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January 15, 2006
O P - S F N E T Volume 13, Number 1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editors:
Diego Dominici dominicd@newpaltz.edu
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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Today's Topics:
1. Message from the Chair
2. Conference on Approximation and Optimization in the Caribbean
3. Minisymposium at Boston meeting
4. Madrid conference on Constructive Approximation Theory
5. SimonFest (reminder)
6. Vadim Kuznetsov
7. Math on the Web and DLMF
8. SIAM Student Paper Prize - call for submissions
9. Preprints in arXiv.org
10. About the Activity Group
11. Submitting contributions to OP-SF NET
Calendar of Events:
2006
March 27-31: Spectral Theory and Mathematical Physics,
A Conference in Honor of Barry Simon's 60th Birthday,
Pasadena, California, USA 12.2, #2
http://www.math.caltech.edu/simonfest.html
April 3-7: 8th International Conference on Approximation and
Optimization in the Caribbean, Santo Domingo, Dominican
Republic 13.1, #2
http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html
April 8-9: American Mathematical Society Central Section Meeting,
including Special Session on Special Functions and Orthogonal
Polynomials, Notre Dame, Indiana, USA 12.6, #2
http://www.ams.org/amsmtgs/2130_program.html
May 6-11: International Conference on Fourier and Complex Analysis:
Classical Problems - Current View, Protaras, Cyprus
12.4, #1; 12.6 #4
http://www.ucy.ac.cy/~cfca/
June 19-23: FPSAC '06 - 18th Annual International Conference on
Formal Power Series and Algebraic Combinatorics, San Diego,
California, USA 12.6. #3
http://garsia.math.yorku.ca/fpsac06/
July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA
including Minisymposium on Computation and Application of Special
Functions in Scientific Computing 13.1, #3
http://www.siam.org/meetings/an06/index.php
July 10-14: Symmetries and Integrability of Difference Equations 7,
Melbourne, Australia
http://www.physics.utu.fi/theory/SIDE/
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
August 30 - September 1
New Trends in Constructive Approximation Theory, Universidad Carlos III
de Madrid, Spain 13.1, #4
September 4-29: Short programme "The Painleve Equations and Monodromy
Problems", Newton Institute. Cambridge, UK
http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3 #2
September (exact date to be announced): AMADE 2006, Minsk, Belarus
http://www.amade-bsu.com/ 12.3 #3
2007
July (dates to be announced): OPSFA - Orthogonal Polynomials, Special
Functions and their Applications, Marseille, France
Topic #1 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Peter Clarkson
Subject: Message from the Chair
Welcome to the first SIAM Activity Group on Orthogonal Polynomials and
Special Functions newsletter of 2006. This year the newsletter is edited
by Diego Dominici and Martin Muldoon. Many thanks to them for providing
the invaluable service to the OPSF Activity Group.
This year the SIAM Annual Meeting is to be held in Boston,
Massachusetts, USA during the week July 10-14. Vadim Olshevsky
(University of Connecticut) is to give a topical lecture related to
"Orthogonal Polynomials". Further, as mentioned elsewhere in this
newsletter, Pete McCoy and Dan Lozier have submitted a proposal for a
Minisymposium on Computation and Application of Special Functions in
Scientific Computing during the Annual Meeting with talks by Annie Cuyt
(University of Antwerp), Lothar Reichel (Kent State University), Lee Van
Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA Newport)
and Diego Dominici (State University of New York at New Paltz). Many
thanks to Pete and Dan for organizing this.
I look forward to meeting members of the Activity group at various
conferences during this coming year.
Topic #2 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Paco Marcellan
Subject: Conference on Approximation and Optimization in the Caribbean
>From April 3-7, 2006, the 8th International Conference on Approximation
and Optimization in the Caribbean will be held in Santo Domingo,
Dominican Republic. For registration and General Information contact
Professor Dr. Rene Piedra rpiedra@pucmm.edu.do
Editors' Note: The further information below is from
http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html
Location: Universidad Autonoma de Santo Domingo (UASD), Dominican
Republic.
Description: This is the first announcement and call for papers. The
deadline for submitting papers is January 30th. We are inviting
lectures, tutorials, mini-symposia, and contributed talks on the
following topics: Approximation: Wavelets, polynomial and rational
approximation, splines, orthogonal polynomials, interpolation,
asymptotic analysis, radial basis function. Optimization: Continuous and
discrete optimization, parametric, stochastic and global optimization,
nonlinear equations and inequalities, non- smooth analysis, critical
point theory, control theory. Mathematical economics: fixed point theory,
equilibria of competitive economics, portfolio problems, cooperative and
noncooperative games. Applications: engineering and energy models,
robotics, pattern recognition, image restoration, applications in
biology, economy and sciences.
Organizers: Juergen Guddat, Humboldt-University, Berlin Institute of
Mathematics, Unter den Linden 6, D-10099 Berlin, Germany; e-mail:
guddat@mathematik.hu-berlin.de; Amado Reyes, Universidad Autonoma de
Santo Domingo, Ciudad Universitaria, Departamento de Matematica,
Facultad de Ciencias, Santo Domingo, Dominican Republic. Phone:
(809)732-2575, Fax (809)732-2556; e-mail: sunlandamado@verizon.net.do
Topic #3 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Pete McCoy
Subject: Minisymposium at Boston meeting
Dan Lozier and I have proposed a Minisymposium on "Computation and
Application of Special Functions in Scientific Computing" for the SIAM
Annual Meeting in Boston, July 10-14, 2006.
Speaker and Titles:
"Reliable multiprecision implementation of a class of special
functions", Annie Cuyt (University of Antwerp)
"Orthogonal polynomials and Gaussian quadrature applied to the solution
of large-scale ill-posed problems", Lothar Reichel (Kent State
University)
"Improved calculation of Mathieu functions of integer order with
application to acoustic radiation from pistons on an elliptic cylinder",
Lee Van Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA
Newport)
"Asymptotic analysis of the higher derivatives of the inverse of the
error function", Diego Dominici (State University of New York at New
Paltz)
Topic #4 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Paco Marcellan
Subject: Madrid conference on Constructive Approximation Theory
We have applied for a Satellite Meeting in Madrid on the occasion of
ICM2006. The answer from the organizers of ICM will arrive at the end of
January. In any case, we will go ahead with it. Thus some members of
our SIAG attending the ICM can have the opportunity to remain in Madrid
for three extra days of interesting activity. The basic information is:
Title: New Trends in Constructive Approximation Theory
Dates: August 30-31, September 1, 2006.
Location: Universidad Carlos III de Madrid
Local Organizing Committee.
G. Lopez Lagomasino, F. Marcellan, J. Arvesu, R.Costas, J. Sanchez
(Universidad Carlos III de Madrid), W. Van Assche (Katholieke
Universiteit Leuven).
Coordinator:
F. Marcellan
Departamento de Matematicas.
Universidad Carlos III de Madrid.
Avenida de la Universidad 30
28911 Leganos, Spain
pacomarc@ing.uc3m.es
Invited Speakers. (One hour talks)
P. Deift, Courant Institute, New York University, USA.
B. Simon, California Institute of Technology, USA.
A. Grunbaum, University of California, Berkeley, USA.
S. Khruschev, Atilim University, Ankara, Turkey.
M. E. H. Ismail, University of Central Florida, USA.
A. B. Kuijlaars, Katholieke Universiteit Leuven, Belgium.
The aim of this meeting is to present the state of the art as well as
new trends in Constructive Approximation with the participation of 7
leading researchers in the subject. We expect the participation
of other specialists in the subject as well as young researchers (half
hour talks) but with a limit of 60 people. We will focus our
attention on several topics related to rational and polynomial
approximation, spectral theory of differential operators, inverse
problems, analytic properties of orthogonal polynomials and their
applications in integrable and dynamical systems.
Topics to be covered: Riemann-Hilbert approach to asymptotics of
orthogonal polynomials, inverse problems and rational approximation,
spectral theory of banded and differential operators, numerical analysis
and rational approximation, integrable non linear dynamical systems,
eigenvalues of random matrices, non-standard orthogonal polynomials.
More information about the meeting (accommodation, registration fees,
and scientific program will be available from February 15, 2006. For
more information please contact F. Marcellan (pacomarc@ing.uc3m.es)
Topic #5 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Cherie Galvez
Subject: SimonFest (reminder)
Spectral Theory and Mathematical Physics
A Conference in Honor of Barry Simon's 60th Birthday
Monday, March 27 to Friday, March 31, 2006
http://www.math.caltech.edu/mp2006conf.html
Lectures at the conference will present mainly surveys of areas
reflecting Barry Simon's scientific interests over the years in
Mathematical Physics and Analysis.
>From the conference home page one can go to a list of speakers and the
schedule of their talks.
Online registration for this event is open. Payments of registration and
the banquet can be made by check or credit card. To register, go to
http://www.math.caltech.edu/simonfest/registration.html
Information about the program, lodging, transport and directions to
Caltech, financial support, etc., can be found at
http://www.math.caltech.edu/mp2006conf.html
Please feel free to contact
Cherie Galvez
and
Fritz Gesztesy
with any further questions about the conference.
Fritz Gesztesy
On behalf of the Organizing Committee
Topic #6 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Vadim Kuznetsov
Vadim B. Kuznetsov (University of Leeds, UK) died suddenly and
unexpectedly on 16 December 2005. He was an expert in the field of
Integrable Systems. MathSciNet lists 45 publications of his, over the
period 1987-2004. Among these there are 13 which have Primary/Secondary
MSC number 33. He became best known in special functions by a series of
papers together with E.K. Sklyanin on application of the technique of
separation of variables in quantum integrable systems in order to obtain
an integral transform mapping n-variable Macdonald (or Jack) polynomials
to a product of n one-variable functions, and vice versa.
Vadim Kuznetsov studied and graduated in Leningrad (now St. Petersburg).
In 1993 he came to Amsterdam for a two-year postdoc position with me.
After further postdoc positions in Denmark and Canada he settled in Leeds,
first in temporary positions obtained by successful grant applications,
and eventually in a tenured position as a Reader in Applied Analysis.
Vadim was always very kind and enthusiastic. He had 21 coauthors. He was
very active in organizing meetings, of which two Proceedings edited by him
have appeared. A third volume, the Proceedings of the Workshop on Jack,
Hall-Littlewood and Macdonald polynomials (Edinburgh, 23-26 September
2003), to be coedited with Siddharta Sahi, should appear soon in the AMS
series Contemporary Mathematics.
Vadim is survived by his wife, Olga, and son, Simon.
Links:
A short obituary provided by the University of Leeds appears at
http://campus.leeds.ac.uk/newsincludes/newsitem3495.htm
There is a photo of Vadim lecturing during the Workshop on Special
Functions, Representation Theory and Applications, Amsterdam, 25-27 August
2003 at
http://www.science.uva.nl/~thk/pictures/03-08Asd/PvEB/PvEB-Pages/Image34.html
Topic #7 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Pete McCoy
Subject: Math on the Web and DLMF
Our Activity Group Vice Chair Dr. Daniel W. Lozier of the National
Institute of Standards and Technology lectured on "Math on the Web and the
Digital Library of Mathematical Functions Project" at the Fall Meeting of
the Washington-Baltimore Section of SIAM held at Johns Hopkins University
on November 9, 2005.
Powerpoint slides from the talk are accessible at
http://math.nist.gov/~lozier/talks/.
Peter McCoy
President, Washington-Baltimore Section of SIAM
Topic #8 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: J. M. Littleton
Subject: SIAM Student Paper Prize - call for submissions
The 2006 SIAM STUDENT PAPER PRIZE will be presented at the 2006 SIAM
Annual Meeting scheduled for July 10-14, 2006, in Boston, Massachusetts.
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 prize. The purpose of the Student Paper
Prize is to recognize outstanding scholarship by students in applied
mathematics or computing.
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.
Eligibility is restricted to students in good standing who do not yet
hold the degree of PhD on the application deadline. Papers entered in
the competition must have already been submitted for publication.
Submissions may be based on co-authored papers.
To enter the competition, a student must submit:
(1) an extended abstract, in English, of the paper. The total length of
the submitted abstract (including bibliography) may not exceed five
pages.
(2) a short vita (at most 2 pages).
(3) the complete paper.
(4) proof that the paper has been submitted for publication.
If a paper is co-authored, each PhD-holding co-author must write a
letter attesting to the student's (students') pivotal role and
contributions to the results.
The student's (students') advisor also must submit a letter that:
* describes and evaluates the paper's contribution to the literature
and the student's (students') contribution to the paper.
* verifies that the student (students) meets the conditions of
eligibility for the award.
All papers and accompanying documentation must be received at the SIAM
office on or before February 15, 2006.
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: +1-215-382-9800, ext. 303
E-mail: littleton@siam.org
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.
The members of the selection committee are: William L. Briggs (Chair),
University of Colorado at Denver; Juergen Gerlach, Radford University;
Maeve L. McCarthy, Murray State University.
Topic #9 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Preprints in arXiv.org
The following preprints related to the fields of orthogonal polynomials
and special functions were posted or cross-listed to one of the
subcategories of arXiv.org during November and December 2005. 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
Particular attention is directed to some review or expository papers:
on q-special functions, by Tom Koornwinder
http://www.arxiv.org/abs/math.CA/0511148
on orthogonal polynomials by Vilmos Totik
http://www.arxiv.org/abs/math.CA/0512424
and on electrostatic models for zeros of polynomials
by F. Marcellan, A. Martinez-Finkelshtein, and P. Martinez-Gonzalez
http://www.arxiv.org/abs/math.CA/0512293
http://www.arxiv.org/abs/math.CA/0511074
Title: Asymptotic Approximations to Truncation Errors of Series
Representations for Special Functions
Authors: Ernst Joachim Weniger
Comments: 20 pages, LaTeX2e, 0 figures
Subj-class: Classical Analysis and ODEs
MSC-class: 11M06, 33C05, 33C70
http://www.arxiv.org/abs/math.NT/0511092
Title: A note on S(T) and the zeros of the Riemann zeta-function
Authors: D. A. Goldston, S. M. Gonek
Comments: 5 pages
Subj-class: Number Theory
MSC-class: 11M26
http://www.arxiv.org/abs/math.NT/0511130
Title: On the q-Analogue of Gamma Functions and Related Inequalities
Authors: Taekyun Kim, C. Adiga
Comments: 5 pages
Subj-class: Number Theory
MSC-class: 33B15
Journal-ref: Jounal of Inequalities in Pure and Applied Mathematics
Vol 6(2005), p. 1-5
http://www.arxiv.org/abs/math.NT/0511131
Title: A note on q-analogue of Sandor's functions
Authors: Taekyun Kim, C. Adiga, Hung Hun Han
Comments: 8 pages
Subj-class: Number Theory
MSC-class: 33D05, 40A05
http://www.arxiv.org/abs/math.QA/0511138
Title: The Differential equation for Jacobi-Pineiro polynomials
Authors: E.Mukhin, A.Varchenko
Comments: 4 pages
Subj-class: Quantum Algebra
http://www.arxiv.org/abs/math.CA/0511148
Title: q-Special functions, an overview
Authors: Tom H. Koornwinder
Comments: 23 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33Dxx
http://www.arxiv.org/abs/math.CA/0511149
Title: Quadratic Transformations of the Sixth Painleve' Equation
Authors: Raimundas Vidunas, Alexander V. Kitaev
Comments: 22 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55, 33E17
http://www.arxiv.org/abs/math.NT/0511182
Title: A Hybrid Euler-Hadamard product formula for the Riemann zeta
function
Authors: S. M. Gonek, C. P. Hughes, J. P. Keating
Subj-class: Number Theory
http://www.arxiv.org/abs/math.NT/0511245
Title: Properties of Coefficients of Certain Linear Forms in
Generalized Polylogarithms
Authors: Sergey Zlobin
Comments: to appear in the special issue of Fundamental and Applied
Mathematics dedicated to the 90th birthday of A.B. Shidlovskii
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11J72; 11G55; 11M06; 33B30
http://www.arxiv.org/abs/math.CA/0511269
Title: Schur flows and orthogonal polynomials on the unit circle
Authors: L. Golinskii
Comments: 17 pages
Subj-class: Classical Analysis and ODEs; Spectral Theory
MSC-class: 42C05; 37K10; 37K15
http://www.arxiv.org/abs/math.CO/0511333
Title: Bisymmetric functions, Macdonald polynomials and sl_3 basic
hypergeometric series
Authors: S. Ole Warnaar
Comments: 48 pages
Subj-class: Combinatorics; Quantum Algebra
MSC-class: 05E05, 33D67
http://www.arxiv.org/abs/math.CA/0511335
Title: Ramanujan's Harmonic Number Expansion
Authors: Mark B. Villarino
Comments: 7 pages. Acknowledgements added. Many typos corrected. Parts
of the proof rewritten
Subj-class: Classical Analysis and ODEs
MSC-class: 26D5, 33B15
http://www.arxiv.org/abs/math.AG/0511351
Title: GKZ Hypergeometric Structures
Authors: Jan Stienstra
Comments: 58 pages, 2 figures, Latex2e, to appear in the proceedings of
the Summer School Algebraic Geometry and Hypergeometric Functions in
Istanbul in June 2005
Subj-class: Algebraic Geometry
MSC-class: 33C70, 14M25 (Primary), 14N35 (Secondary)
http://www.arxiv.org/abs/math.QA/0511509
Title: Askey-Wilson relations and Leonard pairs
Authors: Raimundas Vidunas
Comments: 21 pages
Subj-class: Quantum Algebra
MSC-class: 33C45, 33D45, 17B37, 05E35
http://www.arxiv.org/abs/math.CA/0511579
Title: Classical elliptic hypergeometric functions and their
applications
Authors: V.P. Spiridonov
Comments: 42 pages, lectures at the workshop "Elliptic integrable
systems" (RIMS, Kyoto, November 8-11, 2004)
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 33E99
Journal-ref: Rokko Lect. in Math. Vol. 18, Dept. of Math, Kobe Univ.,
2005, pp. 253--287
http://www.arxiv.org/abs/math.CA/0511604
Title: Hausdorff moments, Hardy spaces and power series
Authors: Enrico De Micheli, Giovanni Alberto Viano
Comments: 17 pages, 2 Postscript figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 30B10; 30E05
Journal-ref: J. Math. Anal. Appl. 234 (1999), 265-286
http://www.arxiv.org/abs/math.QA/0511632
Title: Representations of the Quantum Algebra su_q(1,1) and Discrete
q-Ultraspherical Polynomials
Authors: Valentyna Groza
Comments: Published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/
Subj-class: Quantum Algebra; Mathematical Physics; Representation Theory
Journal-ref: SIGMA, Vol. 1 (2005), Paper 016, 7 pages
http://www.arxiv.org/abs/math.FA/0511685
Title: Hypoelliptic Dunkl equations in the space of distributions on
$R^d$
Authors: Hatem Mejjaoli (AFHA)
Subj-class: Functional Analysis
MSC-class: 33C80, 43A32, 44A35, 51F15
http://www.arxiv.org/abs/math.CA/0511709
Title: Non-symmetric Jacobi and Wilson type polynomials
Authors: Lizhong Peng, Genkai Zhang
Subj-class: Classical Analysis and ODEs; Functional Analysis
http://www.arxiv.org/abs/math-ph/0511015
Title: A method to derive explicit formulas for an elliptic
generalization of the Jack polynomials
Authors: Edwin Langmann
Comments: 14 pages, to appear in the proceedings of a workshop on "Jack,
Hall-Littlewood and Macdonald polynomials", V.B. Kuznetsov and S.
Sahi (eds.), Contemporary Mathematics, AMS
Subj-class: Mathematical Physics
MSC-class: 82B23, 35Q58, 81Q05
http://www.arxiv.org/abs/math-ph/0511089
Title: Some cubic birth and death processes and their related orthogonal
polynomials
Authors: Jacek Gilewicz (CPT), Elie Leopold (CPT), Andreas Ruffing
(TUM), Galliano Valent (LPTHE)
Comments: latex2e, 17 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math.CO/0512064
Title: The correlation functions of vertex operators and Macdonald
polynomials
Authors: Shun-Jen Cheng, Weiqiang Wang
Comments: 12 pages
Subj-class: Combinatorics; Quantum Algebra
http://www.arxiv.org/abs/math.CA/0512142
Title: Boundary conditions associated with the Painlev\'e III' and V
evaluations of some random matrix averages
Authors: P.J. Forrester, N.S. Witte
Subj-class: Classical Analysis and ODEs
MSC-class: 15A52;34M55;58F19
http://www.arxiv.org/abs/math.ST/0512224
Title: Approximation Operators, Exponential, q-Exponential, and Free
Exponential Families
Authors: Wlodzimierz Bryc, Mourad Ismail
Subj-class: Statistics
MSC-class: 62E10, 41A35, 44A10,33C45
http://www.arxiv.org/abs/math.CA/0512243
Title: R. Fuchs' problem of the Painleve equations from the first to the
fifth
Authors: Yousuke Ohyama, Shoji Okumura
Comments: 23 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55; 33E17
http://www.arxiv.org/abs/math.CA/0512293
Title: Electrostatic models for zeros of polynomials: old, new, and some
open problems
Authors: F. Marcellan, A. Martinez-Finkelshtein, P. Martinez-Gonzalez
Comments: 23 pages, 2 figures
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45; 33C47; 31A05; 26C10; 30C15; 42C05
http://www.arxiv.org/abs/math.CA/0512358
Title: Discrete Painlev\'e equations for recurrence coefficients of
orthogonal polynomials
Authors: Walter Van Assche
Comments: 26 pages, 2 figures, submitted for the proceedings of the
International Conference on Difference Equations, Special Functions,
and Applications, Munich, Germany, July 2005
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55; 33C47; 42C05
http://www.arxiv.org/abs/math.CA/0512424
Title: Orthogonal Polynomials
Authors: Vilmos Totik
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05
Journal-ref: Surveys in Approximation Theory, 1 (2005), 70-125
http://www.arxiv.org/abs/math.CA/0512474
Title: Bessel convolutions on matrix cones
Authors: Margit Roesler
Comments: 33 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C67, 33C80, 43A62, 43A85
http://www.arxiv.org/abs/math.CO/0512571
Title: Short Proofs of Summation and Transformation Formulas for Basic
Hypergeometric Series
Authors: Victor J. W. Guo, Jiang Zeng (Universite Claude Bernard Lyon-I)
Comments: 17 pages. See also this http URL
Subj-class: Combinatorics
MSC-class: 33D15; 05A30
http://www.arxiv.org/abs/math-ph/0512005
Title: From asymptotics to spectral measures: determinate versus
indeterminate moment problems
Authors: Galliano Valent (LPTHE, Lumimath)
Comments: Lecture given at the International Mediterranean Congress of
Mathematics, Almeria, 6-10 June 2005, latex2e, 16 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0512006
Title: Heun functions versus elliptic functions
Authors: Galliano Valent (LPTHE, Lumimath)
Comments: Communication at the International Conference on Difference
Equations, Special Functions and Applications, Munich, 25-30 July
2005, latex 2e, 20 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0512010
Title: New method for evaluating integrals involving orthogonal
polynomials: Laguerre polynomial and Bessel function example
Authors: A. D. Alhaidari
Comments: Abstract does not display the integral result, which is in an
image format shown in the Abstract on the manuscript
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/nlin.SI/0512065
Title: Hyperelliptic Theta-Functions and Spectral Methods
Authors: J. Frauendiener, C. Klein
Comments: 25 pages, 12 figures
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry
Journal-ref: J. Comp. Appl. Math., Vol. 167, 193 (2004)
http://www.arxiv.org/abs/nlin.SI/0512066
Title: Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP
solutions
Authors: J. Frauendiener, C. Klein
Comments: 16 pages, 8 figures
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry
http://www.arxiv.org/abs/nlin.SI/0511008
Title: Power solution expansions of the analogue to the first Painleve
equation
Authors: Aleksandr D. Bruno, Nikolai A. Kudryashov
Comments: 27 pages, 3 figures
Subj-class: Exactly Solvable and Integrable Systems
http://www.arxiv.org/abs/nlin.SI/0511045
Title: Power and non-power expansions of the solutions for the
fourth-order analogue to the second Painlev\'{e} equation
Authors: Maria V. Demina, Nikolai A. Kudryashov
Comments: 34 pages, 8 figures; submitted to Chaos, Solitons & Fractals
Subj-class: Exactly Solvable and Integrable Systems
http://www.arxiv.org/abs/nlin.SI/0512041
Title: Generating Function Associated with the Hankel Determinant
Formula for the Solutions of the Painlev\'e IV Equation
Authors: Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
Comments: 18 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #10 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
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 Editors are Diego Dominici
(dominicd@newpaltz.edu) and 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 #11 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
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 one of the OP-SF Editors or
.
Contributions to OP-SF NET 13.2 should be sent by March 1, 2006.
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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 (2005-2007) are:
Peter A. Clarkson, Chair
Daniel W. Lozier, Vice Chair
Javier Segura, Secretary
Peter A. McCoy, Program Director
The appointed officers are:
Diego Dominici, OP-SF NET co-editor
Martin Muldoon, OP-SF NET co-editor
Bonita Saunders, Webmaster
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January 15, 2006
O P - S F N E T Volume 13, Number 1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editors:
Diego Dominici dominicd@newpaltz.edu
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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Today's Topics:
1. Message from the Chair
2. Conference on Approximation and Optimization in the Caribbean
3. Minisymposium at Boston meeting
4. Madrid conference on Constructive Approximation Theory
5. SimonFest (reminder)
6. Vadim Kuznetsov
7. Math on the Web and DLMF
8. SIAM Student Paper Prize - call for submissions
9. Preprints in arXiv.org
10. About the Activity Group
11. Submitting contributions to OP-SF NET
Calendar of Events:
2006
March 27-31: Spectral Theory and Mathematical Physics,
A Conference in Honor of Barry Simon's 60th Birthday,
Pasadena, California, USA 12.2, #2
http://www.math.caltech.edu/simonfest.html
April 3-7: 8th International Conference on Approximation and
Optimization in the Caribbean, Santo Domingo, Dominican
Republic 13.1, #2
http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html
April 8-9: American Mathematical Society Central Section Meeting,
including Special Session on Special Functions and Orthogonal
Polynomials, Notre Dame, Indiana, USA 12.6, #2
http://www.ams.org/amsmtgs/2130_program.html
May 6-11: International Conference on Fourier and Complex Analysis:
Classical Problems - Current View, Protaras, Cyprus
12.4, #1; 12.6 #4
http://www.ucy.ac.cy/~cfca/
June 19-23: FPSAC '06 - 18th Annual International Conference on
Formal Power Series and Algebraic Combinatorics, San Diego,
California, USA 12.6. #3
http://garsia.math.yorku.ca/fpsac06/
July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA
including Minisymposium on Computation and Application of Special
Functions in Scientific Computing 13.1, #3
http://www.siam.org/meetings/an06/index.php
July 10-14: Symmetries and Integrability of Difference Equations 7,
Melbourne, Australia
http://www.physics.utu.fi/theory/SIDE/
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
August 30 - September 1
New Trends in Constructive Approximation Theory, Universidad Carlos III
de Madrid, Spain 13.1, #4
September 4-29: Short programme "The Painleve Equations and Monodromy
Problems", Newton Institute. Cambridge, UK
http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3 #2
September (exact date to be announced): AMADE 2006, Minsk, Belarus
http://www.amade-bsu.com/ 12.3 #3
2007
July (dates to be announced): OPSFA - Orthogonal Polynomials, Special
Functions and their Applications, Marseille, France
Topic #1 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Peter Clarkson
Subject: Message from the Chair
Welcome to the first SIAM Activity Group on Orthogonal Polynomials and
Special Functions newsletter of 2006. This year the newsletter is edited
by Diego Dominici and Martin Muldoon. Many thanks to them for providing
the invaluable service to the OPSF Activity Group.
This year the SIAM Annual Meeting is to be held in Boston,
Massachusetts, USA during the week July 10-14. Vadim Olshevsky
(University of Connecticut) is to give a topical lecture related to
"Orthogonal Polynomials". Further, as mentioned elsewhere in this
newsletter, Pete McCoy and Dan Lozier have submitted a proposal for a
Minisymposium on Computation and Application of Special Functions in
Scientific Computing during the Annual Meeting with talks by Annie Cuyt
(University of Antwerp), Lothar Reichel (Kent State University), Lee Van
Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA Newport)
and Diego Dominici (State University of New York at New Paltz). Many
thanks to Pete and Dan for organizing this.
I look forward to meeting members of the Activity group at various
conferences during this coming year.
Topic #2 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Paco Marcellan
Subject: Conference on Approximation and Optimization in the Caribbean
From April 3-7, 2006, the 8th International Conference on Approximation
and Optimization in the Caribbean will be held in Santo Domingo,
Dominican Republic. For registration and General Information contact
Professor Dr. Rene Piedra rpiedra@pucmm.edu.do
Editors' Note: The further information below is from
http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html
Location: Universidad Autonoma de Santo Domingo (UASD), Dominican
Republic.
Description: This is the first announcement and call for papers. The
deadline for submitting papers is January 30th. We are inviting
lectures, tutorials, mini-symposia, and contributed talks on the
following topics: Approximation: Wavelets, polynomial and rational
approximation, splines, orthogonal polynomials, interpolation,
asymptotic analysis, radial basis function. Optimization: Continuous and
discrete optimization, parametric, stochastic and global optimization,
nonlinear equations and inequalities, non- smooth analysis, critical
point theory, control theory. Mathematical economics: fixed point theory,
equilibria of competitive economics, portfolio problems, cooperative and
noncooperative games. Applications: engineering and energy models,
robotics, pattern recognition, image restoration, applications in
biology, economy and sciences.
Organizers: Juergen Guddat, Humboldt-University, Berlin Institute of
Mathematics, Unter den Linden 6, D-10099 Berlin, Germany; e-mail:
guddat@mathematik.hu-berlin.de; Amado Reyes, Universidad Autonoma de
Santo Domingo, Ciudad Universitaria, Departamento de Matematica,
Facultad de Ciencias, Santo Domingo, Dominican Republic. Phone:
(809)732-2575, Fax (809)732-2556; e-mail: sunlandamado@verizon.net.do
Topic #3 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Pete McCoy
Subject: Minisymposium at Boston meeting
Dan Lozier and I have proposed a Minisymposium on "Computation and
Application of Special Functions in Scientific Computing" for the SIAM
Annual Meeting in Boston, July 10-14, 2006.
Speaker and Titles:
"Reliable multiprecision implementation of a class of special
functions", Annie Cuyt (University of Antwerp)
"Orthogonal polynomials and Gaussian quadrature applied to the solution
of large-scale ill-posed problems", Lothar Reichel (Kent State
University)
"Improved calculation of Mathieu functions of integer order with
application to acoustic radiation from pistons on an elliptic cylinder",
Lee Van Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA
Newport)
"Asymptotic analysis of the higher derivatives of the inverse of the
error function", Diego Dominici (State University of New York at New
Paltz)
Topic #4 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Paco Marcellan
Subject: Madrid conference on Constructive Approximation Theory
We have applied for a Satellite Meeting in Madrid on the occasion of
ICM2006. The answer from the organizers of ICM will arrive at the end of
January. In any case, we will go ahead with it. Thus some members of
our SIAG attending the ICM can have the opportunity to remain in Madrid
for three extra days of interesting activity. The basic information is:
Title: New Trends in Constructive Approximation Theory
Dates: August 30-31, September 1, 2006.
Location: Universidad Carlos III de Madrid
Local Organizing Committee.
G. Lopez Lagomasino, F. Marcellan, J. Arvesu, R.Costas, J. Sanchez
(Universidad Carlos III de Madrid), W. Van Assche (Katholieke
Universiteit Leuven).
Coordinator:
F. Marcellan
Departamento de Matematicas.
Universidad Carlos III de Madrid.
Avenida de la Universidad 30
28911 Leganos, Spain
pacomarc@ing.uc3m.es
Invited Speakers. (One hour talks)
P. Deift, Courant Institute, New York University, USA.
B. Simon, California Institute of Technology, USA.
A. Grunbaum, University of California, Berkeley, USA.
S. Khruschev, Atilim University, Ankara, Turkey.
M. E. H. Ismail, University of Central Florida, USA.
A. B. Kuijlaars, Katholieke Universiteit Leuven, Belgium.
The aim of this meeting is to present the state of the art as well as
new trends in Constructive Approximation with the participation of 7
leading researchers in the subject. We expect the participation
of other specialists in the subject as well as young researchers (half
hour talks) but with a limit of 60 people. We will focus our
attention on several topics related to rational and polynomial
approximation, spectral theory of differential operators, inverse
problems, analytic properties of orthogonal polynomials and their
applications in integrable and dynamical systems.
Topics to be covered: Riemann-Hilbert approach to asymptotics of
orthogonal polynomials, inverse problems and rational approximation,
spectral theory of banded and differential operators, numerical analysis
and rational approximation, integrable non linear dynamical systems,
eigenvalues of random matrices, non-standard orthogonal polynomials.
More information about the meeting (accommodation, registration fees,
and scientific program will be available from February 15, 2006. For
more information please contact F. Marcellan (pacomarc@ing.uc3m.es)
Topic #5 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Cherie Galvez
Subject: SimonFest (reminder)
Spectral Theory and Mathematical Physics
A Conference in Honor of Barry Simon's 60th Birthday
Monday, March 27 to Friday, March 31, 2006
http://www.math.caltech.edu/mp2006conf.html
Lectures at the conference will present mainly surveys of areas
reflecting Barry Simon's scientific interests over the years in
Mathematical Physics and Analysis.
From the conference home page one can go to a list of speakers and the
schedule of their talks.
Online registration for this event is open. Payments of registration and
the banquet can be made by check or credit card. To register, go to
http://www.math.caltech.edu/simonfest/registration.html
Information about the program, lodging, transport and directions to
Caltech, financial support, etc., can be found at
http://www.math.caltech.edu/mp2006conf.html
Please feel free to contact
Cherie Galvez
and
Fritz Gesztesy
with any further questions about the conference.
Fritz Gesztesy
On behalf of the Organizing Committee
Topic #6 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Vadim Kuznetsov
Vadim B. Kuznetsov (University of Leeds, UK) died suddenly and
unexpectedly on 16 December 2005. He was an expert in the field of
Integrable Systems. MathSciNet lists 45 publications of his, over the
period 1987-2004. Among these there are 13 which have Primary/Secondary
MSC number 33. He became best known in special functions by a series of
papers together with E.K. Sklyanin on application of the technique of
separation of variables in quantum integrable systems in order to obtain
an integral transform mapping n-variable Macdonald (or Jack) polynomials
to a product of n one-variable functions, and vice versa.
Vadim Kuznetsov studied and graduated in Leningrad (now St. Petersburg).
In 1993 he came to Amsterdam for a two-year postdoc position with me.
After further postdoc positions in Denmark and Canada he settled in Leeds,
first in temporary positions obtained by successful grant applications,
and eventually in a tenured position as a Reader in Applied Analysis.
Vadim was always very kind and enthusiastic. He had 21 coauthors. He was
very active in organizing meetings, of which two Proceedings edited by him
have appeared. A third volume, the Proceedings of the Workshop on Jack,
Hall-Littlewood and Macdonald polynomials (Edinburgh, 23-26 September
2003), to be coedited with Siddharta Sahi, should appear soon in the AMS
series Contemporary Mathematics.
Vadim is survived by his wife, Olga, and son, Simon.
Links:
A short obituary provided by the University of Leeds appears at
http://campus.leeds.ac.uk/newsincludes/newsitem3495.htm
There is a photo of Vadim lecturing during the Workshop on Special
Functions, Representation Theory and Applications, Amsterdam, 25-27 August
2003 at
http://www.science.uva.nl/~thk/pictures/03-08Asd/PvEB/PvEB-Pages/Image34.html
Topic #7 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: Pete McCoy
Subject: Math on the Web and DLMF
Our Activity Group Vice Chair Dr. Daniel W. Lozier of the National
Institute of Standards and Technology lectured on "Math on the Web and the
Digital Library of Mathematical Functions Project" at the Fall Meeting of
the Washington-Baltimore Section of SIAM held at Johns Hopkins University
on November 9, 2005.
Powerpoint slides from the talk are accessible at
http://math.nist.gov/~lozier/talks/.
Peter McCoy
President, Washington-Baltimore Section of SIAM
Topic #8 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: J. M. Littleton
Subject: SIAM Student Paper Prize - call for submissions
The 2006 SIAM STUDENT PAPER PRIZE will be presented at the 2006 SIAM
Annual Meeting scheduled for July 10-14, 2006, in Boston, Massachusetts.
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 prize. The purpose of the Student Paper
Prize is to recognize outstanding scholarship by students in applied
mathematics or computing.
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.
Eligibility is restricted to students in good standing who do not yet
hold the degree of PhD on the application deadline. Papers entered in
the competition must have already been submitted for publication.
Submissions may be based on co-authored papers.
To enter the competition, a student must submit:
(1) an extended abstract, in English, of the paper. The total length of
the submitted abstract (including bibliography) may not exceed five
pages.
(2) a short vita (at most 2 pages).
(3) the complete paper.
(4) proof that the paper has been submitted for publication.
If a paper is co-authored, each PhD-holding co-author must write a
letter attesting to the student's (students') pivotal role and
contributions to the results.
The student's (students') advisor also must submit a letter that:
* describes and evaluates the paper's contribution to the literature
and the student's (students') contribution to the paper.
* verifies that the student (students) meets the conditions of
eligibility for the award.
All papers and accompanying documentation must be received at the SIAM
office on or before February 15, 2006.
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: +1-215-382-9800, ext. 303
E-mail: littleton@siam.org
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.
The members of the selection committee are: William L. Briggs (Chair),
University of Colorado at Denver; Juergen Gerlach, Radford University;
Maeve L. McCarthy, Murray State University.
Topic #9 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Preprints in arXiv.org
The following preprints related to the fields of orthogonal polynomials
and special functions were posted or cross-listed to one of the
subcategories of arXiv.org during November and December 2005. 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
Particular attention is directed to some review or expository papers:
on q-special functions, by Tom Koornwinder
http://www.arxiv.org/abs/math.CA/0511148
on orthogonal polynomials by Vilmos Totik
http://www.arxiv.org/abs/math.CA/0512424
and on electrostatic models for zeros of polynomials
by F. Marcellan, A. Martinez-Finkelshtein, and P. Martinez-Gonzalez
http://www.arxiv.org/abs/math.CA/0512293
http://www.arxiv.org/abs/math.CA/0511074
Title: Asymptotic Approximations to Truncation Errors of Series
Representations for Special Functions
Authors: Ernst Joachim Weniger
Comments: 20 pages, LaTeX2e, 0 figures
Subj-class: Classical Analysis and ODEs
MSC-class: 11M06, 33C05, 33C70
http://www.arxiv.org/abs/math.NT/0511092
Title: A note on S(T) and the zeros of the Riemann zeta-function
Authors: D. A. Goldston, S. M. Gonek
Comments: 5 pages
Subj-class: Number Theory
MSC-class: 11M26
http://www.arxiv.org/abs/math.NT/0511130
Title: On the q-Analogue of Gamma Functions and Related Inequalities
Authors: Taekyun Kim, C. Adiga
Comments: 5 pages
Subj-class: Number Theory
MSC-class: 33B15
Journal-ref: Jounal of Inequalities in Pure and Applied Mathematics
Vol 6(2005), p. 1-5
http://www.arxiv.org/abs/math.NT/0511131
Title: A note on q-analogue of Sandor's functions
Authors: Taekyun Kim, C. Adiga, Hung Hun Han
Comments: 8 pages
Subj-class: Number Theory
MSC-class: 33D05, 40A05
http://www.arxiv.org/abs/math.QA/0511138
Title: The Differential equation for Jacobi-Pineiro polynomials
Authors: E.Mukhin, A.Varchenko
Comments: 4 pages
Subj-class: Quantum Algebra
http://www.arxiv.org/abs/math.CA/0511148
Title: q-Special functions, an overview
Authors: Tom H. Koornwinder
Comments: 23 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33Dxx
http://www.arxiv.org/abs/math.CA/0511149
Title: Quadratic Transformations of the Sixth Painleve' Equation
Authors: Raimundas Vidunas, Alexander V. Kitaev
Comments: 22 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55, 33E17
http://www.arxiv.org/abs/math.NT/0511182
Title: A Hybrid Euler-Hadamard product formula for the Riemann zeta
function
Authors: S. M. Gonek, C. P. Hughes, J. P. Keating
Subj-class: Number Theory
http://www.arxiv.org/abs/math.NT/0511245
Title: Properties of Coefficients of Certain Linear Forms in
Generalized Polylogarithms
Authors: Sergey Zlobin
Comments: to appear in the special issue of Fundamental and Applied
Mathematics dedicated to the 90th birthday of A.B. Shidlovskii
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11J72; 11G55; 11M06; 33B30
http://www.arxiv.org/abs/math.CA/0511269
Title: Schur flows and orthogonal polynomials on the unit circle
Authors: L. Golinskii
Comments: 17 pages
Subj-class: Classical Analysis and ODEs; Spectral Theory
MSC-class: 42C05; 37K10; 37K15
http://www.arxiv.org/abs/math.CO/0511333
Title: Bisymmetric functions, Macdonald polynomials and sl_3 basic
hypergeometric series
Authors: S. Ole Warnaar
Comments: 48 pages
Subj-class: Combinatorics; Quantum Algebra
MSC-class: 05E05, 33D67
http://www.arxiv.org/abs/math.CA/0511335
Title: Ramanujan's Harmonic Number Expansion
Authors: Mark B. Villarino
Comments: 7 pages. Acknowledgements added. Many typos corrected. Parts
of the proof rewritten
Subj-class: Classical Analysis and ODEs
MSC-class: 26D5, 33B15
http://www.arxiv.org/abs/math.AG/0511351
Title: GKZ Hypergeometric Structures
Authors: Jan Stienstra
Comments: 58 pages, 2 figures, Latex2e, to appear in the proceedings of
the Summer School Algebraic Geometry and Hypergeometric Functions in
Istanbul in June 2005
Subj-class: Algebraic Geometry
MSC-class: 33C70, 14M25 (Primary), 14N35 (Secondary)
http://www.arxiv.org/abs/math.QA/0511509
Title: Askey-Wilson relations and Leonard pairs
Authors: Raimundas Vidunas
Comments: 21 pages
Subj-class: Quantum Algebra
MSC-class: 33C45, 33D45, 17B37, 05E35
http://www.arxiv.org/abs/math.CA/0511579
Title: Classical elliptic hypergeometric functions and their
applications
Authors: V.P. Spiridonov
Comments: 42 pages, lectures at the workshop "Elliptic integrable
systems" (RIMS, Kyoto, November 8-11, 2004)
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 33E99
Journal-ref: Rokko Lect. in Math. Vol. 18, Dept. of Math, Kobe Univ.,
2005, pp. 253--287
http://www.arxiv.org/abs/math.CA/0511604
Title: Hausdorff moments, Hardy spaces and power series
Authors: Enrico De Micheli, Giovanni Alberto Viano
Comments: 17 pages, 2 Postscript figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 30B10; 30E05
Journal-ref: J. Math. Anal. Appl. 234 (1999), 265-286
http://www.arxiv.org/abs/math.QA/0511632
Title: Representations of the Quantum Algebra su_q(1,1) and Discrete
q-Ultraspherical Polynomials
Authors: Valentyna Groza
Comments: Published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/
Subj-class: Quantum Algebra; Mathematical Physics; Representation Theory
Journal-ref: SIGMA, Vol. 1 (2005), Paper 016, 7 pages
http://www.arxiv.org/abs/math.FA/0511685
Title: Hypoelliptic Dunkl equations in the space of distributions on
$R^d$
Authors: Hatem Mejjaoli (AFHA)
Subj-class: Functional Analysis
MSC-class: 33C80, 43A32, 44A35, 51F15
http://www.arxiv.org/abs/math.CA/0511709
Title: Non-symmetric Jacobi and Wilson type polynomials
Authors: Lizhong Peng, Genkai Zhang
Subj-class: Classical Analysis and ODEs; Functional Analysis
http://www.arxiv.org/abs/math-ph/0511015
Title: A method to derive explicit formulas for an elliptic
generalization of the Jack polynomials
Authors: Edwin Langmann
Comments: 14 pages, to appear in the proceedings of a workshop on "Jack,
Hall-Littlewood and Macdonald polynomials", V.B. Kuznetsov and S.
Sahi (eds.), Contemporary Mathematics, AMS
Subj-class: Mathematical Physics
MSC-class: 82B23, 35Q58, 81Q05
http://www.arxiv.org/abs/math-ph/0511089
Title: Some cubic birth and death processes and their related orthogonal
polynomials
Authors: Jacek Gilewicz (CPT), Elie Leopold (CPT), Andreas Ruffing
(TUM), Galliano Valent (LPTHE)
Comments: latex2e, 17 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math.CO/0512064
Title: The correlation functions of vertex operators and Macdonald
polynomials
Authors: Shun-Jen Cheng, Weiqiang Wang
Comments: 12 pages
Subj-class: Combinatorics; Quantum Algebra
http://www.arxiv.org/abs/math.CA/0512142
Title: Boundary conditions associated with the Painlev\'e III' and V
evaluations of some random matrix averages
Authors: P.J. Forrester, N.S. Witte
Subj-class: Classical Analysis and ODEs
MSC-class: 15A52;34M55;58F19
http://www.arxiv.org/abs/math.ST/0512224
Title: Approximation Operators, Exponential, q-Exponential, and Free
Exponential Families
Authors: Wlodzimierz Bryc, Mourad Ismail
Subj-class: Statistics
MSC-class: 62E10, 41A35, 44A10,33C45
http://www.arxiv.org/abs/math.CA/0512243
Title: R. Fuchs' problem of the Painleve equations from the first to the
fifth
Authors: Yousuke Ohyama, Shoji Okumura
Comments: 23 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55; 33E17
http://www.arxiv.org/abs/math.CA/0512293
Title: Electrostatic models for zeros of polynomials: old, new, and some
open problems
Authors: F. Marcellan, A. Martinez-Finkelshtein, P. Martinez-Gonzalez
Comments: 23 pages, 2 figures
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45; 33C47; 31A05; 26C10; 30C15; 42C05
http://www.arxiv.org/abs/math.CA/0512358
Title: Discrete Painlev\'e equations for recurrence coefficients of
orthogonal polynomials
Authors: Walter Van Assche
Comments: 26 pages, 2 figures, submitted for the proceedings of the
International Conference on Difference Equations, Special Functions,
and Applications, Munich, Germany, July 2005
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55; 33C47; 42C05
http://www.arxiv.org/abs/math.CA/0512424
Title: Orthogonal Polynomials
Authors: Vilmos Totik
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05
Journal-ref: Surveys in Approximation Theory, 1 (2005), 70-125
http://www.arxiv.org/abs/math.CA/0512474
Title: Bessel convolutions on matrix cones
Authors: Margit Roesler
Comments: 33 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C67, 33C80, 43A62, 43A85
http://www.arxiv.org/abs/math.CO/0512571
Title: Short Proofs of Summation and Transformation Formulas for Basic
Hypergeometric Series
Authors: Victor J. W. Guo, Jiang Zeng (Universite Claude Bernard Lyon-I)
Comments: 17 pages. See also this http URL
Subj-class: Combinatorics
MSC-class: 33D15; 05A30
http://www.arxiv.org/abs/math-ph/0512005
Title: From asymptotics to spectral measures: determinate versus
indeterminate moment problems
Authors: Galliano Valent (LPTHE, Lumimath)
Comments: Lecture given at the International Mediterranean Congress of
Mathematics, Almeria, 6-10 June 2005, latex2e, 16 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0512006
Title: Heun functions versus elliptic functions
Authors: Galliano Valent (LPTHE, Lumimath)
Comments: Communication at the International Conference on Difference
Equations, Special Functions and Applications, Munich, 25-30 July
2005, latex 2e, 20 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0512010
Title: New method for evaluating integrals involving orthogonal
polynomials: Laguerre polynomial and Bessel function example
Authors: A. D. Alhaidari
Comments: Abstract does not display the integral result, which is in an
image format shown in the Abstract on the manuscript
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/nlin.SI/0512065
Title: Hyperelliptic Theta-Functions and Spectral Methods
Authors: J. Frauendiener, C. Klein
Comments: 25 pages, 12 figures
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry
Journal-ref: J. Comp. Appl. Math., Vol. 167, 193 (2004)
http://www.arxiv.org/abs/nlin.SI/0512066
Title: Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP
solutions
Authors: J. Frauendiener, C. Klein
Comments: 16 pages, 8 figures
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry
http://www.arxiv.org/abs/nlin.SI/0511008
Title: Power solution expansions of the analogue to the first Painleve
equation
Authors: Aleksandr D. Bruno, Nikolai A. Kudryashov
Comments: 27 pages, 3 figures
Subj-class: Exactly Solvable and Integrable Systems
http://www.arxiv.org/abs/nlin.SI/0511045
Title: Power and non-power expansions of the solutions for the
fourth-order analogue to the second Painlev\'{e} equation
Authors: Maria V. Demina, Nikolai A. Kudryashov
Comments: 34 pages, 8 figures; submitted to Chaos, Solitons & Fractals
Subj-class: Exactly Solvable and Integrable Systems
http://www.arxiv.org/abs/nlin.SI/0512041
Title: Generating Function Associated with the Hankel Determinant
Formula for the Solutions of the Painlev\'e IV Equation
Authors: Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
Comments: 18 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #10 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
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
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The Activity Group sponsors OP-SF NET, which is transmitted periodically
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Topic #11 ---------- OP-SF NET 13.1 ----------- January 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
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 one of the OP-SF Editors or
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Contributions to OP-SF NET 13.2 should be sent by March 1, 2006.
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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
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Send submissions to: poly@siam.org
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The elected Officers of the Activity Group (2005-2007) are:
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The appointed officers are:
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