of a summation formula for an $\tilde A_n$ basic hypergeometric
series conjectured by Warnaar
On the representation of integers as sums of squares
3-regular partitions and a modular K3 surface
A new look at Hecke's indefinite theta series
A proof of a multivariable elliptic summation formula conjectured
by Warnaar
Multilateral transformations of $q$-series with quotients of parameters
that are nonnegative integral powers of $q$
Completeness of basic trigonometric system in $\mathcal{L}^{p}$
The generalized Borwein conjecture. I. The Burge transform
Mock $\vartheta$-functions and real analytic modular forms
Details:
Publisher: American Mathematical Society
Distributor: American Mathematical Society
Series: Contemporary Mathematics, ISSN: 0271-4132
Volume: 291
Publication Year: 2001
ISBN: 0-8218-2746-4
Paging: 277 pp.
Binding: Softcover
List Price: $69
Institutional Member Price: $55
Individual Member Price: $41
Order Code: CONM/291
Topic #11 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
From: Oleg Marichev
Subject: Wolfram's "Mathematical Functions"
Dear Colleagues,
Let me invite you to visit the new version of our site with 37000 formulas:
http://functions.wolfram.com
See also the modified
http://mathworld.wolfram.com
(which has returned).
Oleg Marichev
Topic #12 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
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.NT/0111012
Title: Spacing of zeros of Hecke L-functions and the class number problem
Authors: J. Brian Conrey, Henryk Iwaniec
Comments: 61 pages
Subj-class: Number Theory
math.NT/0111013
Title: Real zeros of quadratic Dirichlet L-functions
Authors: J. Brian Conrey, Kannan Soundararajan
Comments: 38 pages
Subj-class: Number Theory
math.QA/0111022
Title: Some remarks on q-deformed multiple polylogarithms
Authors: Karl-Georg Schlesinger
Comments: 11 pages
Subj-class: Quantum Algebra
MSC-class: 11G55; 17B37
math.CO/0111059
Title: Nouvelles statistiques de partitions pour les q-nombres de Stirling
de seconde espece
Authors: Zeng jiang et Ksavrelof gerald
Comments: 13 pages
Subj-class: Combinatorics
math.CA/0111252
Title: The Riemann-Hilbert approach to strong asymptotics for orthogonal
polynomials on [-1,1]
Authors: A.B.J. Kuijlaars, K.T-R McLaughlin, W. Van Assche, M. Vanlessen
Comments: 50 pages, 7 figures, 33 references
Subj-class: Classical Analysis; Complex Variables
MSC-class: 30E25; 35Q15; 42C05
math.CO/0111328
Title: Evaluations of some determinants of matrices related to the Pascal
triangle
Authors: Christian Krattenthaler (Universit„t Wien)
Comments: 19 pages, AmS-TeX
Subj-class: Combinatorics; Linear Algebra; Number Theory
MSC-class: 05A19 (Primary) 05A10 11C20 15A15 33C45 (Secondary)
hep-th/0111067
Title: Inverse Scattering, the Coupling Constant Spectrum, and the Riemann
Hypothesis
Authors: N. N. Khuri
Comments: 107 pages, 1 figure, Latex
Subj-class: High Energy Physics - Theory; Mathematical Physics; Analysis
of PDEs; Number Theory
math-ph/0111007
Title: Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and
representation theory
Authors: Alexei Borodin, Percy Deift
Comments: AMSTeX, 62 pages
Subj-class: Mathematical Physics; Classical Analysis; Representation
Theory
math-ph/0111008
Title: Discrete gap probabilities and discrete Painleve equations
Authors: Alexei Borodin
Comments: AMSTeX, 43 pages, 1 figure
Subj-class: Mathematical Physics; Classical Analysis; Combinatorics;
Representation Theory
math.QA/0112009
Title: Hypergeometric Solutions of the qKZ Equation at Level Zero
Authors: Vitaly Tarasov
Comments: 8 pages, latex 2.09, czjphys209.sty required
Subj-class: Quantum Algebra
Journal-ref: Czech. J. Phys. 50 (2000) no.1, 193--200
math.QA/0112035
Title: BC_n-symmetric polynomials
Authors: Eric M. Rains
Comments: 63 pages, LaTeX (AMS macros)
Subj-class: Quantum Algebra; Combinatorics
math.QA/0112127
Title: A differential ideal of symmetric polynomials spanned by Jack
polynomials at $\beta=-(r-1)/(k+1)$
Authors: B.Feigin, M.Jimbo, T.Miwa, E.Mukhin
Comments: Latex, 12 pages
Subj-class: Quantum Algebra; Combinatorics
math.NT/0112137
Title: Trigonometric Expansions of Theta Functions
Authors: A. Raouf Chouikha
Comments: 15 pages
Subj-class: Number Theory; Classical Analysis
MSC-class: Primary: 33E05; Secondary: 33E20, 34A20
math.DS/0112156
Title: An estimate of the number of zeros of abelian integrals for special
hamiltonians of arbitrary degree
Authors: A.A.Glutsyuk, Yu.S.Ilyashenko
Comments: 61 pages, figures will be added later
Subj-class: Dynamical Systems; Complex Variables
MSC-class: 34C, 37G
math.CA/0112179
Title: The Heun equation and the Calogero-Moser-Sutherland system II: the
perturbation and the algebraic solution
Authors: Kouichi Takemura
Comments: 46 pages
Subj-class: Classical Analysis; Spectral Theory; Mathematical Physics;
Exactly Solvable and Integrable Systems
MSC-class: 33E15; 81Q10
math.CO/0112194
Title: Free martingale polynomials
Authors: Michael Anshelevich
Comments: AMS-LaTeX with Times fonts; 25 pages
Subj-class: Combinatorics; Classical Analysis; Operator Algebras;
Probability Theory
MSC-class: 46L54; 05A40
math.NT/0112196
Title: The Highest-Lowest Zero and other Applications of Positivity
Authors: Stephen D. Miller
Comments: 25 pages, 15 figures. To appear in the Duke Math. Journal.
Subj-class: Number Theory; Representation Theory
cond-mat/0112386
Title: q-Random Matrix Ensembles
Authors: K.A. Muttalib, Y. Chen, M.E.H. Ismail
Comments: 23 pages, review article
Subj-class: Disordered Systems and Neural Networks; Statistical Mechanics;
Mathematical Physics
Journal-ref: Symbolic Computation, Number Theory, Special Functions, Physics
and Combinatorics; Developments in Mathematics, vol 4, Eds. F.G.
Garvan and M.E.H. Ismail (Kluwer, 2001)
math-ph/0112005
Title: Scattering phase shift for relativistic exponential-type separable
potentials
Authors: A. D. Alhaidari
Comments: Accepted for publication in J. Phys. A, to appear in January 2002.
Replaced with a more portable PDF version
Subj-class: Mathematical Physics
Journal-ref: J. Phys. A 34, 11273 (2001)
math-ph/0112008
Title: Sum Rules for Jacobi Matrices and Their Applications to Spectral
Theory
Authors: Rowan Killip, Barry Simon
Subj-class: Mathematical Physics; Classical Analysis
MSC-class: 34L05, 42C05, 47B36, 81Q10
math-ph/0112012
Title: Integrals of monomials over the orthogonal group
Authors: Thomas Gorin
Comments: 9 pages, no figures
Subj-class: Mathematical Physics
math-ph/0112014
Title: Some Diophantine relations involving circular functions of rational
angles
Authors: F.Calogero, A.M.Perelomov
Comments: 4 pages, an old paper (1979) posted for archival purposes
Subj-class: Mathematical Physics
Journal-ref: Linear Algebra and Applications 25, 91-94 (1979)
math-ph/0112020
Title: A fractional generalization of the Riccati equation
Authors: A.L. Madueño, H. Rosu, J. Socorro
Comments: 7 pages, revtex, minor changes, two references added
Subj-class: Mathematical Physics
math-ph/0112021
Title: A remark on the matrix Airy function
Authors: A.M.Perelomov
Comments: 4 pages
Subj-class: Mathematical Physics
Journal-ref: Theoretical and Mathematical Physics, 123, 671-672 (2000)
math-ph/0112027
Title: Lieb-Thirring Inequalities for Jacobi Matrices
Authors: Dirk Hundertmark, Barry Simon
Comments: 21 pages, LaTeX2e
Subj-class: Mathematical Physics
math-ph/0112028
Title: Subalgebras of $\gc_N$ and Jacobi polynomials
Authors: Alberto De Sole, Victor G. Kac
Comments: 35 pages, LaTex
Subj-class: Mathematical Physics
math-ph/0112030
Title: Trigonometry of 'complex Hermitian' type homogeneous symmetric spaces
Authors: Ramon Ortega, Mariano Santander
Comments: 46 pages, LaTeX
Subj-class: Mathematical Physics
math-ph/0112050
Title: Heat kernel-zeta function relationship coming from the classical
moment problem
Authors: M. Tierz, E.Elizalde
Comments: 17 pages
Subj-class: Mathematical Physics; Chaotic Dynamics
nlin.SI/0112043
Title: Generating Function Associated with the Rational Solutions of the
Painlev\'e II Equation
Authors: Katsunori Iwasaki, Kenji Kajiwara, Toshiya Nakamura (Graduate
School of Mathematics, Kyushu University)
Comments: 7 pages
Subj-class: Exactly Solvable and Integrable Systems
nlin.SI/0112045
Title: q-Painlev\'e systems arising from q-KP hierarchy
Authors: Kenji Kajiwara (1), Masatoshi Noumi (2), Yasuhiko Yamada (2) ((1)
Graduate School of Mathematics, Kyushu University, (2) Department of
Mathematics, Kobe University)
Comments: 10 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #13 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
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.
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Topic #14 ------------- OP-SF NET 9.1 ------------- January 15, 2002
~~~~~~~~~~~~~
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
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Contributions to OP-SF NET 9.2 should be sent by March 1, 2002.
Please send your (printed) Newsletter contributions directly to the Editors:
Renato Alvarez-Nodarse
Departamento de Analisis Matematico
Universidad de Sevilla
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fax: +34-58-242862
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preferably by email, and in latex format. Other formats are also acceptable
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The deadline for submissions to be included in the February 2002 issue is
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OP-SF NET is a forum of the SIAM Activity Group on
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We disseminate your contributions on anything of interest to the
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The elected Officers of the Activity Group (2002-2004) are:
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Martin Muldoon, OP-SF NET editor
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