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March 15, 2002
O P - S F N E T Volume 9, Number 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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. Communications Committee
2. Message from the Chair
3. SIDE V conference
4. Chennai Meeting on Special Functions and Their Applications
5. Leuven Summer School
6. Fourth ISAAC Congress 2003
7. Book "The Mysteries of the Real Prime"
8. Book on Quantum Calculus
9. Preprints in xxx Archive
10. About the Activity Group
11. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2002
May 11-18: Conference on Operator Theory in Bedlewo, Poland 8.6 #3
May 16-18: 9th International Krawtchouk Conference
Kyiv (Kiev), Ukraine 9.1 #4
June 21-26: Symmetries and Integrability of Difference Equations
(SIDE V), Giens, France 9.2 #3
June 27 - July 2: van Moerbeke on Random Matrices, etc.,
Leeds, UK 9.1 #5
June 24-27: International Workshop on Orthogonal Polynomials,
Leganes, Madrid 8.6 #4
July 1-5: International Conference on Differential, Difference
Equations and their Applications. Patras, Greece 8.4 #3, 9.1 #7
July 8-12 - SIAM 50th Anniversary & Annual Meeting
Philadelphia, Pennsylvania, USA 8.6 #5
July 22 - August 2: IMA Summer Program "Special Functions in the
Digital Age" Minneapolis, Minnesota, USA 8.2 #7 8.6 #9
August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of
Computational Mathematics" Minneapolis,
Minnesota, USA 8.1 #1 8.6 #10
August 12-17: Summer school in Orthogonal Polynomials and
Special Functions, Leuven, Belgium 8.4 #4 9.2 #5
September 2-6: Summer School on Approximation Methods in Systems
Theory, Laredo, Spain. 9.1 #6
September 23-27: International Conference on Special Functions
and their Applications, Chennai, India 9.2 #4
2003
July 7-11: 5th International Congress on Industrial and Applied
Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6
August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6
August 18-22: Seventh International Symposium on Orthogonal
Polynomials, Special Functions and Applications,
Copenhagen, Denmark 8.6 #7
Future plans:
There are plans to organize a summer school on Orthogonal Polynomials and
Special Functions in Portugal in July 2003. (Contact person: Amilcar
Branquinho). This is in the series Laredo (2000), Inzell (2001)
and Leuven (2002; see Topic #5). The coordinator of the three
summer schools is Erik Koelink (koelink@dutiaw4.twi.tudelft.nl). These
summer schools are part of our Activity Group's scientific program. The
scientific committee consists of Erik Koelink, Rupert Lasser, Amilcar
Branquinho, Paco Marcellan and Walter Van Assche.
Topic #1 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Communications Committee
Immediately below (Topic #2), in the Message from the Chair, you will see a
proposal for a Communications Committee, which I am going to Chair. The
communications job is a large one and we need several people to help. My
idea, which will be discussed with the committee is that we should have a
person in charge of the meetings calendar, one in charge of soliciting
reports of past meetings, one on charge book announcements and reviews, one
to report on preprints in the xxx archive, etc. I hope that this will
increase the service to readers without putting an undue burden on any of
the volunteers. I would like to hear your views on this and also welcome
volunteers for the committee.
Topic #2 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: Dan Lozier
Subject: Message from the Chair
Over the next 3 years the newly elected leadership of the activity group
will be working hard to bring you the kinds of programs and services that
we hope you will find interesting and useful. Below I will describe three
developments that are in various stages of planning.
1. Communications Committee. The idea of forming this committee arose at
an OPSF activity group meeting that was held during the Rome OPSFA
conference in June 2001. Our printed and electronic newsletters, and our
Web site, do a good job of disseminating information about orthogonal
polynomials and special functions. The four people who provide this
service are named at the end of every newsletter: Renato Alvarez-Nodarse,
Rafael Yanez, Martin Muldoon, and Bonita Saunders. Each has explicit
responsibility to use a particular communications channel to present
essentially the same information. But the responsibility to gather this
information is implicit. The new Communications Committee will be
responsible as a team both to gather information and to disseminate it.
The committee will determine its own internal structure and division of
work among its members. Martin Muldoon has agreed to coordinate the
development of the committee. Some OPSF members have already offered to
serve on the committee, and others may be asked to serve. If you are
interested in this opportunity, please contact Martin directly.
2. Szego Prize. SIAM has a number of prizes in various areas of applied
mathematics that are named after prominent researchers. The idea of
working with SIAM to establish a prize for research in OPSF has been
discussed among the activity group officers from time to time, most
recently at the activity group meeting in June 2001. The name Szego Prize
was introduced at that meeting. Subsequently I talked with SIAM executive
director Jim Crowley and SIAM technical director Bill Kolata. They support
the idea, provided the financial arrangements can be worked out. Each SIAM
prize has what I will call an endowment, for lack of a better term, from
which the earnings provide cash to cover most of the expenses associated
with the prize. SIAM manages prize endowments as part of its regular
investment program. A big task for us, in addition to establishing the
terms of the prize, will be to establish the endowment. I hope that we
will be able to push forward with this idea, and I will make sure you are
informed as progress is made.
3. SSFA Conference in India. Our activity group has a sister society in
India, the Society for Special Functions and Applications. It was formed,
using our SIAM charter as a model, after a successful conference in 1997 in
which some of our members were participants. Another conference is being
planned for September 23 - 27, 2002, to be preceded by a week-long workshop
on computer algebra and the software packages Hyp and Hyp-q. Some of our
members are on the advisory committee and the tentative list of speakers.
There was hope that a funding contribution of $5000 might come from the
U.S. SIAM identified a possible NSF program and offered to prepare the
application, with technical input from us, but further investigation made
it clear that the application would not be successful. I hope the
conference will take place as planned even without U.S. support. Watch the
Forthcoming Meetings and Conferences section of the newsletter for further
announcements.
Let me close by welcoming new officer Peter Clarkson and returning officers
Walter Van Assche and Paco Marcellan. I also wish to thank Peter McCoy and
Charles Dunkl, our founder, first chair and outgoing secretary, for running
for the offices of Secretary and Vice Chair, respectively.
Topic #3 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: Walter Van Assche
Subject: SIDE V conference
The next conference on "Symmetries and Integrability of Difference
Equations" (SIDE V) will be a Euresco Conference. The topics covered by
this conference are
- analytic and algebraic aspects of difference equations
- difference Galois theory
- the Painlev\'e property and singularity analysis
- growth and branching phenomena in rational mappings
- difference analogues of the Painlev\'e equations
- isomonodromic deformation theory
- asymptotics of orthogonal polynomials
- symmetries of difference equations
~ applications to numerical analysis
The conference will take place in Giens (near Toulon) in France, from June
21 to June 26, 2002. Grants are available for young scientists from the
European Community and its associated states and some INTAS support is
available for young scientists from the New Independent States of the
former Soviet Union. Speakers will include Mark Ablowitz, Claude Brezinski,
Peter Clarkson, Robert Conte, Rod Halburn, Peter Hydon, Gertruida Immink,
Arieh Iserles, Alexander Its, Nalini Joshi, Martin Kruskal, Ilpo Laine,
Decio Levi, Jean-Marie Maillard, Frank Nijhoff, Vassilis Papageorgiou,
Reinout Quispel, Alfred Ramani, Konstantin Rerikh, Jacques Sauloy, Junkichi
Satsuma, Walter Van Assche, Alexander Veselov, Pawel Winternitz.
More information and the registration procedure can be found at
http://www.esf.org/euresco/02/pc02185
Topic #4 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Chennai Meeting on Special Functions and Their Applications
[This information is taken from a poster sent electronically by the
organizers.]
An international conference "Special Functions and Their Applications" will
be held in Chennai, India in the period September 23-27, 2002.
General Information
This is an International conference on Special Functions and their
Applications, to be held at the Institute of Mathematical Sciences,
Chennai, India, from September 23-27, 2002. The Plenary lectures ad Invited
Talks by experts, the Papers/Posters by researchers will emphasize recent
trends and the developments in the topics of interest to be covered. The
objective of the Conference, cosponsored by the Society for Special
Functions and their Applications (SSFA) of India and the Orthogonal
Polynomials and Special Functions (OPSF) Activity Group of SIAM, is to
bring together experts and active research workers with a broad spectrum of
interests for fruitful exchange of ideas.
Plenary/Invited Speakers
R. P. Agarwal (Lucknow, India)
S. Akiyama (Niigata Univ., Japan)
S. Balasubramanian (IMSc, India)
B. C. Berndt (UIUC, USA)
S. Bhargava (Univ. Mysore, India)
F. Calogero (INFN, Rome, Italy)
M. Hata (Kyoto Univ., Japan)
M. E. H. Ismail (Univ. South Florida, USA)
S. Kanemitsu (Fukuoka Univ., Japan)
A. U. Klymik (ITP, Kiev, Ukraine)
K. Miyake (Tokyo Univ., Japan)
Y. Tanigawa (Nagoya Univ., Japan)
D. Lozier (NIST, USA)
W. Van Assche (KULeuven, Belgium)
G. Vanden Berghe (Univ. Gent, Belgium)
J. Van der Jeugt (Univ. Gent, Belgium)
A. Verma (IIT, Roorkee, India)
M. Waldschmidt (Univ. Paris, France)
M. Yoshida (Fukuoka Univ., Japan)
Participation
Participants should be active research scientists, students in the field of
Special Functions and their Applications. The topics of the conference are:
q-Series
Number Theory
Hypergeometric series
Numerical Methods
Group Theory of Special Functions
Combinatorics
Non-linear ODES
Orthogonal Polynomials
Applications to Physics
Interested participants are requested to send by e-mail (or on plain paper)
details giving their name, address, age, qualifications, present position
and a resume of research work done. (Maximum number of participants: about
60).
Address for Correspondence:
Prof. K. Srinivasa Rao,
Convener - Organizing Committee - ICSF2002,
Institute of Mathematical Sciences,
C.I.T. Campus,
Tharamani,
Chennai - 600 113, INDIA
e-mail: icsf2002@imsc.ernet.in
FAX: +91-44-254 1586
URL: http://www.imsc.ernet.in/~icsf2002
Topic #5 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: Erik Koelink
Subject: Leuven Summer School
As announced in OP-SF NET 8.3, Topic #4, the third summer school in
Orthogonal Polynomials and Special Functions will take place in Leuven,
Belgium from August 12 to 17, 2002.
The following people will give a series of lectures at the
summer school.
Wolfram Koepf (Kassel, Germany)
Computer Algebra Algorithms for Orthogonal Polynomials
and Special Functions
Arno Kuijlaars (Leuven, Belgium)
Riemann-Hilbert Analysis of Orthogonal Polynomials
Adri Olde Daalhuis (Edinburgh, UK)
Exponential Asymptotics
Margit Roesler (Goettingen, Germany)
Dunkl Operators: Theory and Applications
Dennis Stanton (Minnesota, USA)
Enumeration and Special Functions
Joris Van der Jeugt (Gent, Belgium)
3nj-Coefficients and Orthogonal Polynomials of Hypergeometric Type
The registration fee is 150 euro until Juy 15, 2002, and 200 euro
after July 15, 2002.
Accommodation: housing in a student residence building is 20 euros
per night
Depending on sponsors, there will be the possibility of (partial)
funding of participants.
For more information and registration visit
http://aw.twi.tudelft.nl/~koelink/opsf2002.html
or contact
Walter Van Assche at walter.vanassche@wis.kuleuven.ac.be
Erik Koelink at h.t.koelink@its.tudelft.nl.
Topic #6 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: Man-Wah Wong
Subject: Fourth ISAAC Congress 2003
On behalf of the ISAAC (International Society for Analysis, its
Applications and Computation) board, the local organizing committee and the
Department of Mathematics and Statistics at York University, I am pleased
to announce that the fourth ISAAC Congress will be held at York University
in Toronto, Canada, from August 11, 2003 to August 16, 2003.
We hope to be able to announce the list of plenary speakers and the list
of special sessions in the near future.
Editors Note:
Information on the 3rd ISAAC Congress is at
http://www.math.fu-berlin.de/~isaac/
This series should not be confused with the meetings sponsored by ISSAC
(International Symposium on Symbolic and Algebraic Computation). Nor
should we confuse this ISAAC with another one: International Society for
Augmentative and Alternative Communication.
Topic #7 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Book "The Mysteries of the Real Prime"
The following book announcement is from the web site:
http://www.oup-usa.org/isbn/0198508689.html
The Mysteries of the Real Prime
M.J. SHAI HARAN, Technion-Israel Institute of Technology, Haifa, Israel
In this important and original monograph, useful for both academic and
professional researchers and students of mathematics and physics, the
author describes his work on the Riemann zeta function and its adelic
interpretation. It provides an original point of view, bringing new, highly
useful dictionaries between different fields of mathematics. It develops an
arithmetical approach to the continuum of real numbers and unifies many
areas of mathematics including: Markov Chains, q-series, Elliptic curves,
the Heisenberg group, quantum groups, and special functions (such as the
Gamma, Beta, Zeta, theta, Bessel functions, the Askey-Wilson and the
classical orthogonal polynomials) The text discusses real numbers from a
p-adic point of view, first mooted by Arakelov. It includes original work
on coherent theory, with implications for number theory and uses ideas from
probability theory including Markov chains and noncommutative geometry
which unifies the p-adic theory and the real theory by constructing a
theory of quantum orthogonal polynomials.
$75.00 (06) 0198508689 2001
London Mathematical Society Monographs, New Series 25
Table of Contents
Introduction
1. The Real Prime
1.1. Algebra and geometry
1.2. The real prime
1.3. The mystery
2. The zeta function and gamma distribution
2.1. The local zeta function
2.2. The gamma distribution
2.3. Remarks on global theory
3. The Beta distribution
3.1. Phase space
3.2. The beta distribution
3.3. Special values
3.4. Remarks on the global theory
4. The p-adic hyperbolic point of view
4.1. Chains and trees
4.2. The p-adic gamma chain
4.3. The p-adic symmetric beta chain
4.4. The p-adic beta chain
5. Some real hyberbolic chains
5.1. The hyperbolic plane
5.2. N-adic expansion
5.3. Continued fraction expansion
6. Ramanujan's garden
6.1 The q-zeta function.
6.2. Elliptic curves
6.3. q-series
7. The q-Gamma and q-Beta chains
7.1. The q-gamma chain
7.2. The q-beta chains
7.3. The Heisenberg relation and special basis
8. The real beta chains
8.1. The beta chain
8.2. The Heisenberg relations and the special basis
8.3. The real units
9. Global 'chains' and higher dimensions
9.1. Restricted direct products of chains
9.2. Higher dimensional beta chains
10. The Fourier transform
10.1. The Tate distribution and the beta function at
imaginary argument
10.2. The Fourier-Bessel transform
10.3. Symmetric convolution
10.4. The basic basis and the Laguerre basis
10.5. The beta measure
10.6. The pure gamma basis and the cut-off basis
10.7. The pure beta basis
10.8. The Askey-Wilson polynomials
11. The quantum group SU(1,1)
11.1. The quantum enveloping algebra U*q
11.2. Highest weight representation
11.3. The Hopf algebra structure
11.4. The universal R-matrix
12. The Heisenberg group
12.1. The Heisenberg group and its fundamental
representation
12.2. Twisted convolution and multiplication
12.3. Matrix coefficients
12.4. The local lattice model
12.5. Special basis
12.6. The global lattice model
12.7. Automorphic forms on the Heisenberg group
13. The Riemann zeta function
13.1. The Riemann zeta function and the theta function
13.2. The explicit sums
13.3. The Eisenstein series connections
13.4. The Eisenstein series and the intertwining operator
13.5. The Riesz potential connection
Bibliography
Index
Topic #8 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Book on Quantum Calculus
The following book announcement is from the web site:
http://www.springer.de/cgi-bin/search_book.pl?isbn=0-387-95341-8
V. Kac and P. Cheung, MIT, Cambridge, MA, USA
Quantum Calculus
2002. IX, 112 pp. Softcover
0-387-95341-8
Series: Universitext.
Recommended Retail Price: EUR 34,95
Simply put, quantum calculus is ordinary calculus without taking limits.
This undergraduate text develops two types of quantum calculi, the
q-calculus and the h-calculus. As this book develops quantum calculus along
the lines of traditional calculus, the reader discovers, with a remarkable
inevitability, many important notions and results of classical mathematics.
This book is written at the level of a first course in calculus and linear
algebra and is aimed at undergraduate and beginning graduate students in
mathematics, computer science, and physics. It is based on lectures and
seminars given by Professor Kac over the last few years at MIT.
>From the contents: q-derivative and h-derivative.- Generalized Taylor's
formula for polynomials.- q-analogue of (x-a)n, n an integer, and
q-derivatives of binomials.- q-Taylor's formula for polynomials.- Gauss'
binomial formula and a non-commutative binomial formula.- Properties of
q-binomial coefficients.- q-binomial coefficients and linear algebra over
finite fields.- q-Taylor's formula for formal power series and Heine's
binomial formula.- Two Euler identities and two q-exponential functions.-
q-trigonometric functions.- Jacobi's triple product identity.- Classical
partition function and Euler's product formula.- q-hypergeometric functions
and Heine's formula.
Topic #9 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Preprints in xxx Archive
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
math.CO/0201003
Title: Rim Hook Tableaux and Kostant's $\eta$-Function Coefficients
Authors: Ron M. Adin, Avital Frumkin
Comments: 22 pages
Subj-class: Combinatorics; Representation Theory
math.NT/0201024
Title: Ap\'ery-like difference equation for Catalan's constant
Authors: Wadim Zudilin (Moscow)
Comments: 10 pages
Subj-class: Number Theory; Classical Analysis; Numerical Analysis
MSC-class: Primary 39A05, 11B37, 11J70; Secondary 33C20, 33C60, 11B65,
11M06
math.NT/0201109
Title: The moment zeta function and applications
Authors: Igor Rivin
Comments: 19 pages, supersedes a part of cs.LG/0107033
Subj-class: Number Theory; Classical Analysis
MSC-class: 11M06; 60F99; 60C05
math.CO/0201136
Title: Restricted 132-Involutions and Chebyshev Polynomials
Authors: O. Guibert, T. Mansour
Comments: 18 pages, 1 figure
Subj-class: Combinatorics
math.CO/0201140
Title: On the Eulerian Polynomials of Type D
Authors: Chak-On Chow
Comments: 18 pages
Subj-class: Combinatorics
MSC-class: 05A15
math.QA/0201177
Title: Asymptotics and 6j-symbols
Authors: Justin Roberts
Comments: For proceedings of Kyoto conference on quantum invariants, Sept.
2001
Subj-class: Quantum Algebra; Mathematical Physics
MSC-class: 22E99; 81R05, 51M20
math.AG/0201225
Title: Nodal curves and Riccati solutions of Painlev\'e equations
Authors: Masa-Hiko Saito, Hitomi Terajima (Kobe University)
Comments: 30 pages, 4 figures
Subj-class: Algebraic Geometry; Quantum Algebra
MSC-class: 14D15, 34M55, 32G10
math.QA/0201272
Title: Bilinear summation formulas from quantum algebra representations
Authors: Wolter Groenevelt
Comments: 27 pages, 1 figure
Subj-class: Quantum Algebra; Classical Analysis
MSC-class: 33D45, 33D80, 20G42
math-ph/0201004
Title: Cyclic Identities Involving Jacobi Elliptic Functions
Authors: Avinash Khare, Uday Sukhatme
Comments: 14 pages, 0 figures
Subj-class: Mathematical Physics
math-ph/0201021
Title: Spectral bounds for the cutoff Coulomb potential
Authors: Richard L. Hall, Qutaibeh D. Katatbeh
Comments: 11 pages, 2 figures
Subj-class: Mathematical Physics
Journal-ref: Phys. Lett. A 294, 163-167 (2002)
math-ph/0201026
Title: On the derivatives of generalized Gegenbauer polynomials
Authors: W. Garcia Fuertes, A.M. Perelomov (U. Oviedo)
Comments: 3 pages, no figures; submitted to Theor. Math. Phys
Subj-class: Mathematical Physics
math-ph/0201048
Title: Coupling coefficients of SO(n) and integrals over triplets of Jacobi
and Gegenbauer polynomials
Authors: Sigitas Alisauskas
Comments: 27
Subj-class: Mathematical Physics; Representation Theory
math-ph/0201051
Title: Application of the $\tau$-function theory of Painlev\'e equations to
random matrices: \PV, \PIII, the LUE, JUE and CUE
Authors: P.J. Forrester, N.S. Witte
Comments: AMSLatex with CIMS macros
Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems
MSC-class: 15A52;34M55;20F55;60K35
math-ph/0201052
Title: "Exact WKB integration'' of polynomial 1D Schr\"odinger (or
Sturm-Liouville) problem
Authors: A. Voros (CEA/Saclay, SPhT, France)
Comments: latex txt12.tex, 4 files, 3 figures, 18 pages Differential
equations and Stokes phenomenon Groningen, The Netherlands May 28-30 2001
[SPhT-T01/146]
Subj-class: Mathematical Physics
nlin.SI/0201019
Title: Hyperelliptic Solutions of Sine-Gordon Equation and Weierstrass al
Functions
Authors: Shigeki Matsutani
Comments: AMS-Tex, 12 pages
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry;
Differential Geometry; Mathematical Physics
math.CA/0202019
Title: Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions
Authors: Christopher Meaney
Comments: 8 pages
Subj-class: Classical Analysis
MSC-class: 42C05, 33C45, 42C10
math.DG/0202036
Title: Lax pairs for the equations describing compatible nonlocal Poisson
brackets of hydrodynamic type, and integrable reductions of the Lame
equations
Authors: O. I. Mokhov
Comments: 13 pages
Subj-class: Differential Geometry; Symplectic Geometry; Exactly Solvable and
Integrable Systems; Mathematical Physics
math.RT/0202076
Title: Jack polynomials for the $BC_n$ root system and generalized spherical
functions
Authors: Alexei Oblomkov
Comments: 22 pages
Subj-class: Representation Theory
math.CA/0202083
Title: Asymptotic analysis for the Dunkl kernel
Authors: Margit Rösler, Marcel de Jeu
Comments: LaTeX2e, 16 pages, 1 figure
Subj-class: Classical Analysis; Representation Theory
MSC-class: 33C52 (Primary) 33C67 (Secondary)
math.NT/0202159
Title: An elementary proof of Apery's theorem
Authors: Wadim Zudilin (Moscow)
Comments: 8 pages
Subj-class: Number Theory; Classical Analysis; General Mathematics
MSC-class: 11J72
math.NT/0202166
Title: On an analytic estimate in the theory of the Riemann Zeta function
and a Theorem of Baez-Duarte
Authors: Jean-Francois Burnol
Comments: 9 pages
Subj-class: Number Theory
MSC-class: 11M26
math.RT/0202182
Title: Enveloping algebra U(gl(3)) and orthogonal polynomials in several
discrete indeterminates
Authors: Alexander Sergeev (University of Stockholm)
Comments: 12p., Latex
Subj-class: Representation Theory
MSC-class: 17B10 (Primary) 17B65, 33C45, 33C80 (Secondary)
Journal-ref: Duplij S., Wess J. (eds.) Noncommutative structures in
mathematics and physics,
Proc. NATO Advanced Research Workshop, Kiev, 2000. Kluwer, 2001, 113--124
math.CV/0202203
Title: Linear combinations of sections and tails of Mittag-Leffler functions
and their zeros
Authors: N.A. Zheltukhina
Comments: 14 pages
Subj-class: Complex Variables; Classical Analysis
MSC-class: 30C15
math.CA/0202232
Title: Reduction formulae for Karlsson-Minton type hypergeometric functions
Authors: Hjalmar Rosengren
Comments: 17 pages; Corollary 4.11 and Theorem 5.2 not contained in previous
version
Subj-class: Classical Analysis
MSC-class: 33D15, 33D67
math.CA/0202235
Title: Asymptotic properties of a family of solutions of the Painleve
equation PVI
Authors: O Costin, R D Costin
Subj-class: Classical Analysis
MSC-class: 34M55; 34M30
math.NT/0202270
Title: A class of generalized gamma functions
Authors: Jean-Paul Jurzak
Comments: LaTeX file. 9 pages
Subj-class: Number Theory
math.QA/0202272
Title: Dilogarithme Quantique et 6j-Symboles Cycliques
Authors: Stephane Baseilhac
Comments: 40 pages, in French (abstract in English). Former 3rd chapter of
the Author's PhD thesis
Subj-class: Quantum Algebra
math.NT/0202273
Title: Partial Euler products as a new approach to Riemann hypothesis
Authors: Jean-Paul Jurzak
Comments: LaTeX file. 22 pages
Subj-class: Number Theory
cond-mat/0202276
Title: Vicious walkers, friendly walkers and Young tableaux III: Between two
walls
Authors: Christian Krattenthaler (Universität Wien), Anthony J. Guttmann
(University of Melbourne), Xavier G. Viennot (Université Bordeaux 1)
Comments: 15 pages, LaTeX
Subj-class: Statistical Mechanics; Combinatorics
MSC-class: 82B23 (Primary) 05A15 05E05 82B20 (Secondary)
nlin.SI/0201008
Title: Symbolic computation of exact solutions expressible in hyperbolic and
elliptic functions for nonlinear partial differential and
differential-difference equations
Authors: D. Baldwin, U. Goktas, W. Hereman, L. Hong, R. S. Martino, J.
Miller
Comments: 36 pages. Software available from Willy Hereman's home page at
http://www.mines.edu/fs_home/whereman/
Subj-class: Exactly Solvable and Integrable Systems
hep-th/0201195
Title: Onsager's algebra and partially orthogonal polynomials
Authors: G. von Gehlen
Comments: 8 pages, no figures
Subj-class: High Energy Physics - Theory; Exactly Solvable and Integrable
Systems
nlin.SI/0202037
Title: Rational solutions to the Pfaff lattice and Jack polynomials
Authors: Mark Adler, Vadim B. Kuznetsov, Pierre van Moerbeke
Comments: 57 pages
Subj-class: Exactly Solvable and Integrable Systems
nlin.SI/0202044
Title: On a class of algebraic solutions to Painlev\'e VI equation, its
determinant formula and coalescence cascade
Authors: Tetsu Masuda
Comments: 35 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #10 ------------- OP-SF NET 9.2 -------------- March 15, 2002
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From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
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Topic #11 ------------- OP-SF NET 9.2 -------------- March 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org with a
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OP-SF NET is a forum of the SIAM Activity Group on
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Send submissions to: poly@siam.org
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The elected Officers of the Activity Group (2002-2004) are:
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