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September 15, 2004
O P - S F N E T Volume 11, Number 5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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. Election of Officers for 2005-2007
2. Temme Conference on Special Functions: Asymptotic Analysis and
Computation
3. Sessions at Atlanta Joint Meetings
4. Davis Group on Hecke Algebras and Orthogonal Polynomials
5. New book by Gautschi on Orthogonal Polynomials
6. Prizes Awarded at SIAM Annual Meeting
7. James H. Wilkinson Prize - Call for Nominations
8. SIAG/DS Jurgen Moser Lecture - Call for Nominations
9. SIAG/DS J. D. Crawford Prize - Call for Nominations
10. Preprints in arXiv.org
11. About the Activity Group
12. Submitting contributions to OP-SF NET
Calendar of Events:
2004
November 7-9: CONSTRUCTIVE FUNCTIONS TECH-O4, Atlanta, Georgia, USA
10.5 #3
www.math.gatech.edu/news/conferences/at04/
2005
January 5-8: Joint Mathematics Meetings, Atlanta, Georgia,
USA, including two Special Sessions in orthogonal
polynomials and special functions 11.5 #3
http://www.ams.org/amsmtgs/2091_intro.html
July 4-6:
Special Functions: Asymptotic Analysis and Computation,
a Conference in honor of Nico Temme's 65th Birthday,
Santander, Spain 11.5 #2
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
2006
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
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 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: Dan Lozier
Subject: Election of Officers for 2005-2007
Officers of our activity group are elected for 3-year terms. The next
term begins on January 1. The election will be conducted by SIAM.
Recently SIAM announced it will begin electronic voting this fall, but
it will mail paper ballots to members who prefer them. If you wish to
receive a paper ballot, please contact SIAM.
The ballots will list one candidate for each office:
Chair: Peter Clarkson, University of Kent, England
Vice Chair: Dan Lozier, NIST, Gaithersburg, Maryland
Program Chair: Pete McCoy, US Naval Academy, Annapolis, Maryland
Secretary: Javier Segura, University of Cantabria, Spain
The ballots will also provide space for write-in votes.
The candidates listed on the ballot were selected by the Nominating
Committee, consisting of the current officers plus two members of the
activity group invited to serve by the SIAM President, James (Mac)
Hyman. The nominating committee members were Dan Lozier, Walter Van
Assche, Francisco (Paco) Marcellan, Peter Clarkson, Pete McCoy and
Javier Segura.
Topic #2 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Temme Conference on Special Functions: Asymptotic Analysis and
Computation
A Conference "Special Functions: Asymptotic Analysis and Computation",
will be held in Santander, Spain in the period July 4-6, 2005. The
following information is taken from the Conference web site:
http://www.sf05.unican.es/
The aim of this conference is to provide an opportunity for researchers
in the fields of the asymptotic analysis and the computation of special
functions to review past developments, discuss the impact and practical
relevance, and envision possible future directions.
The conference is organised in honor of the 65th birthday of
Nico M. Temme, who has made major contributions to these areas.
The provisional list of speakers includes:
Michael Berry (to be confirmed)
Kathy Driver
T.M. Dunster (to be confirmed)
Luigi Gatteschi
David Kaminski
Tom Koornwinder
Dan Lozier
Francesco Mainardi
Francisco Marcellan
Frank Olver (to be confirmed)
Richard Paris
Jesús Sánchez-Dehesa
Javier Sesma
The Organizing Committee consists of:
Amparo Gil (U. Cantabria, Spain)
José Luis López (U. Pública de Navarra, Spain)
Pete McCoy (USNA, USA)
Adri Olde Daalhuis (U. Edinburgh, UK)
Javier Segura (U. Cantabria, Spain)
The Conference is sponsored by the SIAM Activity Group on Orthogonal
Polynomials and Special Functions.
A Call for Papers and Registration information will be forthcoming.
The contact E-mail address is: sf05@unican.es
Topic #3 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Sessions at Atlanta Joint Meetings
The Joint Mathematics Meetings to be held in Atlanta, Georgia, USA,
in the period January 5-8, 2005 include two Special Sessions in the
areas of orthogonal polynomials and special functions:
(1) AMS-SIAM Special Session on Orthogonal Polynomials---Random
Matrices---Integrable Systems: Interdisciplinary Aspects
organized by
Jinho Baik, University of Michigan,
Steven B. Damelin, Georgia Southern University and
Peter D. Miller, University of Michigan.
This session is scheduled for
Thursday January 6, 2005, 8:00 a.m.-11:50 a.m. and 1:00 p.m.-3:50 p.m.
2) AMS-SIAM Special Session on Integrable Systems and Special Functions
organized by
Andras Balogh, University of Texas-Pan American,
Mourad E. H. Ismail, University of Central Florida,
Wen-Xiu Ma, University of South Florida and
Zhijun Qiao, Los Alamos National Laboratory.
This session is scheduled for
Friday January 7, 2005, 8:00 a.m.-10:50 a.m. and for
Saturday January 8, 2005, 8:00 a.m.-10:50 a.m. and 1:00 p.m.-5:50 p.m.
More information on the Joint Meetings is available at
http://www.ams.org/amsmtgs/2091_intro.html
Topic #4 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Davis Group on Hecke Algebras and Orthogonal Polynomials
The following information on the Research Focus Group in "Hecke Algebras
and Orthogonal Polynomials" at the University of California, Davis is
taken from their web site at
http://www.math.ucdavis.edu/~vazirani/RFG/rfg.html
[From the "research" link:]
Both Hecke algebras and orthogonal polynomials are a rich source of
combinatorics. Furthermore, the relationship between the two topics is
deep and interesting and has led to exciting results in current research.
Orthogonal polynomials and special functions have applications to many
areas, such as quantum integrable systems, harmonic analysis of simple
Lie groups,
The general theme of the RFG is to introduce students to areas of research
available in the department, such as orthogonal polynomials, elliptic
hypergeometric functions, symmetric functions, Coxeter groups,
combinatorics, the representation theory of Hecke algebras,
Kazhdan-Lusztig theory, crystal base theory, and applications in physics.
One quarter will be spent studying Hecke algebras, another studying
orthogonal polynomials, and another developing the connections between
the two topics. While some connections will be pointed out along the
way, students and faculty could easily participate in the second
quarter's activities without having been involved in those of the first
quarter.
In the reading seminar we expect active participation by students who
will take turns to present chapters of the books or articles of common
interest. In addition we expect the students with combinatorial
interest to participate in the Bay Area Discrete Math day in October of
2004 and March 2005.
Suggested books and papers include:
Macdonald "Symmetric functions and orthogonal polynomials,"
Szego "Orthogonal Polynomials,"
Andrews, Askey, Roy "Special functions,"
Koornwinder "Askey-Wilson polynomials for root systems of type BC,"
pp. 189-204 in Contemp. Math., 138, Amer. Math. Soc.
Kirillov "Lectures on affine Hecke algebras and Macdonald's
conjectures,"
Kazhdan and Lusztig, "Representations of Coxeter groups and Hecke
algebras."
Topic #5 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: New book by Gautschi on Orthogonal Polynomials
The following is from web sites linked to
http://www.us.oup.com/
Orthogonal Polynomials: Computation and Approximation
Walter Gautschi
ISBN: 0198506724, hardback, 312 pages
Publisher: Oxford University Press
Series: Numerical Mathematics and Scientific Computation
Description
This is the first book on constructive methods for, and applications of
orthogonal polynomials, and the first available collection of relevant
Matlab codes. The book begins with a concise introduction to the theory
of polynomials orthogonal on the real line (or a portion thereof),
relative to a positive measure of integration. Topics which are
particularly relevant to computation are emphasized. The second chapter
develops computational methods for generating the coefficients in the
basic three-term recurrence relation. The methods are of two kinds:
moment-based methods and discretization methods. The former are provided
with a detailed sensitivity analysis. Other topics addressed concern
Cauchy integrals of orthogonal polynomials and their computation, a new
discussion of modification algorithms, and the generation of Sobolev
orthogonal polynomials. The final chapter deals with selected
applications: the numerical evaluation of integrals, especially by
Gauss-type quadrature methods, polynomial least squares approximation,
moment-preserving spline approximation, and the summation of slowly
convergent series. Detailed historic and bibliographic notes are
appended to each chapter. The book will be of interest not only to
mathematicians and numerical analysts, but also to a wide clientele of
scientists and engineers who perceive a need for applying orthogonal
polynomials.
Contents
1. Basic Theory
1.1 Orthogonal polynomials
1.2 Properties of orthogonal polynomials
1.3 Three-term recurrence relation
1.4 Quadrature rules
1.5 Classical orthogonal polynomials
1.6 Kernel polynomials
1.7 Sobolev orthogonal polynomials
1.8 Orthogonal polynomials on the semicircle
1.9 Notes to chapter 1
2. Computational Methods
2.1 Moment-based methods
2.2 Discretization methods
2.3 Computing Cauchy integrals of orthogonal polynomials
2.4 Modification algorithms
2.5 Computing Sobolev orthogonal polynomials
2.6 Notes to chapter 2
3. Applications
3.1 Quadrature
3.2 Least squares approximation
3.3 Moment-preserving spline approximation
3.4 Slowly convergent series
3.5 Notes to chapter 3
Topic #6 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: A. G. Bogardo
Subject: Prizes Awarded at SIAM Annual Meeting
Following are the recipients of prizes awarded at the SIAM Annual
Meeting held July 2004 in Portland. For further details on these awards,
please visit
http://www.siam.org/prizes/an04booklet.htm.
I. E. Block Community Lecture, intended to encourage public appreciation
of the excitement and vitality of applied mathematics:
Michael B. Ray
ExxonMobil Upstream Research Company
Richard C. DiPrima Prize, awarded to a young scientist who has done
outstanding research in applied mathematics, based on the doctoral
dissertation:
Diego Dominici
SUNY-New Paltz
AWM-SIAM Sonia Kovalevsky Lecture, intended to highlight significant
contributions of women to applied or computational mathematics:
Joyce R. McLaughlin
Rensselaer Polytechnic Institute
SIAM Outstanding Paper Prizes, awarded for three outstanding papers
published in SIAM journals during the three years prior to the award:
Gerard Cornuejols (Carnegie Mellon University) and
Bertrand Guenin (University of Waterloo, Canada)
Feimin Huang (Academia Sinica, Beijing, China) and
Zehn Wang (University of Hong Kong, China)
Alfio Quarteroni (Politecnico di Milano, Italy),
Alessandro Veneziani (EPFL, Switzerland and Politecnico di
Milano), and Paolo Zunino (EPFL, Switzerland)
George Polya Prize, awarded for a notable application of combinatorial
theory:
Neil Robertson
The Ohio State University
Paul Seymour
Princeton University
W. T. and Idalia Reid Prize in Mathematics, for outstanding work in, or
other contributions to, the broadly defined areas of differential
equations and control theory:
Arthur J. Krener
University of California, Davis
SIAM Award in the Mathematical Contest in Modeling (MCM), awarded to two
of the teams judged "Outstanding" in the annual MCM:
Steven Avery, Eric Harley, Eric Malm
(Faculty Advisor: Jon T. Jacobsen)
Harvey Mudd College
Moorea Brega, Alejandro Cantarero, Corry Lee
(Faculty Advisor: Bengt Fornberg)
University of Colorado at Boulder
SIAM Prize for Distinguished Service to the Profession, awarded to an
applied mathematician who has made distinguished contributions to the
furtherance of applied mathematics on the national level:
Richard A. Tapia
Rice University
SIAM Student Paper Prizes, awarded to the student authors of the most
outstanding papers submitted to the SIAM Student Paper Competition:
Silas D. Alben, Courant Institute of Mathematical Sciences, New
York University
Alfonso Bueno Orovio, University of Castilla-La Mancha
Martin Kleinsteuber, University of Wuerzburg
Theodore von Karman Prize, awarded for a notable application of
mathematics to mechanics and/or the engineering sciences:
Roland Glowinski
University of Houston
The John von Neumann Lecture, awarded to a mathematician (or to a
scientist in another field) who has made distinguished contributions to
pure and/or applied mathematics:
Alan C. Newell
University of Arizona
Topic #7 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: James H. Wilkinson Prize - Call for Nominations
CALL FOR NOMINATIONS
The James H. Wilkinson Prize in Numerical Analysis and Scientific
Computing
The James H. Wilkinson Prize will be awarded at the 2005 SIAM Annual
Meeting to be held July 11-15, 2005, in New Orleans, Louisiana.
The prize, established in 1979, is awarded every four years for research
in, or other contributions to, numerical analysis and scientific
computing during the six years preceding the award. The purpose of the
prize is to stimulate younger contributors and to help them in their
careers.
Description of the Award
The award will include a cash prize of $1,000 and a certificate
containing the citation. The recipient will be requested to present a
lecture as part of the prize ceremony. SIAM will reimburse travel
expenses to attend the award ceremony and give the lecture.
Nominations
A letter of nomination, including a description of the contribution(s),
should be sent by December 31, 2004, to:
Wilkinson Prize Selection Committee
Professor Thomas Y. Hou, Chair
c/o J. M. Littleton
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
E-mail: littleton@siam.org
Phone: 215-382-9800
Fax: 215-386-7999
Selection Committee
Members of the selection committee are: Thomas Y. Hou (Chair),
California Institute of Technology; Clint Dawson, University of Texas at
Austin; and Howard Elman, University of Maryland at College Park.
Topic #8 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: SIAG/DS Jurgen Moser Lecture - Call for Nominations
CALL FOR NOMINATIONS
SIAM Activity Group on Dynamical Systems Jurgen Moser Lecture
The SIAG/DS Moser Lecture
The SIAM Activity Group on Dynamical Systems will present the award at
the SIAM Conference on Applications of Dynamical Systems at Snowbird,
May 22-27, 2005. The prize is awarded to a person who has made
distinguished contributions to nonlinear science. The term "nonlinear
science" includes dynamical systems theory and its applications, as well
as experiments and computations/simulations.
Description of the Award
The award will consist of a plaque, a certificate containing the
citation, the invitation to give a plenary lecture at the conference,
and a cash award of $500. SIAM will reimburse the lecturer's travel
expenses to attend the conference.
Nominations
Nominations should be sent by January 15, 2005, to:
Jurgen Moser Lecture Selection Committee
Professor Mark Levi, 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: Mark Levi (Chair), Pennsylvania
State University; G. Bard Ermentrout, University of Pittsburgh; Jerrold
E. Marsden, California Institute of Technology; David Ruelle, IHES,
France; C. Eugene Wayne, Boston University.
Topic #9 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: SIAG/DS J. D. Crawford Prize - Call for Nominations
CALL FOR NOMINATIONS
SIAM Activity Group on Dynamical Systems J. D. Crawford Prize
The SIAG/DS Crawford Prize
The SIAM Activity Group on Dynamical Systems will present the award at
the SIAM Conference on Applications of Dynamical Systems at Snowbird,
May 22-27, 2005. The prize is awarded for recent outstanding work on a
topic in dynamical systems and nonlinear science, as evidenced by a
publication in English in a peer-reviewed journal within the four
calendar years preceding the award date.
Eligibility
The research of the candidate must contain significant contributions to
the field of nonlinear science, as evidenced by papers published in
English in a peer-reviewed journal bearing a publication date within the
award period.
Description of the Award
The award will consist of a plaque, a certificate containing the
citation, and a cash award of $750. SIAM will reimburse the lecturer's
travel expenses to attend the conference.
Nominations
Nominations should be sent by January 15, 2005, to:
J. D. Crawford Prize Selection Committee
Dr. Edgar Knobloch, 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: Edgar Knobloch (Chair),
University of Leeds, UK; Yannis Kevrekidis, Princeton University;
Kenneth Showalter, West Virginia University; Andrew Stuart, University
of Warwick, UK; and Marcelo Viana, Instituto Nacional de Matematica Pura
e Aplicada (IMPA), Brazil.
Topic #10 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
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/0407001
Title: An Explicit Formula for Restricted Partition Function through
Bernoulli Polynomials
Authors: Boris Y. Rubinstein
Comments: 8 pages, submitted to The Ramanujan Journal
Subj-class: Number Theory
MSC-class: 11P81
http://www.arxiv.org/abs/math.QA/0407044
Title: Nonsymmetric Macdonald polynomials and matrix coefficients for
unramified principal series representations
Authors: Bogdan Ion
Comments: 24 pg
Subj-class: Quantum Algebra; Representation Theory
http://www.arxiv.org/abs/math.QA/0407078
Title: The q-binomial formula and the Rogers dilogarithm identity
Authors: R. M. Kashaev
Comments: 6 pages, no figures
Subj-class: Quantum Algebra
MSC-class: 33D15
http://www.arxiv.org/abs/math.PR/0407098
Title: Analytic Urns
Authors: Philippe Flajolet, Joaquim Gabarró, Helmut Pekari
Comments: 30 pages, 7 figures; to appear in Annals of Probability
Subj-class: Probability; Combinatorics
MSC-class: 60C05; 33E05; 41A60; 60K99; 60Fxx
http://www.arxiv.org/abs/math.CO/0407105
Title: Identities for Fibonacci and Lucas polynomials derived from a
book of Gould
Authors: Mario Catalani
Subj-class: Combinatorics
MSC-class: 11B39
http://www.arxiv.org/abs/math.NT/0407191
Title: Approximants de Pad\'e des $q$-polylogarithmes
Authors: Christian Krattenthaler (Université Lyon-I), Tanguy Rivoal
(CNRS, Université de Caen)
Comments: 10 pages, AmS-LaTeX
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: Primary 41A21; Secondary 33D15
http://www.arxiv.org/abs/math.CA/0407265
Title: Degenerate Gauss hypergeometric functions
Authors: Raimundas Vidunas
Comments: 22 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33C05
http://www.arxiv.org/abs/math.NT/0407363
Title: New identities involving Bernoulli and Euler polynomials
Authors: Hao Pan, Zhi-Wei Sun
Comments: 13 pages, more readable version
Subj-class: Number Theory; Combinatorics
MSC-class: 11B68; 05A19
http://www.arxiv.org/abs/math.QA/0407372
Title: Principle subspace for bosonic vertex operator
$\phi_{\sqrt{2m}}(z)$ and Jack polynomials
Authors: B.Feigin, E.Feigin
Comments: 16 pages
Subj-class: Quantum Algebra; Representation Theory
MSC-class: 17B69; 81R10
http://www.arxiv.org/abs/math.CA/0407432
Title: The Dirichlet Boundary Value Problem for Real Solutions of the
first Painlev\'e Equation on Segments on Non-Positive Semi-Axis
Authors: N. Joshi, A. V. Kitaev
Comments: To appear in Journal fur die reine und angewandte Mathematik
(Crelle's Journal)
Subj-class: Classical Analysis and ODEs; Mathematical Physics; Exactly
Solvable and Integrable Systems
MSC-class: 33E17;34M55;34B15
http://www.arxiv.org/abs/math.CA/0407447
Title: Second order difference equations and discrete orthogonal
polynomials of two variables
Authors: Yuan Xu
Comments: 19 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05, 33C45
http://www.arxiv.org/abs/hep-th/0407155
Title: Equilibria of `Discrete' Integrable Systems and Deformations of
Classical Orthogonal Polynomials
Authors: S. Odake, R. Sasaki
Comments: 45 pages. A few typos in section 6 are corrected
Subj-class: High Energy Physics - Theory; Quantum Algebra
http://www.arxiv.org/abs/math-ph/0407033
Title: Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville
Problems
Authors: M. E. H. Ismail, S. S. Lin, S. S. Roan
Comments: Latex 23 pages
Subj-class: Mathematical Physics; Quantum Algebra
MSC-class: 33C45, 33D45, 39A13
http://www.arxiv.org/abs/math-ph/0407044
Title: Explicit representations of Pollaczek polynomials corresponding
to an exactly solvable discretisation of hydrogen radial Schr\"odinger
equation
Authors: M. Aunola
Comments: 7 pages, no figures, uses iopart.cls
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0407050
Title: An explicit solution of the (quantum) elliptic
Calogero-Sutherland model
Authors: Edwin Langmann
Comments: 16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia,
Italy)
Subj-class: Mathematical Physics; Exactly Solvable and Integrable
Systems
MSC-class: 35Q58, 81Q05
http://www.arxiv.org/abs/math-ph/0407065
Title: Averages of Characteristic Polynomials in Random Matrix Theory
Authors: A. Borodin, E. Strahov
Subj-class: Mathematical Physics; Classical Analysis and ODEs
http://www.arxiv.org/abs/math.CA/0408019
Title: On polynomials orthogonal to all powers of a given polynomial on
a segment
Authors: Fedor Pakovich
Comments: 27 pages, 9 figures
Subj-class: Classical Analysis and ODEs; Complex Variables
http://www.arxiv.org/abs/math.NT/0408022
Title: The moments of the Riemann zeta-function. Part I: The fourth
moment off the critical line
Authors: Aleksandar Ivi\'c, Yoichi Motohashi
Comments: 50 pages
Subj-class: Number Theory
MSC-class: 11M06; 11F72, 11F66
http://www.arxiv.org/abs/math.NT/0408223
Title: New identities involving Bernoulli and Euler polynomials. II
Authors: Zhi-Wei Sun, Hao Pan
Comments: 10 pages; (3) has a new form, Lemma 2 is added
Subj-class: Number Theory; Combinatorics
MSC-class: 11B68; 05A19
http://www.arxiv.org/abs/math.CA/0408269
Title: Algebraic transformations of Gauss hypergeometric functions
Authors: Raimundas Vidunas
Comments: 24 pages; 3 tables
Subj-class: Classical Analysis and ODEs
MSC-class: 33C05; 34A30
http://www.arxiv.org/abs/math.CA/0408317
Title: The 192 Solutions of the Heun Equation
Authors: Robert S. Maier
Comments: 31 pages, no figures
Subj-class: Classical Analysis and ODEs
MSC-class: 33E30; 33-04, 34M15, 33C05, 20F55
http://www.arxiv.org/abs/math.CA/0408366
Title: A multiparameter summation formula for theta functions
Authors: V.P. Spiridonov
Comments: 8 pages; to appear in Proc. of the Workshop on Jack,
Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003)
Subj-class: Classical Analysis and ODEs; Algebraic Geometry
MSC-class: 33E20; 14H42
http://www.arxiv.org/abs/math.CA/0408369
Title: Short proofs of the elliptic beta integrals
Authors: V.P. Spiridonov
Comments: 15 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33Dxx, 33E20, 39A13
http://www.arxiv.org/abs/math.QA/0408390
Title: Two linear transformations each tridiagonal with respect to an
eigenbasis of the other; an algebraic approach to the Askey scheme of
orthogonal polynomials
Authors: Paul Terwilliger
Comments: 74 pages. Lecture notes for the summer school on orthogonal
polynomials and special functions, Universidad Carlos III de Madrid,
Leganes, Spain. July 8--July 18, 2004. For more information see
http://www.uc3m.es/uc3m/dpto/MATEM/summerschool/indice.html
Subj-class: Quantum Algebra; Mathematical Physics
MSC-class: 17B37
http://www.arxiv.org/abs/math-ph/0408015
Title: A hyper-geometric approach to the BMV-conjecture
Authors: Michael Drmota, Walter Schachermayer, Josef Teichmann
Subj-class: Mathematical Physics; General Mathematics
http://www.arxiv.org/abs/math-ph/0408036
Title: Convergence acceleration of series through a variational approach
Authors: Paolo Amore (Universidad de Colima)
Comments: 14 pages, 8 figures
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0408046
Title: Canonical representation of spherical functions: Sylvester's
theorem, Maxwell's multipoles and Majorana's sphere
Authors: M. R. Dennis
Comments: 16 pages, no figs
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/nlin.SI/0408009
Title: Open circular billiards and the Riemann hypothesis
Authors: L. A. Bunimovich (Georgia Tech), C. P. Dettmann (University of
Bristol)
Comments: 5 pages, 4 embedded postscript figures
Subj-class: Exactly Solvable and Integrable Systems; Mathematical
Physics; Number Theory
http://www.arxiv.org/abs/nlin.SI/0408060
Title: Toda equation and special polynomials associated with the Garnier
system
Authors: Teruhisa Tsuda
Comments: 26 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #11 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
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 #12 --------- OP-SF NET 11.5 ---------- September 15, 2004
~~~~~~~~~~~~~~
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 11.6 should be sent by November 1, 2004.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
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Send submissions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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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