o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
January 15, 2005
O P - S F N E T Volume 12, 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
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
Today's Topics:
1. New Officers
2. Message from the Chair
3. Varna Conference on Constructive Theory of Functions
4. International Mediterranean Congress of Mathematics
5. Fejér-Riesz Conference, Eger, Hungary
6. Updates on Munich Symposium
7. Death of Johannes (Joop) Boersma
8. Death of John T. Lewis
9. Book on Painleve Equations
10. Ralph E. Kleinman Prize - Call for Nominations
11. SIAM Student Paper Prize - Call for Submissions
12. Preprints in arXiv.org
13. About the Activity Group
14. Submitting contributions to OP-SF NET
Calendar of Events:
2005
June 1-7: Constructive Theory of Functions - 2005, Varna, Bulgaria
http://www.math.bas.bg/CTF-2005/ 12.1 #3
June 6-10: International Mediterranean Congress of Mathematics,
Almeria, Spain, including thematic session on Approximation,
Special Functions and Numerical Analysis
http://www.ual.es/congresos/CIMMA2005/ 12.1 #4
June 8-14: Fejér-Riesz conference, Eger, Hungary
http://www.math.u-szeged.hu/confer/fejerriesz/ 12.1 #5
June 13-17: Computational Methods and Function Theory,
Joenssu, Finland
http://www.joensuu.fi/cmft
June 20-26: Sixth International Conference SYMMETRY IN NONLINEAR
MATHEMATICAL PHYSICS, Kyiv (Kiev), Ukraine 11.6 #5
http://www.imath.kiev.ua/~appmath/conf.html
June 30 - July 2: Workshop on Special Functions and Orthogonal
Polynomials, during "Foundations of Computational Mathematics",
Santander, Spain 11.6 #2
http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM05/
July 4-6: Special Functions: Asymptotic Analysis and Computation,
a Conference in honor of Nico Temme's 65th Birthday,
Santander, Spain 11.5 #2
Sponsored by the SIAM OPSF Activity Group
http://www.sf05.unican.es/
July 11-15: SIAM Annual Meeting, New Orleans, Louisiana, USA
http://www.siam.org/meetings/AN05/
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 11.6 #3 12.1 #6
http://www-m6.ma.tum.de/~ruffing/Conference2005/
July 25-30: ISAAC Congress 2005, Catania, Italy (International
Society for Analysis, its Applications and Computation)
http://mathisaac.org/
August 1-5: Conference on Differential & Difference Equations and
Applications, Melbourne, Florida, USA
http://my.fit.edu/~agarwal/
October 8-9: American Mathematical Society Eastern Section Meeting
including Special Session on Special Functions and Orthogonal
Polynomials: Theory and Applications, Bard College,
Annandale-on-Hudson, New York, USA
http://www.ams.org/amsmtgs/2120_program.html
2006
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
Topic #1 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: New Officers
As a result of the recent elections, the following are the Officers of
the SIAM Activity Group on Orthogonal Polynomials and Special Functions
for the three-year term January 1, 2005 to December 31, 2007.
Chair: PETER ALAN CLARKSON
Professor, Department of Mathematics, University of Kent, United Kingdom
Vice Chair: DANIEL W. LOZIER
Mathematician, Mathematical and Computational Sciences Division,
National Institute of Standards and Technology, Gaithersburg, MD
Secretary: JAVIER SEGURA
Associate Professor, Department of Mathematics, University de Cantabria,
Spain
Program Director: PETER A. McCOY
Professor, Department of Mathematics, United States Naval Academy,
Annapolis, MD
Topic #2 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: Peter A. Clarkson
Subject: Message from the Chair
Welcome to to the first Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions of 2005.
This is an exciting period for our activity group with the forthcoming
publication of the Digital Library of Mathematical Functions (DLMF). I
feel that this is an opportunity for the activity group to get a higher
profile within the Mathematics community. Special functions and
orthogonal polynomials have a long and distinguished history which has
impacted upon many areas of Mathematics and its applications, notably
the classic text by Whittaker and Watson and the Bateman Project. There
are many links between the interests of our activity group and other
areas of Mathematics as well as applications to Physics and Engineering.
I feel that during the next few years these need to be further developed
and the publication of the DLMF provides an ideal opportunity.
Currently there are links being developed with researchers in other
areas of Mathematics. An illustration of the forthcoming joint
conference to be held in Munich, Germany in July 2005 consisting of
"Orthogonal Polynomials, Special Functions and Applications",
"Conference on Difference Equations and Applications" and "Symmetries
and Integrability of Difference Equations", all of whom are groups which
hold regular conferences. I am particularly looking forward to this
meeting having attended recent meetings in the "Orthogonal Polynomials,
Special Functions and Applications" and "Symmetries and Integrability of
Difference Equations" series.
I look forward to meeting members of the Activity group at various
conferences during my term as Chair of the group.
Topic #3 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: Walter Van Assche
Subject: Varna Conference on Constructive Theory of Functions
CONSTRUCTIVE THEORY OF FUNCTIONS - 2005, VARNA (BULGARIA),
June 1-7, 2005
The series of Varna conferences on Constructive theory of functions
held in 1970, 1977, 1981, 1984, 1987, 1991, and 2002 will continue.
The conference Constructive Theory of Functions 2005 will take place
in Varna, Bulgaria, June 1-7, 2005. The scientific program of the
conference includes: 6 plenary lectures, regular talks and an open
problems session.
Invited plenary speakers:
1. Carl de Boor (University of Wisconsin, USA)
2. Boris S. Kashin (Steklov Mathematical Institute, Moscow)
3. Sergei V. Konyagin (Moscow State University, Moscow)
4. Arno Kuijlaars (KU Leuven, Belgium)
5. Geno Nikolov (Sofia University, Sofia)
6. Vilmos Totik (University of Szeged / University of South Florida)
Special guest of the organizers:
Per Enflo (Kent State University, USA)
For more information, see the web site:
http://www.math.bas.bg/CTF-2005/
Topic #4 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: International Mediterranean Congress of Mathematics
From the web site:
http://www.ual.es/congresos/CIMMA2005/
During the period June 6-10 2005, the "International Mediterranean
Congress of Mathematics" will be held in Almeria, Spain. One of the nine
thematic sessions will be
APPROXIMATION, SPECIAL FUNCTIONS AND NUMERICAL ANALYSIS
Topics: Approximations and expansions, special functions, orthogonal
polynomials, numerical analysis, applications.
Organizers:
Andrei Martínez Finkelshtein (coordinator)
Bernhard Beckermann (U. Lille I, France)
Juan José Moreno Balcázar
Pedro López Artés
Main speakers:
Guillermo López Lagomasino (U. Carlos III, Madrid, Spain)
Stefano Serra Capizzano (U. Insubria, Como, Italy)
Galliano Valent (U. Marseille, France)
Topic #5 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: Walter Van Assche
Subject: Fejér-Riesz Conference, Eger, Hungary
The János Bolyai Mathematical Society, in cooperation with the
Eszterházy Károly College of Eger (Institute of Mathematics and
Informatics) is organizing a conference to commemorate the 125th
anniversary of the birth of two outstanding Hungarian mathematicians:
Lipót Fejér and Frigyes Riesz. The scientific activity of this
conference will be centered on the main areas of their fields:
classical, harmonic and functional analysis. The conference will be in
Eger from June 8 (arrival date) till June 14 (departure date) in 2005.
Plenary speakers:
Ákos Császár (Eötvös Loránd University, Hungary)
János Horváth (University of Maryland, USA)
Jean-Pierre Kahane (Université de Paris-Sud, France)
Allan Pinkus (Technion, Israel)
Barry Simon (California Institute of Technology, USA)
Other Invited Speakers:
Francesco Altomare
(Universitŕ di Bari, Italy)
Joseph A. Ball
(Virginia Tech, USA)
Marek Bozejko
(University of Wroclaw, Poland)
Ronald G. Douglas
(Texas A&M University, USA)
Carl de Boor
(University of Wisconsin, USA)
Fumio Hiai
(Tohoku University, Japan)
Zeev Ditzian
(University of Alberta, Canada)
Eric A. Carlen
(Georgia Tech, USA)
Tamás Erdelyi
(Texas A&M University, USA)
Heinz Langer
(Vienna University of Technology, Austria)
Arno B. J. Kuijlaars
(Katholieke Universiteit Leuven, Belgium)
Paul Müller
(University of Linz, Austria)
Jaroslav Kurzweil
(Czech Academy of Sciences, Czech Republic)
Nikolai K. Nikolski
(University of Bordeaux I, France)
Dany Leviatan
(Tel Aviv University, Israel)
Aleksander Pelczynski
(Polish Academy of Sciences)
Giuseppe Mastroianni
(Universitŕ degli Studi della Basilicata, Italy)
Vladimir Müller
(Czech Academy of Sciences, Czech Republic)
Richard S. Varga
(Kent State University, USA)
Vladimir Peller
(Michigan State University, USA)
Walter Van Assche
(Katholieke Universiteit Leuven, Belgium)
Laszlo Zsido
(University of Rome II, Rome, Italy)
For further information, see the web site:
http://www.math.u-szeged.hu/confer/fejerriesz/
Topic #6 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Updates on Munich Symposium
The web page
http://www-m6.ma.tum.de/~ruffing/Conference2005/
for OPSFA8/ICDEA10 - the Eighth International Symposium on Orthogonal
Polynomials, Special Functions and Applications and Tenth International
Conference on Difference Equations and Applications, to be held in Munich,
Germany July 25-29 has been updated to include several new items of
information including the list of invited speakers:
* Yurij Berezansky (Ukraine) (to be confirmed)
* Martin Bohner (U.S.A.)
* Alexei Borodin (U.S.A.) (to be confirmed)
* Carlos Castillo-Chavez (U.S.A.) (to be confirmed)
* Robert Devaney (U.S.A.)
* Saber Elaydi (U.S.A.)
* Norrie Everitt (U.K.)
* Jeff Geronimo (U.S.A.)
* Jean-Michel Grandmont (France)
* Walter Hayman (U.K.)
* Mourad Ismail (U.S.A.)
* Wolfram Koepf (Germany)
* Igor Krichever (U.S.A.)
* Francisco Marcellan (Spain)
* Eric Rains (U.S.A.) (to be confirmed)
* Paolo Ricci (Italy)
* Ed Saff (U.S.A.) (to be confirmed)
* Barry Simon (U.S.A.)
* Alexandr Sharkovsky (Ukraine)
* Herbert Stahl (Germany)
* Sergei Suslov (U.S.A.)
* Donato Trigiante (Italy)
* Galliano Valent (France)
* Walter van Assche (Belgium)
* Erik van Doorn (The Netherlands)
* Alexei Zhedanov (Ukraine)
Topic #7 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Death of Johannes (Joop) Boersma
Joop Boersma, Professor Emeritus at the Technical University, Eindhoven,
The Netherlands, died on November 29, 2004. He was born on December 5,
1937. He studied mathematics at the University of Groningen, and
obtained his PhD there in 1964 (cum laude) with a thesis "Boundary value
problems in diffraction theory and lifting surface theory", supervised
by Professor A.I. van de Vooren). After a stay at the Courant Institute
in 1965, he started work at the TU Eindhoven in 1966, first as a
lecturer, but already in 1967 as a full professor. He officially retired
in 1998, but remained active in mathematics and was in his office almost
every working day.
Joop Boersma worked in applied analysis (mechanics, optics, fluid
mechanics), where he used special functions (in particular Bessel
functions and confluent hypergeometric functions) and asymptotics as
important tools. His expertise, precision and willingness to answer
questions were much appreciated by students, and by colleagues in
Eindhoven, the Netherlands, and throughout the world.
Topic #8 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Death of John T. Lewis
John T. Lewis, formerly of the Dublin Institute for Advanced Studies,
known for his work in quantum mechanics, statistical mechanics, applied
probability and applications to telecommunications, died early last
year. John was a user of special functions with a rare insight into
some deeper aspects of their structure as I discovered in some work with
him using the Hellmann-Feynman theorem in the 1970s. This led to later
work on monotonicity of zeros by M. Ismail and R. Zhang, and by E. K.
Ifantis, among others. But Lewis had many other scientific and personal
qualities, well captured by the anonymous author of the obituary in:
http://www.stp.dias.ie/people/Lewis/obituary
Topic #9 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Book on Painleve Equations
The following information is taken from the web site of the American
Mathematical Society Bookstore:
Painlevé Equations through Symmetry
Masatoshi Noumi, Kobe University, Japan
"The Painlevé equations themselves are really a wonder. They still
continue to give us fresh mysteries ... One reason that I wrote this book
is to tell you how impressed I am by the mysteries of the Painlevé
equations."
--from the Preface
The six Painlevé equations (nonlinear ordinary differential equations of
the second order with nonmovable singularities) have attracted the
attention of mathematicians for more than 100 years. These equations and
their solutions, the Painlevé transcendents, nowadays play an important
role in many areas of mathematics, such as the theory of special
functions, the theory of integrable systems, differential geometry, and
mathematical aspects of quantum field theory.
The present book is devoted to the symmetry of Painlevé equations
(especially those of types II and IV). The author studies families of
transformations for several types of Painlevé equations--the so-called
Bäcklund transformations--which transform solutions of a given Painlevé
equation to solutions of the same equation with a different set of
parameters. It turns out that these symmetries can be interpreted in
terms of root systems associated to affine Weyl groups. The author
describes the remarkable combinatorial structures of these symmetries,
and shows how they are related to the theory of $\tau$-functions
associated to integrable systems.
Prerequisites include undergraduate calculus and linear algebra with
some knowledge of group theory. The book is suitable for graduate
students and research mathematicians interested in special functions and
the theory of integrable systems.
Contents
* What is a Bäcklund transformation?
* The symmetric form
* $\tau$-functions
* $\tau$-functions on the lattice
* Jacobi-Trudi formula
* Getting familiar with determinants
* Gauss decomposition and birational transformations
* Lax formalism
* Appendix
* Bibliography
* Index
Details:
* Publisher: American Mathematical Society
* Distributor: American Mathematical Society
* Series: Translations of Mathematical Monographs, ISSN: 0065-9282
* Volume: 223
* Publication Year: 2004
* ISBN: 0-8218-3221-2
* Paging: 156 pp.
* Binding: Hardcover
* List Price: $69
* Institutional Member Price: $55
* Individual Member Price: $55
* Order Code: MMONO/223
The full Preface may be viewed at
http://www.ams.org/bookstore/pspdf/mmono-223.pdf
Topic #10 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: Ralph E. Kleinman Prize - Call for Nominations
CALL FOR NOMINATIONS
The Ralph E. Kleinman Prize
SIAM will present the Ralph E. Kleinman Prize at the 2005 SIAM Annual
Meeting to be held July 11-15, 2005, in New Orleans, Louisiana.
The prize is awarded to an individual for outstanding research or other
contributions that bridge the gap between mathematics and applications.
Work that uses high-level mathematics and/or invents new mathematical
tools to solve applied problems from engineering, science, and
technology is particularly appropriate. The prize may be awarded for a
single notable achievement or for a collection of such achievements.
Description of the Award
The award will consist of a hand-calligraphed, framed certificate and a
cash award of $5,000. SIAM will reimburse reasonable travel expenses
for the recipient to attend the award ceremony.
Nominations
A letter of nomination, including a curriculum vitae and description of
the achievement(s), should be sent to the address below. You are
encouraged to send electronic files via e-mail. Supporting letters are
welcome. Nominations must be received in the SIAM office by February
15, 2005.
Ralph E. Kleinman Prize Selection Committee
Professor William W. Symes, Chair
c/o J. M. Littleton
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
E-mail: littleton@siam.org
Telephone: 215-382-9800
Fax: 215-386-7999
Selection Committee
Members of the selection committee are: William W. Symes (chair), Rice
University; Martin Groetschel, ZIB; Max Gunzburger, Florida State
University; Gregory A. Kriegsmann, New Jersey Institute of Technology;
Paul Van Dooren, Universite Catholique de Louvain.
Topic #11 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: SIAM Student Paper Prize - Call for Submissions
DEADLINE APPROACHING - CALL FOR SUBMISSIONS
SIAM Student Paper Prize
The 2005 SIAM STUDENT PAPER PRIZE will be presented at the 2005 SIAM
Annual Meeting scheduled for July 11-15, 2005, in New Orleans,
Louisiana.
Principal Guidelines
The SIAM Student Paper Prize is awarded every year to the student
author(s) of the most outstanding paper(s) submitted to the SIAM
Student Paper Competition. This award is based solely on the merit and
content of the student's contribution to the submitted paper. Up to
three papers will be selected for the prizes.
The purpose of the Student Paper Prize is to recognize outstanding
scholarship by students in applied mathematics and scientific computing.
Selection Procedures
Eligibility is restricted to students in good standing who have not
received their Ph.D. prior to March 1 of the year in which the award is
given.
Submissions may be based on co-authored papers, provided that the
student's advisor will attest that the student's work played a pivotal
role in the results. A letter from the student's advisor or department
chair must accompany each entry to verify these conditions.
To enter the competition, a student must submit: (1) an extended
abstract, in English, of a paper, and (2) a short biography. The total
length of the submitted abstract (including bibliography) may not exceed
five pages. The student also must submit (3) the complete paper, which
will be used for clarification of any questions the committee may have
about the extended abstract. In addition, the student's advisor or an
interested faculty member must submit (4) a letter describing and
evaluating the paper's contribution to the literature and the student's
role in the scholarship.
Deadline for Submissions
All papers and accompanying documentation must be received at the SIAM
office by February 1, 2005.
Notification of Prize Winner(s)
The SIAM President will notify the recipient(s) at least six weeks
before the award date.
Each recipient is required to present his or her paper at the meeting
where the prize(s) are awarded. If attending the meeting poses a
serious hardship, an exception may be granted by the SIAM President.
Description of the Award
Each recipient of the SIAM Student Paper Prize shall receive a framed
certificate and a cash award of $1,000. Winners also receive $500
toward travel expenses and gratis registration for the meeting.
Please direct your submission to:
Student Paper Prize Selection Committee
Professor William L. Briggs, Chair
c/o J. M. Littleton
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
USA
Please address any questions to:
J. M. Littleton
Telephone: (215) 382-9800 ext. 303
E-mail: littleton@siam.org
Selection Committee
The members of the selection committee are: Vincent J. Ervin, Clemson
University; Juergen Gerlach, Radford University; and S. I. Hariharan,
University of Akron.
Topic #12 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Preprints in arXiv.org
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 arXiv.org. 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.NT/0411040
Title: The Mellin transform of the square of Riemann's zeta-function
Authors: Aleksandar Ivi\'c
Comments: 9 pages
Subj-class: Number Theory
MSC-class: 11M06
http://www.arxiv.org/abs/math.CA/0411044
Title: Inversions of integral operators and elliptic beta integrals on
root systems
Authors: Vyacheslav P. Spiridonov, S. Ole Warnaar
Comments: 36 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33D60; 3367; 33E05
http://www.arxiv.org/abs/math.CO/0411072
Title: A combinatorial proof of the Rogers-Ramanujan and Schur
identities
Authors: Cilanne Boulet (MIT), Igor Pak (MIT)
Subj-class: Combinatorics
http://www.arxiv.org/abs/math.NT/0411087
Title: Recurrence relations for the Lerch Phi function and applications
Authors: Marco Dalai
Comments: 11 pages. To appear in ZAA
Subj-class: Number Theory; Complex Variables
MSC-class: 11M35 (Primary), 11B68, 11M06 (Secondary)
http://www.arxiv.org/abs/math.CA/0411136
Title: Summation formulae for noncommutative hypergeometric series
Authors: Michael Schlosser
Comments: 35 pages
Subj-class: Classical Analysis and ODEs; Quantum Algebra
MSC-class: 33C20, 33C99, 33D15, 33D99
http://www.arxiv.org/abs/math.QA/0411147
Title: Etingof Trace, Path Hypergeometric Functions and Integrable
Systems
Authors: Xiaoping Xu
Comments: 54 pages; Replacing previous wrong file
Subj-class: Quantum Algebra
MSC-class: 17B80, 33D67, 35Q58
http://www.arxiv.org/abs/math.CA/0411249
Title: Duality of q-polynomials, orthogonal on countable sets of points
Authors: N. M. Atakishiyev, A. U. Klimyk
Comments: 71 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33D80; 33D45; 17B37
http://www.arxiv.org/abs/math.NT/0411267
Title: On a multiple harmonic power series
Authors: Michel Emery (IRMA)
Subj-class: Number Theory
MSC-class: MSC: 11M35, 33E20, 40A25, 40B05
Abstract: "The formulas discussed in the previous version are not new."
http://www.arxiv.org/abs/math.QA/0411274
Title: On the Sum Formula for Multiple q-Zeta Values
Authors: David M. Bradley
Comments: 9 pages, submitted for publication September 30, 2004
Subj-class: Quantum Algebra; Number Theory
MSC-class: 11M41; 11M06, 05A30, 30B50
http://www.arxiv.org/abs/math.AG/0411362
Title: On the geometry of the Calogero-Moser system
Authors: Wim Couwenberg, Gert Heckman, Eduard Looijenga
Comments: 16 pages
Subj-class: Algebraic Geometry; Complex Variables
MSC-class: 33C67, 32N10, 14J27
http://www.arxiv.org/abs/math.SP/0411388
Title: Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle
Authors: Barry Simon
Comments: Keywords: OPUC, random Verblunsky coefficients, localization
Subj-class: Spectral Theory
MSC-class: 26C05, 82B44, 47N20
http://www.arxiv.org/abs/math.SP/0411391
Title: Fine Structure of the Zeros of Orthogonal Polynomials, I.
A Tale of Two Pictures
Authors: Barry Simon
Comments: Keywords: orthogonal polynomials, Jacobi matrices, CMV
matrices
Subj-class: Spectral Theory
MSC-class: Primary 4C05 ; Secondary 47B36, 42C05
http://www.arxiv.org/abs/math.SP/0411392
Title: Fine Structure of the Zeros of Orthogonal Polynomials, II.
OPUC With Competing Exponential Decay
Authors: Barry Simon
Comments: Keywords: orthogonal polynomials, Jacobi matrices, CMV
matrices
Subj-class: Spectral Theory
MSC-class: Primary 4C05; Secondary 47B36, 42C05
http://www.arxiv.org/abs/math.CA/0411476
Title: Symmetries of the m-hypergeometric system
Authors: Oleg Gleizer
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 33C20
http://www.arxiv.org/abs/math.CA/0411550
Title: Integral representation of some functions related to the Gamma
function
Authors: Christian Berg (University of Copenhagen)
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 33B15; 26A48
http://www.arxiv.org/abs/hep-th/0411044
Title: Jack superpolynomials: physical and combinatorial definitions
Authors: Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
Comments: 6 pages. To appear in the proceedings of the {\it XIII
International Colloquium on Integrable Systems and Quantum Groups},
Czech. J . Phys., June 17-19 2004, Doppler Institute, Czech
Technical University
Subj-class: High Energy Physics - Theory; Combinatorics; Mathematical
Physics
http://www.arxiv.org/abs/math-ph/0411054
Title: A relativistic model of the isotropic three-dimensional singular
oscillator
Authors: S.M. Nagiyev, E.I. Jafarov, R.M. Imanov, L. Homorodean
Comments: 11 pages, 6 figures, accepted for publication in Physics
Letters A
Subj-class: Mathematical Physics
MSC-class: 33C45; 33C90; 39A70
http://www.arxiv.org/abs/math-ph/0411076
Title: Square ice, alternating sign matrices and classical orthogonal
polynomials
Authors: F. Colomo, A. G. Pronko
Comments: v2: typos and some formulae in Sects. 5.1 and 5.2 corrected;
referencing improved
Subj-class: Mathematical Physics; Statistical Mechanics; Combinatorics
http://www.arxiv.org/abs/math-ph/0411079
Title: Some results on the eigenfunctions of the quantum trigonometric
Calogero-Sutherland model related to the Lie algebra E6
Authors: J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov
Comments: 17 pages, no figures
Subj-class: Mathematical Physics; Exactly Solvable and Integrable
Systems; Representation Theory
http://www.arxiv.org/abs/nlin.SI/0411003
Title: Point configurations, Cremona transformations and the elliptic
difference Painlev\'e equation
Authors: K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada
Comments: 29 pages
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry
http://www.arxiv.org/abs/hep-th/0411094
Title: Eight-vertex model and non-stationary Lame equation
Authors: Vladimir V. Bazhanov, Vladimir V. Mangazeev
Comments: 11 pages, LaTeX, minor misprints corrected, references added
Subj-class: High Energy Physics - Theory; Mathematical Physics; Exactly
Solvable and Integrable Systems
http://www.arxiv.org/abs/math.CO/0412015
Title: A note on two identities arising from enumeration of convex
polyominoes
Authors: Victor J. W. Guo, Jiang Zeng
Comments: 10 pages, to appear in J. Comput. Appl. Math; minor grammatical
changes
Subj-class: Combinatorics
MSC-class: 05A15; 05A19
http://www.arxiv.org/abs/math.CA/0412038
Title: An elliptic generalization of Schur's Pfaffian identity
Authors: Soichi Okada
Comments: 7 pages
Subj-class: Classical Analysis and ODEs; Combinatorics
MSC-class: 33E05 (primary), 05E05, 15A15 (secondary)
http://www.arxiv.org/abs/math.NT/0412065
Title: Hessian polyhedra, invariant theory and Appell hypergeometric
partial differential equations
Authors: Lei Yang
Comments: 114 pages
Subj-class: Number Theory; Algebraic Geometry
MSC-class: 11F22, 11F23, 11F55, 11G15, 11G30, 20F55, 33C65, 52Bxx
http://www.arxiv.org/abs/math.NT/0412067
Title: q-Analogues of the Barnes multiple zeta functions
Authors: Yoshinori Yamasaki
Comments: 10 pages
Subj-class: Number Theory
MSC-class: 11M41, 11M35
http://www.arxiv.org/abs/math.CA/0412080
Title: Noncommutative extensions of Ramanujan's 1-psi-1 summation
Authors: Michael Schlosser
Comments: 9 pages, prepared with LaTeX using SIAM's siamltex style file,
submitted to Proceedings of IWOP'04, special volume of ETNA
(Electronic Transactions on Numerical Analysis)
Subj-class: Classical Analysis and ODEs; Quantum Algebra
MSC-class: 33D15, 33D99
http://www.arxiv.org/abs/math.GM/0412087
Title: A New Integral Transform
Authors: B.G.Sidharth
Comments: 4 pages tex
Subj-class: General Mathematics
http://www.arxiv.org/abs/math.CO/0412153
Title: Well--Poised Macdonald Functions W_lambda and Jackson Coefficients
omega_lambda On BC_n
Authors: Hasan Coskun, Robert A. Gustafson
Comments: 29 pages
Subj-class: Combinatorics; Quantum Algebra
MSC-class: 33D67; 05E05
http://www.arxiv.org/abs/math.SP/0412336
Title: Fine structure of the zeros of orthogonal polynomials, III.
Periodic recursion coefficients
Authors: Barry Simon
Subj-class: Spectral Theory
MSC-class: Primary 26C10; Secondary 48J53, 35Q58
http://www.arxiv.org/abs/math.CO/0412339
Title: A Proof of the Zeilberger-Bressoud $q$-Dyson Theorem
Authors: Ira M. Gessel, Guoce Xin
Comments: 10 pages
Subj-class: Combinatorics; Commutative Algebra
MSC-class: 33D05; 05A30; 33D20
http://www.arxiv.org/abs/math.CA/0412340
Title: On powers of Stieltjes moment sequences, II
Authors: Christian Berg (University of Copenhagen)
Comments: preprint, 21 pages
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 44A60;33D65
http://www.arxiv.org/abs/math.CA/0412394
Title: Bi-orthogonal Polynomials on the Unit Circle, regular
semi-classical Weights and Integrable Systems
Authors: P.J. Forrester, N.S. Witte
Comments: This extends and supersedes math-ph/0308036
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 05E35; 39A05; 37F10; 33C45; 34M55
http://www.arxiv.org/abs/math.FA/0412528
Title: Orthogonal polynomials in several non-commuting variables. II
Authors: T. Banks, T. Constantinescu
Comments: 10 pages, 1figure
Subj-class: Functional Analysis; Combinatorics
http://www.arxiv.org/abs/math.CA/0412532
Title: Asymptotics of multivariate orthogonal polynomials with
hyperoctahedral symmetry
Authors: J.F. van Diejen
Comments: 13 pages, LaTeX
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 33D52; 41A60
http://www.arxiv.org/abs/math.QA/0412540
Title: A q-analog of the Racah polynomials and the q-algebra SUq(2)
Authors: R. Alvarez-Nodarse, Yu. F. Smirnov, R. S. Costas-Santos
Comments: 23 pages. LaTeX2e
Subj-class: Quantum Algebra
MSC-class: 33D80, 33D45
http://www.arxiv.org/abs/math-ph/0412025
Title: The Statistical Distribution of the Zeros of Random
Paraorthogonal Polynomials on the Unit Circle
Authors: Mihai Stoiciu
Comments: 39 pages, 2 figures
Subj-class: Mathematical Physics
MSC-class: 42C05; 82B44
http://www.arxiv.org/abs/math-ph/0412035
Title: Exact and quasi-exact solvability of two-dimensional
superintegrable quantum systems. I. Euclidean space
Authors: E. G. Kalnins, W. Miller Jr., G. S. Pogosyan
Comments: 36 pages
Subj-class: Mathematical Physics
MSC-class: 35Q40; 81Q05; 81R12
http://www.arxiv.org/abs/math-ph/0412039
Title: Lectures on Elliptic Functions and Modular Forms in Conformal
Field Theory
Authors: Nikolay M. Nikolov, Ivan T. Todorov
Comments: 87 pages, LaTex
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0412047
Title: Lax pairs for the Ablowitz-Ladik system via orthogonal
polynomials on the unit circle
Authors: Irina Nenciu
Comments: 38 pages
Subj-class: Mathematical Physics; Classical Analysis and ODEs; Exactly
Solvable and Integrable Systems
http://www.arxiv.org/abs/math-ph/0412065
Title: Discrete Painlev\'e equations for a class of \PVI
$\tau$-functions given as U(N) averages
Authors: P.J. Forrester, N.S. Witte
Comments: Companion work to CA/0412394
Subj-class: Mathematical Physics; Classical Analysis and ODEs
MSC-class: 33C45; 33E17; 15A52; 82B23
http://www.arxiv.org/abs/math-ph/0412083
Title: A class of identities relating Whittaker and Bessel functions
Authors: James Lucietti
Comments: 8 pages, latex
Subj-class: Mathematical Physics
Journal-ref: J. Math. Anal. Appl. 296 (2004) 1-7
http://www.arxiv.org/abs/nlin.SI/0411009
Title: Quasi-linear Stokes phenomenon for the Hastings-McLeod solution
of the second Painlev\'e equation
Authors: A. A. Kapaev
Comments: LaTeX2e, 22 pages
Subj-class: Exactly Solvable and Integrable Systems
http://www.arxiv.org/abs/hep-th/0411094
Title: Eight-vertex model and non-stationary Lame equation
Authors: Vladimir V. Bazhanov, Vladimir V. Mangazeev
Comments: 11 pages, LaTeX, minor misprints corrected, references added
Subj-class: High Energy Physics - Theory; Mathematical Physics; Exactly
Solvable and Integrable Systems
Topic #13 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
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 #14 --------- OP-SF NET 12.1 ----------- January 15, 2005
~~~~~~~~~~~~~~
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 12.2 should be sent by March 1, 2005.
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.
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
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
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
The elected Officers of the Activity Group (2005-2007) are:
Peter A. Clarkson, Chair
Daniel W. Lozier, Vice Chair
Javier Segura, Secretary
Peter A. McCoy, Program Director
The appointed officers are:
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o