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November 15, 2003
O P - S F N E T Volume 10, 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. Special Day to Honour George Andrews
2. 2003 Twente Conference on Lie Theory
3. OPSFA 8 / ICDEA 10 (Munich 2005)
4. Meetings in Madrid in 2004
5. Report on AMADE-2003
6. Postdoctoral Fellowship Opportunity at NIST
7. Call for Nominations - The Theodore von Karman Prize
8. Call for Nominations - W. T. and Idalia Reid Prize
9. Book by Renato Alvarez Nodarse
10. Updates to Suslov's book on Basic Fourier Series
11. Preprints in xxx Archive
12. About the Activity Group
13. Submitting contributions to OP-SF NET
Calendar of Events:
2003
December 15-17: Twente Conference on Lie Theory,
Enschede, the Netherlands 10.6 #2
http://wwwhome.math.utwente.nl/~lie/
2004
January 7-10: Joint Mathematics Meetings, Phoenix, Arizona, USA
(including Special Sessions on
"Classical and Nonlinear Special Functions" (Jan 9-10) on
"Theory and Applications of Orthogonal Polynomials" (Jan 7-8)
and on "Continued Fractions" (Jan 9)
10.3 #3
http://www.ams.org/amsmtgs/2078_intro.html
February 15-20: International Meeting on Constructive
Approximation, Witten-Bommerholz, Germany 10.5 #2
http://www.sbg.ac.at/mat/events/idomat2004/idomat01.htm
April 1: Special Day to Honour George Andrews, Pennsylvania State
University 10.6 #1
http://www.math.psu.edu/sellersj/ganas/
July 5-July 8 Sixth International Workshop on Orthogonal Polynomials
(IWOP): Orthogonal Polynomials in Mathematical Physics.
Universidad Carlos III de Madrid, Leganes, Spain 10.6 #4
July 8 - July 18: Fifth Summer School on Orthogonal Polynomials and
Special Functions, Universidad Carlos III de Madrid, Leganes, Spain
10.6 #4
July 12-16: SIAM Annual Meeting, Portland, Oregon, USA
http://www.siam.org/meetings/an04/
November 7-9: CONSTRUCTIVE FUNCTIONS TECH-O4, Atlanta, Georgia, USA
10.5 #3
www.math.gatech.edu/news/conferences/at04/
2005
July 25-29: OPSFA8/ICDEA10 - Eighth International Symposium on
Orthogonal Polynomials, Special Functions and Applications
and Tenth International Conference on Difference Equations and
Applications, Munich, Germany 10.6 #3
Future Plans:
Dan Lozier (OP-SF NET 9.4, Topic #2) suggests a SIAM-sponsored meeting in
Orthogonal Polynomials and Special Functions to be held in Washington, DC.
Present planning suggests a date in the fall of 2005 or in 2006.
Topic #1 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Special Day to Honour George Andrews
Special day at Penn State celebrating George Andrews' Election to the
National Academy of Sciences (and his 65th Birthday),
When: Thursday, April 1, 2004
Where: Penn State University's Hetzel Union Building (HUB) Heritage Hall
webpage: http://www.math.psu.edu/sellersj/ganas/
Topic #2 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Erik Koelink
Subject: 2003 Twente Conference on Lie Theory
2003 Twente Conference on Lie Theory, December 15-17, 2003,
takes place at the Unversiteit Twente, Enschede, the Netherlands
The list of invited speakers consists of
Vyjayanthi Chari, University of California at Riverside, USA
Richard Cushman, Universiteit Utrecht, the Netherlands.
Wolter Groenevelt, Technische Universiteit Delft, the Netherlands.
Arno Kuijlaars, Katholieke Universiteit Leuven, Belgium.
Dmitry Lebedev, Institute of Theoretical and Experimental Physics, Russia
Bernard Leclerc, Université Caen, France
Gail Letzter, Virginia Polytechnic Institute and State University, USA.
Martin Olbrich, Universität Göttingen, Germany.
Philippe Roche, Université Montpellier II, France.
Margit Rösler, Universität Göttingen, Germany.
Raphaël Rouquier , Université de Paris VII (Denis Diderot), France.
Tonny Springer, Universiteit Utrecht, the Netherlands.
Pierre Van Moerbeke, Université Catholique de Louvain, Belgium.
The website for this meeting can be found at
http://wwwhome.math.utwente.nl/~lie/
The scientific committee is
E. van den Ban (Utrecht),
G. van Dijk (Leiden),
G. Heckman (Nijmegen),
G. Helminck (Twente),
E. Koelink (Delft),
T. Koornwinder (Amsterdam),
J. van de Leur (Utrecht),
E. Opdam (Amsterdam),
J. Stokman (Amsterdam),
E. Thomas (Groningen).
The organising committee consists of
Gerard Helminck (Twente) email: helminckgf@cs.utwente.nl
Erik Koelink (Delft) email: h.t.koelink@ewi.tudelft.nl
Johan van de Leur (Utrecht) email: vdleur@math.uu.nl
Jasper Stokman (Amsterdam) email: jstokman@science.uva.nl
(or the general email address lie@cs.utwente.nl)
Topic #3 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Andreas Ruffing
Subject: OPSFA 8 / ICDEA 10
The Eighth International Symposium on Orthogonal Polynomials,
Special Functions and Applications will be held
in Munich/Germany from 25th July 2005 to 29th July 2005
as a joint event with
The Tenth International Conference on Difference Equations and
Applications
The Organizing Committee for this joint meeting consists of
Bernd Aulbach, Rupert Lasser and Andreas Ruffing.
The Scientific Committee will be constituted during the coming weeks.
Andreas Ruffing
For the Organizing Committee to OPSFA 8 / ICDEA 10
Topic #4 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Francisco Marcellan
Subject: Meetings in Madrid in 2004
There will be a Workshop (July 5-8) and Summer School (July 8-18) In
Madrid in 2004. Here are some details.
Sixth International Workshop on Orthogonal Polynomials (IWOP):
Orthogonal Polynomials in Mathematical Physics.
Universidad Carlos III de Madrid, Leganes, Spain
Dates: July 5-July 8, 2004
Invited Speakers
A. Fokas (Department of Applied Mathematics and Theoretical Physics,
University of Cambridge, UK)
A. Grunbaum (Department of Mathematics, University of California,
Berkeley, USA)
P. Clarkson (Institute of Mathematics, Statistics and Actuarial
Sciences, University of Kent, UK)
N. Atakishiev (UNAM, Cuernavaca, Mexico)
A. Zhedanov (Donetsk Institute for Physics and Technology, Donetsk,
Ukraine)
J.A. Tirao (Centro de Investigacion y Estudios de Cordoba, Universidad
Nacional de Cordoba, Argentina)
J. S. Dehesa (Departamento de Fisica Moderna, Universidad de Granada,
Spain).
Organizing Committee: F. Marcellan, R. Alvarez Nodarse and J. Arvesu
Scientific Committee: F. Marcellan, W. Van Assche, A. Duran, G. Lopez
Lagomasino
For more information please contact F. Marcellan: pacomarc@ing.uc3m.es and
the web page
http://merlin.us.es/~renato/iwop/
Fifth Summer School on Orthogonal Polynomials and Special Functions
Universidad Carlos III de Madrid, Leganes, Spain
Dates: July 8-July 18, 2004.
This scientific event continues the set of Summer Schools held in Laredo
(2000), Inzell (2001), Leuven (2002), Coimbra (2003) in the framework of
the activities organized by our SIAG and in the last two years with the
financial support of an Intensive Program of the European Union.
The aim is to present recent research trends in orthogonal polynomials
and special functions for postgraduate students and young researchers
interested in our domain. Lecture notes will be available for
participants.
Confirmed Speakers:
W. Gautschi (Department of Computer Science, Purdue University, USA)
P. Terwilliger (Department of Mathematics, University of Wisconsin-Madison)
P. Clarkson (Institute of Mathematics, Statistics and Actuarial
Sciences, University of Kent, UK)
Vadim Kuznetsov (Department of Mathematics, University of Leeds, UK)
A. Martinez (Departamento de Estadistica y Matematica Aplicada,
Universidad de Almeria, Spain)
A. Bultheel (Department of Computer Science, Katholieke Universiteit
Leuven, Belgium)
B. Beckermann (Departement d'Analyse Numerique, Universite de Lille 1,
France)
J.S. Geronimo (School of Mathematics, Georgia Institute of Technology, USA)
For more information please contact F. Marcellan (pacomarc@ing.uc3m) as
well as the web page of the IP
http://www.mat.uc.pt/~ajplb/opsf2.htm
Topic #5 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Report on AMADE-2003
The following information was received from the organizers of the 3rd
International Conference "Analytic Methods of Analysis and Differential
Equations" (AMADE-2003), Minsk, Belarus, September 4-9, 2003
The 3rd International Conference "Analytic Methods of Analysis
and Differential Equations" (AMADE-2003) took place on September 4-9,
2003 in Minsk, Belarus. It keeps the tradition of the International
Conferences "Boundary Value Problems, Special Functions and Fractional
Calculus", devoted to the 90th birthday of academician F.D.Gakhov
(Minsk, Belarus, February 15-20, 1996), "Analytic Methods of Analysis
and Differential Equations" (AMADE) (Minsk, Belarus, September 14-18,
1999), and (AMADE-2001) (Minsk, Belarus, February 15-19, 2001).
AMADE-2003 was organized by the Belarusian State University together
with the Institute of Mathematics of the Belarusian National Academy of
Sciences. It was held at the Olympic Sport Center "Staiki" which is
situated 10 km from Minsk, the capital of Belarus. The Conference was
organized under the guidance of the International Society for Analysis
its Applications and Computation (ISAAC) and was included in the
calendar of the events of the European Mathematical Society.
Information on the Conference was published in the Journal "Fractional
Calculus and Applied Analysis" and in the Notices of the American
Mathematical Society. The Web-site www.amade-bsu.com containing the
information on AMADE-2003 and its predecessors, was created.
More than 320 mathematicians from Europe, Africa, America and Asia
confirmed their interest in the Conference. 166 representatives of
Algeria, Belarus, Canada, Finland, France, Great Britain, Korea,
Lithuania, Malaysia, Mexico, Poland, Portugal, Russia, Turkey, Ukraine,
Uzbekistan, USA and Vietnam took part in AMADE-2003.
Four sections operated at the conference:
1. Integral Transforms and Special Functions.
2. Differential Equations and Applications.
3. Integral, Difference, Functional Equations and Fractional Calculus.
4. Real and Complex Analysis.
There were 23 plenary invited lectures and 116 sectional talks devoted
to different problems of modern analysis, differential equations and
their applications.
Plenary invited lectures were given by the following mathematicians:
ˇ Antonevich A. (Minsk, Belarus), Zajkowski K. (Bialystok, Poland) The
spectral of functional operators and the random walks
ˇ Barabanov A.E. (St.-Petersburg, Russia) H-infinity design for delayed
systems
ˇ Buraczewski A. (Olsztyn, Poland) On some problem in determinant theory
of Fredholm operators
ˇ Burenkov V.I. (Cardiff, UK) Spectral stability of the Neumann and
Robin Laplacians
ˇ Goryainov V.V. (Volzhsky, Russia) Functional equations and fractional
iteration of analytic functions
ˇ Gromak V.I. (Minsk, Belarus) On the higher order Painleve equations
ˇ Karapetyants N.K., Avsyankin O.G., Gil ?.V. (Rostov-on-Don, Russia)
Certain questions of the theory of integral operators with homogeneous
kernels
ˇ Kilbas A.A. (Minsk, Belarus) Integral and differential equations of
fractional order
ˇ Clarkson P.A. (Canterbury, U.K.) Rational solutions of the Painleve
equations and associated special polynomials
ˇ Korzyuk V.I., Cheb E.S. (Minsk, Belarus) Averaging operators with
variable mesh in the theory of boundary value problems
ˇ Kun Soo Chang (Seoul, Korea) Transforms and convolutions in functional
spaces
ˇ Laine I. (Joensuu, Finland) Growth of first, second and fourth
Painleve transcendents
ˇ Laurincikas A. (Vilnius, Lithuania) Zeta-functions of holomorphic cusp
forms
ˇ Moiseev E.I. (Moscow, Russia) On a non-local boundary value problems
with spectral parameter
ˇ Prilepko A.I., Tkachenko D.S. (Moscow, Russia) Fredholmity of the
inverse problem on the source for parabolic systems
ˇ Rahimov M., Gurkan F. (Sanliurfa, Turkey) Spectral theory of operators
which act from topological space to endomorphism algebra of Banach space
and multidimensional differential equation in Lie algebra
ˇ Rogosin S.V. (Minsk, Belarus) On analytic solutions to a free boundary
value problem with disconnected free boundary
ˇ Rozaini R., Zainodin H.J., Jusoh A.W. and Ho C.M. (Kota Kinabalu,
Malaysia) Blasius series on the steady boundary-layer from an unsteady
free convective problem
ˇ Samko S.G. (Faro, Portugal) On a recent progress on function spaces
with nonstandard growth
ˇ Silvestrov V.V. (Cheboksary, Russia), Antipov Y.A. (Bath, UK) A system
of functional-difference equations with periodic coefficients
ˇ Sokolov M.S. (Tashkent, Uzbekistan) Multi-interval boundary value
problems. Multiplicity and spectral representation
ˇ Vakulov B.G., Karapetyants N.K. (Rostov-on-Don, Russia) Spherical
operators of potential type with singularities in poles of the sphere
ˇ Yurchuk N.I. (Minsk, Belarus) A priori estimate and continuous
dependence on a form of boundary conditions of solution of mixed
problems for parabolic equations
The participants of the conference pointed out its high scientific
level. The proceedings of AMADE-2001 are to be published in a special
issues of the Journal "Proceedings of the Institute of Mathematics" of
the Belarusian National Academy of Sciences. A part of the reports was
recommended for publication in the Journal "Integral Transforms and
Special Functions". At the final meeting the participants suggested
organizing the next AMADE-Conference in February 2006 and devoting it to
the centenary of Academician F.D.Gakhov.
I.V.Gaishun, M.V.Dubatovskaya, A. A. Kilbas,
S.V.Rogosin, A.A.Sen'ko, N.I.Yurchu
Topic #6 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Dan Lozier
Subject: Postdoctoral Fellowship Opportunity at NIST
Dan Lozier is the research adviser for a two-year postdoctoral research
opportunity in Computation of Special Functions at NIST in Gaithersburg,
Maryland. From the research announcement:
"This research opportunity focuses on improving numerical and symbolic
computing support for the classical special functions of mathematical
physics in parallel and other advanced computational settings through
the development of algorithms and mathematical software.
Emphasis in algorithm development is placed on functions of one or more
complex variables. For example, a recurrence relation or differential
equation can sometimes be solved in parallel to form a stable and
effective algorithm in the complex domain. This approach has been
applied successfully to Airy, Bessel, and other functions. The emphasis
in software development is placed on the construction of robust and
highly reliable packages and test procedures. An essential component is
the use of the Internet to provide an interactive capability in the
dissemination of mathematical reference data for special functions. The
further development of these topics will require skills in real and
complex analysis, numerical analysis, classical special functions,
approximation theory, and parallel computing."
The NIST postdoctoral program is administered by the National Research
Council of the National Academy of Sciences in Washington. See
http://www.national-academies.org/rap for a complete description of the
NIST program (follow the link to Participating Programs, and then the
link to NIST). The research announcement quoted above can be found by
clicking on Rap Search (found at the left, not at the top, of the web
page), then entering a keyword search to "special functions".
Important: This opportunity is available only to citizens of the United
States. The deadline for application is February 1, 2004. Dan would be
pleased to talk with anyone who is interested in applying.
Topic #7 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: Call for Nominations - The Theodore von Karman Prize
CALL FOR NOMINATIONS
for
THE THEODORE von KARMAN PRIZE
SIAM will present the Theodore von Karman Prize at the SIAM Annual Meeting
scheduled for July 12-16, 2004, in Portland, Oregon.
-Principal Guidelines-
The award will be given for a notable application of mathematics to
mechanics and/or the engineering sciences made during the five to ten years
preceding the award. The award may be given either for a single notable
achievement or for a collection of such achievements.
-Description of Award-
The award consists of a hand-calligraphed certificate and a $1,000 cash
prize. Expenses for the winner to attend the annual meeting to receive the
award will be borne by SIAM.
Further information about the award, including past winners, may be found
at http://www.siam.org/prizes/vonkar.htm .
-Nominations-
A letter of nomination, including a description of achievement(s) should be
sent by January 30, 2004, to:
Von Karman Prize Selection Committee
c/o Joanna Littleton
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
E-mail: littleton@siam.org
Telephone: 215-382-9800 ext. 303
Fax: 215-386-7999
-Selection Committee-
The selection committee consists of J. Tinsley Oden (University of Texas at
Austin), Richard D. James (University of Minnesota), Thomas R. J. Hughes
(University of Texas at Austin).
Topic #8 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: Call for Nominations - W. T. and Idalia Reid Prize
CALL FOR NOMINATIONS
W. T. and IDALIA REID PRIZE
SIAM will present the W. T. and Idalia Reid Prize at the SIAM Annual
Meeting scheduled to be held July 12-16, 2004, in Portland, Oregon.
The award will be given for research in, or other contributions to, the
broadly defined areas of differential equations and control theory. The
prize may be given either for a single notable achievement or for a
collection of such achievements. Committee Chair John Burns wishes to
stress the breadth of the eligible fields. He welcomes nominations in all
areas of differential equations (ODEs, PDEs, etc.), both analytical and
numerical, as well as in control theory.
Eligibility
The prize is awarded to any member of the scientific community who meets
the general guidelines of the prize description above.
Description of Award
The award consists of an engraved medal and a $10,000 cash prize.
Nominations
A letter of nomination, including a description of achievement(s), should
be sent to the address below. Nominations must be received in the SIAM
office by January 30, 2004.
Professor John A. Burns
Chair, Reid Prize Selection Committee
c/o Joanna Littleton
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
Telephone: 215-382-9800 ext. 303
Fax: 215-386-7999
E-mail: littleton@siam.org
Selection Committee
Members of the selection committee are John A. Burns (Virginia Polytechnic
Institute and State University), Chair; H. Thomas Banks (North Carolina
State University); Max Gunzburger (Florida State University); James P.
Keener (University of Utah); Alan J. Laub (University of California,
Davis).
Topic #9 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: Francisco Marcellan
Subject: Book announcement
Renato Alvarez Nodarse
Polinomios hipergeometricos y q-polinomios.
Monografias del Seminario Matematico Garcia de Galdeano. Volume 26
Zaragoza. 2003. 343 pages. (In Spanish)
ISBN 84-7733-637-7.
Contents
Chapter 1. A historical introduction.
Chapter 2. General properties of orthogonal polynomials
Chapter 3. Classical orthogonal polynomials
Chapter 4. Discrete orthogonal polynomials.
Chapter 5. Hypergeometric polynomials in non uniform lattices.
Chapter 6. q-polynomials in the lattice x(s)=c_1 q^s + c_3.
Chapter 7. Distribution of zeros for q-polynomials
Chapter 8. Some applications: Harmonic oscillator. Linearization and
Connection Problems. Group representations.
This monograph is based on a updated presentation of the PhD thesis by
R. Alvarez Nodarse and constitutes a personal approach to the study of
orthogonal polynomials from a constructive point of view. A comparison
between the q-tableaux by Hahn, Askey and Nikiforv-Uvarov, respectively,
is presented. The different characterizations of "classical" orthogonal
polynomials in the uniform lattice and non uniform lattices are given.
The asymptotic distribution of zeros of orthogonal polynomials for the
geometric (exponential) lattice is carefully studied. Some applications
in Quantum Mechanics, showing the powerful theory of orthogonal
polynomials, are explained.
An useful set of tables containing the parameters associated with the
different expressions which characterize classical orthogonal
polynomials (three term recurrence relation, structure relation, Pearson
equation) are included. Finally, an updated list of references (250)
is given. Unfortunately, this monograph is written in Spanish but it is
a nice reference for those interested in the theory of orthogonal
polynomials. With this book and as an complementary exercise they can
also try to learn the language of Cervantes, Almodovar, and Rey Pastor.
For some extra information (an English summary as well as corrected
misprints) about the book you are kindly invited to visit the web page
http://merlin.us.es/~renato/q-libro/
Topic #10 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Updates to Suslov's book on Basic Fourier Series
Sergei Suslov has posted a file of the known errata in his book "An
Introduction to Basic Fourier Series", Kluwer, DEVM, v. 9, 2003, at
http://hahn.la.asu.edu/~suslov/bfs/index.html
Topic #11 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
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
http://www.arXiv.org/abs/math.CO/0309108
Title: Lecture Hall Theorems, q-series and Truncated Objects
Authors: S. Corteel, C.D. Savage
Subj-class: Combinatorics
MSC-class: 05A17 05A15 05A30 33D15
http://www.arXiv.org/abs/math.QA/0309201
Title: Ramanujan's "Lost Notebook" and the Virasoro Algebra
Authors: Antun Milas
Comments: Revised version (23 pages, misprints corrected, references
added)
Subj-class: Quantum Algebra; Combinatorics; Number Theory;
Representation Theory
http://www.arXiv.org/abs/math.SP/0309206
Title: Necessary and Sufficient Conditions in the Spectral Theory of
Jacobi Matrices and Schr\"odinger Operators
Authors: David Damanik, Rowan Killip, Barry Simon
Comments: 10 pages
Subj-class: Spectral Theory; Mathematical Physics
http://www.arXiv.org/abs/math.CA/0309241
Title: Extensions of the well-poised and elliptic well-poised Bailey
lemma
Authors: S. Ole Warnaar
Comments: 16 pages, AMS-LaTeX, to appear in Indag. Math. (N.S.)
Subj-class: Classical Analysis and ODEs; Combinatorics
MSC-class: 33D15; 33E05
http://www.arXiv.org/abs/math.CA/0309242
Title: Summation formulae for elliptic hypergeometric series
Authors: S. Ole Warnaar
Comments: 8 pages, AMS-LaTeX
Subj-class: Classical Analysis and ODEs; Combinatorics
MSC-class: 33D15; 33E0
http://www.arXiv.org/abs/math.QA/0309252
Title: Transformations of elliptic hypergometric integrals
Authors: Eric M. Rains
Comments: 47 pages, LaTeX
Subj-class: Quantum Algebra; Classical Analysis and ODEs;
Combinatorics
http://www.arXiv.org/abs/math.CA/0309279
Title: Unit circle elliptic beta integrals
Authors: J.F. van Diejen, V.P. Spiridonov
Comments: 15 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33Dxx; 33E20
http://www.arXiv.org/abs/math.AG/0309341
Title: B\"acklund Transformations of the Sixth Painlev\'e Equation in
Terms of Riemann-Hilbert Correspondence
Authors: Michi-aki Inaba (Kyushu), Katsunori Iwasaki (Kyushu),
Masa-Hiko Saito (Kobe)
Comments: 24pages, 4 figures, 3 eps files
Subj-class: Algebraic Geometry; Analysis of PDEs; Exactly Solvable and
Integrable Systems
MSC-class: 33E17; 37K20, 37J35
http://www.arXiv.org/abs/math.CA/0309358
Title: On Warnaar's elliptic matrix inversion and Karlsson-Minton-type
elliptic hypergeometric series
Authors: Hjalmar Rosengren, Michael Schlosser
Comments: 16 pages
Subj-class: Classical Analysis and ODEs; Combinatorics; Quantum
Algebra
MSC-class: 11F50; 15A09; 33D15; 33E05
http://www.arXiv.org/abs/math.QA/0309372
Title: Identities between q-hypergeometric and hypergeometric
integrals of different dimensions
Authors: V.Tarasov, A.Varchenko
Comments: Preprint (2003), 14 pages, AmsLaTeX
Subj-class: Quantum Algebra; Mathematical Physics; Representation
Theory
http://www.arXiv.org/abs/math.NT/0309415
Title: Geometry and arithmetic associated to Appell hypergeometric
partial differential equations
Authors: Lei Yang
Comments: 119 pages
Subj-class: Number Theory; Algebraic Geometry
MSC-class: 11F55, 11G15, 14K20, 22E40, 33Cxx
http://www.arXiv.org/abs/math.CA/0309443
Title: Strong asymptotics for Jacobi polynomials with varying
nonstandard parameters
Authors: A.B.J. Kuijlaars, A. Martinez-Finkelshtein
Comments: 31 pages, 13 figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 33C45
http://www.arXiv.org/abs/math.CA/0309445
Title: Some continuous analogs of expansion in Jacobi polynomials and
vector valued hypergeometric orthogonal bases
Authors: Neretin Yu. A
Comments: 15 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C05, 33C45, 44xx, 47E05
http://www.arXiv.org/abs/math.QA/0309452
Title: Hypergeometric theta functions and elliptic Macdonald
polynomials
Authors: Giovanni Felder (ETH Zurich), Alexander Varchenko (UNC Chapel
Hill)
Comments: 16 pages
Subj-class: Quantum Algebra
MSC-class: 33D52;81T40
http://www.arXiv.org/abs/math.NT/0309478
Title: Riemann's Zeta Function and Beyond
Authors: Stephen S. Gelbart, Stephen D. Miller
Comments: Survey, 63 pages, to appear in the Bulletin of the A.M.S.,
2004
Subj-class: Number Theory; Complex Variables
http://www.arXiv.org/abs/hep-th/0309067
Title: Explicit formulas for the generalized Hermite polynomials in
superspace
Authors: Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
Comments: 20 pages. This is a recasting of the second part of the
first version of hep-th/030538 which has been splitted in two
articles
Subj-class: High Energy Physics - Theory; Combinatorics; Quantum
Algebra; Exactly Solvable and Integrable Systems
http://www.arXiv.org/abs/math-ph/0309005
Title: Lam\'e polynomials, hyperelliptic reductions and Lam\'e band
structure
Authors: Robert S. Maier (University of Arizona)
Subj-class: Mathematical Physics; Classical Analysis and ODEs; Exactly
Solvable and Integrable Systems
MSC-class: 33E10 (Primary); 34L40, 14K25 (Secondary)
http://www.arXiv.org/abs/math-ph/0309058
Title: Growth models, random matrices and Painleve transcendents
Authors: Peter J. Forrester
Comments: 27 pages, 5 figures
Subj-class: Mathematical Physics
Journal-ref: Nonlinearity, volume 16, issue 6, pages R27 - R49, 2003
http://www.arXiv.org/abs/nlin.SI/0309078
Title: Dessins d'Enfants, Their Deformations and Algebraic the Sixth
Painlev\'e and Gauss Hypergeometric Functions
Authors: A. V. Kitaev
Comments: 35 pages
Subj-class: Exactly Solvable and Integrable Systems; Classical
Analysis and ODEs
http://www.arXiv.org/abs/nlin.SI/0309058
Title: Symmetries of Discrete Systems
Authors: Pavel Winternitz
Comments: 58 pages, 5 figures, Lectures presented at the Winter School
on Discrete Integrable Systems in Pondicherry, India, February 2003
Subj-class: Exactly Solvable and Integrable Systems; Mathematical
Physics
http://www.arXiv.org/abs/math.AG/0310003
Title: Bivariate hypergeometric D-modules
Authors: Alicia Dickenstein, Laura Matusevich, Timur Sadykov
Comments: 36 pages
Subj-class: Algebraic Geometry
http://www.arXiv.org/abs/math.QA/0310042
Title: Tridiagonal pairs and the quantum affine algebra $U_q({\hat
{sl}}_2)$
Authors: Tatsuro Ito, Paul Terwilliger
Comments: 23 pages
Subj-class: Quantum Algebra; Complex Variables
MSC-class: 20G42
http://www.arXiv.org/abs/math.CA/0310061
Title: Resolution of Some Open Problems Concerning Multiple Zeta
Evaluations of Arbitrary Depth
Authors: Douglas Bowman (Northern Illinois University), David M.
Bradley (University of Maine)
Comments: 21 pages, To appear in Compositio Mathematica
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 33E20 (Primary) 33C05, 11G55 (Secondary)
http://www.arXiv.org/abs/math.CA/0310062
Title: Multiple Polylogarithms: A Brief Survey
Authors: Douglas Bowman (Northern Illinois University), David M.
Bradley (University of Maine)
Comments: 22 pages, in "Proceedings of a Conference on q-Series with
Applications to Combinatorics, Number Theory and Physics," (Bruce
C. Berndt and Ken Ono eds.) American Mathematical Society,
Contemporary Mathematics, Vol. 291, 2001, pp. 71-92. [MR
#2003c:33021]
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 33E20 (Primary) 11G55, 11M99, 40B05 (Secondary)
Journal-ref: Contemporary Mathematics Vol. 291 (2001), 71-92. [MR
#2003c:33021]
http://www.arXiv.org/abs/math.CA/0310063
Title: Coupling of the Legendre polynomials with kernels
$|x-y|^\alpha$ and $\ln|x-y|$
Authors: S. Sadov
Comments: 23 pp. LaTeX, Preprint of the Keldysh Institute for Applied
Mathematics
Subj-class: Classical Analysis and ODEs
MSC-class: 33C20; 45H05
http://www.arXiv.org/abs/math.QA/0310080
Title: The Rogers-Selberg recursions, the Gordon-Andrews identities
and intertwining operators
Authors: Stefano Capparelli, James Lepowsky, Antun Milas
Comments: 22 pages, LaTeX
Subj-class: Quantum Algebra; Combinatorics; Representation Theory
http://www.arXiv.org/abs/math.CO/0310082
Title: The Algebra and Combinatorics of Shuffles and Multiple Zeta
Values
Authors: Douglas Bowman (Northern Illinois University), David M.
Bradley (University of Maine)
Comments: 21 pages, available online at this http URL
Subj-class: Combinatorics; Number Theory
MSC-class: 05E99 (Primary) 20F40, 68R15 (Secondary)
Journal-ref: Journal of Combinatorial Theory, Series A, Vol. 97
(2002), no. 1, pp. 43-61
DOI: 10.1006/jcta.2001.3194
http://www.arXiv.org/abs/math.FA/0310172
Title: Some computable Wiener-Hopf determinants and polynomials
orthogonal on an arc of the unit circle
Authors: I. V. Krasovsky
Comments: 16 pages
Subj-class: Functional Analysis; Mathematical Physics
http://www.arXiv.org/abs/math.CV/0310204
Title: A Riemann-Hilbert problem for biorthogonal polynomials
Authors: A. B. J. Kuijlaars, K. T-R McLaughlin
Comments: 10 pages
Subj-class: Complex Variables; Mathematical Physics
http://www.arXiv.org/abs/math.NA/0310238
Title: Computation of the entropy of polynomials orthogonal on an
interval
Authors: V. Buyarov, J. S. Dehesa, A. Martinez-Finkelshtein,
J. Sanchez-Lara
Comments: Aprox. 21 pages, 5 figures
Subj-class: Numerical Analysis; Classical Analysis and ODEs;
Mathematical Physics
MSC-class: 33C45; 33C55; 33C90; 33F05; 42C05; 65D20; 65D30; 81Q99
http://www.arXiv.org/abs/math.QA/0310249
Title: Singular Polynomials for the Symmetric Group and Krawtchouk
Polynomials
Authors: Charles F. Dunkl
Comments: submitted to Proceedings of 10th Kravchuk International
Conference (2004), 12 pages
Subj-class: Quantum Algebra; Classical Analysis and ODEs
MSC-class: 33C80, 20C30
http://www.arXiv.org/abs/math.CA/0310278
Title: Uniform Asymptotics for Polynomials Orthogonal With Respect to
a General Class of Discrete Weights and Universality Results for
Associated Ensembles
Authors: J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin, P. D. Miller
Comments: 152 Pages
Subj-class: Classical Analysis and ODEs; Probability Theory; Exactly
Solvable and Integrable Systems
http://www.arXiv.org/abs/math.CA/0310436
Title: Transformations of some Gauss hypergeometric functions
Authors: Raimundas Vidunas
Comments: 16 pages; submitted for the Proceedings of the OPSFIA 7
symposium (Copenhagen, August 18-22, 2003)
Subj-class: Classical Analysis and ODEs
MSC-class: 33C05; 14Q05
http://www.arXiv.org/abs/math.CA/0310465
Title: Finite-gap solutions of the Fuchsian equation
Authors: Alexander O. Smirnov
Comments: 19 pages, LaTeX2e (AMSLaTeX)
Subj-class: Classical Analysis and ODEs; Spectral Theory
MSC-class: 33E30 (Primary); 34L40; 14H70 (Secondary)
http://www.arXiv.org/abs/math.AP/0310480
Title: Hypergeometric functions and the Tricomi operator
Authors: J. Barros-Neto, Fernando Cardoso
Subj-class: Analysis of PDEs; Classical Analysis and ODEs; Functional
Analysis
http://www.arXiv.org/abs/math-ph/0310006
Title: Discrete q-derivatives and symmetries of q-difference equations
Authors: D. Levi, J. Negro, M.A. del Olmo
Comments: 23 pages, 17 figures, LaTex
Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems
http://www.arXiv.org/abs/math-ph/0310011
Title: Separation of variables and Lie algebra contractions.
Applications to special functions
Authors: George Pogosyan, Alexey Sissakian, Pavel Winternitz
Subj-class: Mathematical Physics
Journal-ref: Phys.Part.Nuclei 33(7) 235-276 (2002)
http://www.arXiv.org/abs/math-ph/0310038
Title: Disentangling q-exponentials: A general approach
Authors: C. Quesne
Comments: LaTeX 2e, 19 pages, no figure
Subj-class: Mathematical Physics; Quantum Algebra
http://www.arXiv.org/abs/math-ph/0310048
Title: On the integration of products of Whittaker functions with
respect to the second index
Authors: Peter A. Becker
Comments: Accepted for publication in the Journal of Mathematical Physics
Subj-class: Mathematical Physics; Complex Variables
MSC-class: 33C15, 30E20 (Primary) 85A25 (Secondary)
http://www.arXiv.org/abs/math-ph/0310054
Title: Three tests of general relativity via Fermat's principle and
the phase of Bessel functions
Authors: B. H. Lavenda
Comments: 16 pages
Subj-class: Mathematical Physics
MSC-class: 83Cxx; 83D05
http://www.arXiv.org/abs/math-ph/0310056
Title: Reality Conditions of Loop Solitons Genus g: Hyperelliptic am
Functions
Authors: Shigeki Matsutani
Comments: 13 pages, 3 figures
Subj-class: Mathematical Physics
MSC-class: 37K20, 35Q53, 14H45, 14H70
http://www.arXiv.org/abs/math-ph/0310058
Title: Systems with Intensity Dependent Conversion Integrable by
Finite Orthogonal Polynomials
Authors: Maciej Horowski, Goce Chadzitaskos, Anatol Odzijewicz, Agnieszka
Tereszkiewicz
Comments: 12 pages
Subj-class: Mathematical Physics
MSC-class: 81V80, 33C45, 81R12, 81R15
Topic #12 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
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://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
For several years the Activity Group sponsored a printed Newsletter,
most recently edited by Rafael Yanez. Back issues are accessible at:
http://www.mathematik.uni-kassel.de/~koepf/siam.html
Given the widespread availability of email and the Internet, the need for
the printed Newsletter has decreased. Discussions are underway concerning
whether an annual printed Newsletter or Annual Report should be
instituted.
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
WWW : http://www.siam.org
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 #13 ----------- OP-SF NET 10.6 ------------ November 15, 2003
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET
To contribute a news item to OP-SF NET, send email to poly@siam.org
with a copy to the OP-SF Editor .
Contributions to OP-SF NET 11.1 should be sent by January 1, 2004.
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
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
Back issues can be obtained at the WWW addresses:
http://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
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 (2002-2004) are:
Daniel W. Lozier, Chair
Walter Van Assche, Vice Chair
Peter Clarkson, Secretary
Francisco Marcellan, Program Director
The appointed officers are:
Rafael J. Yanez, Newsletter Editor
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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