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May 15, 2004
O P - S F N E T Volume 11, Number 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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. Workshop on Harmonic Analysis and Homogeneous Spaces
2. Obituary: Boris Levitan
3. Truncated q-exponentials
4. SIAM/ACM Prize in CS&E - Call for Nominations
5. hsum, qsum and CAOP updated
6. CMFT Journal
7. Preprints in arXiv.org
8. About the Activity Group
9. Submitting contributions to OP-SF NET
Calendar of Events:
2004
May 28-31: International Conference on Mathematics and
its Applications in honour of Professor Roderick Wong's
60th Birthday, City University of Hong Kong 11.1 #5
http://www.cityu.edu.hk/ma/frame/conf.html
June 16-23: 5th International Conference on Functional
Analysis and Approximation Theory (FAAT 2004),
Acquafredda di Maratea, Italy 11.1 #3
http://www.dm.unile.it/faat2004
June 19-24: Symmetries and Integrability of Difference Equations
Helsinki, Finland 11.2 #1
http://www.esf.org/euresco/04/pc04185
July 5-July 8: Sixth International Workshop on Orthogonal Polynomials
(IWOP): Orthogonal Polynomials in Mathematical Physics.
Universidad Carlos III de Madrid, Leganes, Spain 10.6 #4
http://merlin.us.es/~renato/iwop/
July 8 - July 18: Fifth Summer School on Orthogonal Polynomials and
Special Functions, Universidad Carlos III de Madrid, Leganes, Spain
10.6 #4
http://www.uc3m.es/uc3m/dpto/MATEM/summerschool/indice.html
July 12-16: SIAM Annual Meeting, Portland, Oregon, USA
http://www.siam.org/meetings/an04/
July 10-23: Special Functions in Harmonic Analysis and Applications,
Kloster Irsee, Germany 11.1 #4, 11.2 #4
http://ibb.gsf.de/~irsee
August 2-4: Conference on "Combinatorics, Special Functions and Physics"
in honor of the 75th birthday of James D. Louck,
Tianjin, China 11.2 #2
http://www.combinatorics.net/louck75/
August 2-6: XXV International Colloquium on Group Theoretical
Methods in Physics, Cocoyoc, México 11.2 #3
http://www.group25.unam.mx
August 23-26: Workshop on Harmonic Analysis and Homogeneous Spaces,
Leiden, The Netherlands 11.3 #1
http://www.lc.leidenuniv.nl/lc/web/2004/20040823/info.php3?wsid=122
November 7-9: CONSTRUCTIVE FUNCTIONS TECH-O4, Atlanta, Georgia, USA
10.5 #3
www.math.gatech.edu/news/conferences/at04/
2005
July 25-29: OPSFA8/ICDEA10 - Eighth International Symposium on
Orthogonal Polynomials, Special Functions and Applications
and Tenth International Conference on Difference Equations and
Applications, Munich, Germany 10.6 #3
Future Plans:
Dan Lozier (OP-SF NET 9.4, Topic #2) suggests a SIAM-sponsored meeting in
Orthogonal Polynomials and Special Functions to be held in Washington, DC.
Present planning suggests a date in the fall of 2005 or in 2006.
Topic #1 ------------ OP-SF NET 11.3 ------------- May 15, 2004
~~~~~~~~~~~~~~
From: Marcel de Jeu
Subject: Workshop on Harmonic Analysis and Homogeneous Spaces
This year a workshop "Harmonic Analysis and Homogeneous Spaces" is being
organized at Leiden University, Netherlands. The workshop takes place
from Monday August 23 through Thursday August 26, 2004, at the Lorentz
Center.
Due to the tight time schedule, the talks are by invitation only. The
speakers are
J. Faraut
G. Heckman
S. Helgason
R. Howe
T. Kobayashi
T. Koornwinder
V. Molchanov
H. Ochiai
B. Oersted
G. Olafsson
T. Oshima
A. Pasquale
H. Schlichtkrull
A. Springer (to be confirmed)
E. Thomas
E. van den Ban
A. Vershik
M. Wakayama
G. Zhang
For further information about the workshop, and for registration, please
visit
http://www.lc.leidenuniv.nl/lc/web/2004/20040823/info.php3?wsid=122
The staff of the Lorentz Center will book a hotel room for you with a
discount, if a room should be required. For further information about
the Lorentz Center and its facilities for hosting such a workshop, visit
http://www.lc.leidenuniv.nl/
We also bring it to your attention that on Friday August 27, 2004, there
will be a separate special day on the occasion of the 65th birthday of
prof.dr. G. van Dijk and his subsequent speech in academia in relation
to his retirement. This day is organised by the Mathematical Institute
of Leiden University.
We hope to welcome you at the workshop.
Eric Opdam (University of Amsterdam)
Marcel de Jeu (Leiden University)
Sander Hille (Leiden University)
Erik Koelink (Delft University of Technology)
Walter Kosters (Leiden University)
Misha Pevzner (Reims University)
Fred Bakker (Leiden University)
Topic #2 ------------ OP-SF NET 11.3 ------------- May 15, 2004
~~~~~~~~~~~~~~
From: Richard Askey
Subject: Obituary: Boris Levitan
From the Star Tribune (Minneapolis, MN)
April 12, 2004, Monday, Metro Edition
Boris Levitan, mathematician, dies at age 89
Neal Gendler (Staff Writer)
Boris Levitan, 89, a world-renowned mathematician and winner of the
former Soviet Union's highest civilian honor, the Lenin Prize, died
April 4 after suffering a stroke at his home in Minneapolis. He was
buried Friday in Adath Chesed Shel Emes cemetery in New Hope.
Levitan came to the United States in 1992, after many years of teaching
and research at Moscow State University, Russia's highest
degree-granting institution. He became an adjunct professor at the
University of Minnesota at age 77 and stayed active until about five
years ago, when Parkinson's disease made him unable to work. His
stepson, Leonid Glazman, is a physics professor at the University of
Minnesota.
"Professor Levitan was an absolutely outstanding person," said Grigory
Barenblatt, a mathematics professor at the University of California at
Berkeley. "He was my first mentor."
Levitan and Vladimir Marchenko were awarded the Lenin Prize in 1961 for
"a great work, the inverse scattering problem," Barenblatt said, adding
that it is too complicated to explain, but was "very important in
various aspects of physics for the next 50 years."
Levitan was born in Berdyansk, in southern Ukraine, and became a doctor
of science - a level above an American Ph.D. - at age 26, "which was
absolutely unusual," Barenblatt said. "Simultaneously, he received the
title of full professor."
Levitan's wife, Polina Naiman, also a mathematician, said earning that
level of doctorate usually wasn't achieved before the age of 40.
Barenblatt said Levitan was "absolutely charming ... he was loved by
everybody and had modesty without limits." That modesty almost got him
killed. When Germany invaded the Soviet Union in June 1941, Levitan
"was summoned to the military commissariat to be drafted," Barenblatt
said. "He was asked if he had the title of associate professor. He was
so modest he did not say, " 'No, I have the title of full professor.'
"His modesty was so great that Naiman only learned of this in a letter
from Barenblatt, who heard the story told in Moscow during a 70th
birthday celebration for Levitan.
As a junior officer, he nearly was shot in a strafing attack so close
that he could see the pilot's face. He fought in the Battle of
Stalingrad and was removed from combat in 1944 to teach at an artillery
academy in Samarkand.
After the war, the academy moved to Moscow, but for a Jew to become a
professor at the university, "it was almost impossible," Naiman said.
Restrictions loosened after Stalin's death, and Levitan was taken onto
the faculty in 1961, while still working at the artillery academy part
time. "Every, every evening and every free minute was research,
research, research," she said. "His life was mathematics."
Winning a Lenin Prize in a nation with official and unofficial
anti-Semitism also was remarkable, Barenblatt said. But he was among
other Jewish recipients whose "work was so strong and important," that
giving them the prize "could not be avoided."
Levitan's first wife died in 1980, and he and Naiman, widowed in 1968,
married in 1983.
For about 30 years, Levitan was host of professional seminars on
Wednesday and Thursday nights that drew people from across the Soviet
Union to talk, make presentations "and see what Levitan will say,"
Naiman said. He wrote many books, some translated into English. His
last was "Inverse Problem of Spectral Analysis of Differential
Operators."
In addition to Naiman and Glazman, Levitan is survived by a son, Michael
of Moscow; a daughter, Janna of Toronto; a stepdaughter, Eva, of
Marseilles, France, and four grandchildren.
"How lucky I am that I ... not only knew him but had him as my first
teacher." Barenblatt said. In America, "I did my best to explain to
people that a giant was living among them." But Levitan "didn't have
'sharp elbows.' He didn't shout to everybody, 'I am Levitan!' "
Neal Gendler is at ngendler@startribune.com.
Copyright 2003 Star Tribune. Republished with permission of Star
Tribune, Minneapolis-St. Paul. No further republication or redistribution
is permitted without the written consent of Star Tribune.
-----------------------------------------
Dick Askey writes:
"Levitan was not the first person to deal with generalized translations,
that was probably Jean Delsarte, but he was the first to realize how
general they could be, and this had an impact on the work in special
functions of quite a few people."
Topic #3 ------------ OP-SF NET 11.3 ------------- May 15, 2004
~~~~~~~~~~~~~~
Sender: Christian Krattenthaler
Subject: Truncated q-exponentials
[The following appeared in opsftalk - Ed.]
Here are several questions by Greg Kuperberg.
He posted them at another mailing list, and, with his permission,
I post them on this list (which seems much more appropriate).
---------- Forwarded message ----------
Date: Thu, 22 Apr 2004 17:25:20 -0700
From: Greg Kuperberg
Subject: Truncated q-exponentials
Resent-Date: Thu, 22 Apr 2004 19:31:05 -0500 (CDT)
Dear dominoers,
This isn't really a domino tiling question, but it involves
q-hypergeometric series, so it is at least distantly related. I am
studying the roots of the polynomial
P_n(x) = x^n - x^(n-1)/3 + x^(n-2)/3/15
- x^(n-3)/3/15/63 + ... +- 1/3/15/.../(4^n-1).
As Eric Rains pointed out to me, this polynomial is equivalent to a
truncated q-exponential series with q=4, which I'll write as
exp_q^(n)(x). We have:
exp_q^(n)(x) = 1 + x + x^2/(1+q) + x^3/3!_q + ... + x^n/n!_q,
so
P_n(x) = x^n * exp_q^(n)(1/x/(1-q)). (q=4)
I need to know, and can prove, that P_n(x) has n distinct real roots
r_1 < ... < r_n (note that it is not true when, say, q=2). I also need
to know, and can prove (I think), that
r_1^k + r_2^k + ... + r_n^k = (1-q)/(1-q^k) for k <= n.
Another interesting set of quantities is the complete symmetric
polynomials in r_1,...,r_n. These also seem to be round rational
functions of q. Although I'm satisfied enough with my arguments for
these facts, I would be interested for references to equivalent things
that are already in the literature.
For my purpose I also need to know that
s_n = sqrt(r_1) + sqrt(r_2) + ... + sqrt(r_n) <= 1 (*)
but I am having some trouble proving this. Experiments with Maple
show (modulo floating-point uncertainties) that it is true for n <= 50;
indeed they indicate that
2^n*(1-s_n) -> .8141277036597754973514955...
In fact I conjecture more than this one inequality that I need.
I conjecture that
sqrt(r_1) + sqrt(r_2) + ... + sqrt(r_{k-1}) <= r_k for k <= n, (**)
that 4^n*r_k approaches a limit t_k as n -> infty, that t_k/4^k -> 1/4
as
k -> infty, and that the two limits converge rapidly enough to establish
(*) and (**). Part of the basis of this belief is the relation
P_n(x) = 4^{-n}*P_{n-1}(4*x)*(4*x-1) +- 1/3/15/63/.../(4^n-1)/4^n.
The idea is that the correction term is very small, so to first
approximation the roots shrink by 4 and 1/4 is added as a new root.
Maybe it's not really beyond me to prove enough of this, but with the
ideas that came to me so far, it's at best inelegant.
Here is my application: I'm trying to match the first n moments of the
uniform distribution on [-1,1] by taking a linear combination X of n
i.i.d., unbiased, centered Bernoulli random variables. I can show that
there is a unique solution; the coefficients are sqrt(r_1),...,sqrt(r_n)
above. I want to show that the range of X is a subset of [-1,1], and I
also believe that the values of X appears in the natural dyadic order.
It looks like something coming from a horseshoe map, although that
interpretation hasn't helped me prove anything.
Topic #4 ------------ OP-SF NET 11.3 ------------- May 15, 2004
~~~~~~~~~~~~~~
From: Joanna Littleton
Subject: SIAM/ACM Prize in CS&E - Call for Nominations
SIAM/ACM Prize in Computational Science and Engineering
The SIAM/ACM Prize in Computational Science and Engineering will be
awarded for the second time at the SIAM Conference on Computational
Science and Engineering to be held February 12-15, 2005, in Orlando,
Florida.
The prize was established in 2002 and first awarded in 2003. It is
awarded every other year by the Society for Industrial and Applied
Mathematics (SIAM) and the Association for Computing Machinery (ACM) in
the area of computational science in recognition of outstanding
contributions to the development and use of mathematical and
computational tools and methods for the solution of science and
engineering problems.
Eligibility
The prize is intended to recognize either one individual or a group of
individuals for outstanding research contributions to the field of
computational science and engineering. The contribution(s) for which
the award is made must be publicly available and may belong to any
aspect of computational science in its broadest sense.
Description of the prize
The award will include a total cash prize of $5,000 and a certificate
containing the citation. SIAM will reimburse reasonable travel expenses
to attend the award ceremony.
Nominations
A letter of nomination, including a description of the contribution(s)
should be sent by July 31, 2004, to:
Chair, SIAM/ACM Prize in CS&E
c/o Joanna Littleton
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
Selection Committee
Members of the selection committee are: Wayne H. Enright (chair),
University of Toronto; Steve McCormick, University of Colorado at
Boulder; and John B. Bell, Lawrence Berkeley National Laboratory.
Topic #5 ------------ OP-SF NET 11.3 ------------- May 15, 2004
~~~~~~~~~~~~~~
From: Tom Koornwinder and
Wolfram Koepf
Subject: hsum, qsum and CAOP updated
Wolfram Koepf's Maple packages hsum6.mpl and qsum6.mpl for (q-)hypergeometric
summation (see OP-SF NET 8.2 #13, March 2001)
have now been updated in order to let them work correctly with Maple 9
(and earlier Maple versions, certainly down to Maple 7).
The new versions are renamed hsum9.mpl and qsum9.mpl, respectively.
The Maple help database maple.hdb for these packages has remained unchanged.
The three files can be downloaded from
http://www.mathematik.uni-kassel.de/~koepf/Publikationen/#down
Rene Swarttouw's 1996 package CAOP for online calculations in Maple
of formulas for orthogonal polynomials belonging to the Askey scheme
is maintained since 2001 by Tom Koornwinder (ee OP-SF NET 8.6 #14,
November 2001). Since then the URL of the CAOP webpage has changed into
http://amstel.science.uva.nl:7090/CAOP/
Recently, missing plot files have been added to CAOP (work by Wolfram Koepf
and Rene Swarttouw). Also, CAOP is now running in Maple 9 with the
package hsum9.
Extensions with computations for q-hypergeometric orthogonal polynomials
are expected later this year.
Topic #6 ------------ OP-SF NET 11.3 ------------- May 15, 2004
~~~~~~~~~~~~~~
From: CMFT Journal
Subject: CMFT Journal
COMPUTATIONAL METHODS AND FUNCTION THEORY (CMFT)
We would like to introduce the readers of the OPSF-NET to the CMFT
Journal a new journal of the Heldermann Verlag, a non profit publisher.
The journal has been founded in 2001.
CMFT is a new international mathematics journal which publishes
carefully selected original research papers in complex analysis (in a
broad sense), and on applications or computational methods related to
complex analysis. Survey articles of high standard and special current
interest can be considered for publication as well. Contributed papers
should be written in English (in rare cases exceptions may be
considered), and in a lucid, expository style. Papers should normally
not exceed 30 printed pages.
Editors-in-Chief: S. Ruscheweyh (Wuerzburg), E.B. Saff (Vanderbilt)
Homepage: http://www.cmft.de email: office@cmft.de
Publisher: Heldermann Verlag, Lemgo (http://www.heldermann.de)
One volume (2 issues) per year. 300 pages per issue.
Sample copies upon request from the Wuerzburg office or the publisher.
---------------------------------------------
COMPUTATIONAL METHODS AND FUNCTION THEORY Volume 3 (2003), Number 1
TABLE OF CONTENTS
(Abstracts online available at http://www.heldermann.de/CMF/cmf03.htm)
Dieter Gaier's Contributions to Numerical Conformal Mapping, Pages 1-53
N. Papamichael
Zeros of Solutions of a Functional Equation, Pages 55-78
W. Bergweiler, W. K. Hayman
Approximation of Conformal Mapping via the Szeg"o Kernel Method, Pages 79-94
I. E. Pritsker
Majorization of the Critical Points of a Polynomial by Its Zeros, Pages 95-103
G. Schmeisser
On a Dyadic Parametrization of Curves, Pages 105-115
J. M. Anderson, F. D. Lesley, V. I. Rotar
Airy Solutions of Painlev'e's Second Equation, Pages 117-126
N. Steinmetz
Punishing Factors for Angles, Pages 127-141
F. G. Avkhadiev, K.-J. Wirths
Sewing Homeomorphisms and Quasidisks, Pages 143-150
F. W. Gehring, K. Hag
Shift Generated Haar Spaces on Unbounded, Closed Domains in the Complex
Plane, Pages 151-164 M. Giasson, W. Hengartner, G. Opfer
Poles and Alternation Points in Real Rational Chebyshev Approximation,
Pages 165-177 H.-P. Blatt, R. Grothmann, R. Kovacheva
Nonlinear Riemann-Hilbert Problems and Boundary Interpolation, Pages 179-199
G. Semmler, E. Wegert
Generalized Iteration, Pages 201-252
R. Br"uck, M. B"uger
Decomposition of Continua and Prime Ends, Pages 253-272
J. J. Carmona, Ch. Pommerenke
Polynomial Approximation on Compact Sets Bounded by Dini-Smooth Arcs,
Pages 273-284 L. Frerick, J. M"uller
Universal Transforms of the Geometric Series under Generalized Riesz
Methods, Pages 285-297 L. Bernal-Gonz'alez, M. C. Calder'on-Moreno, W.
Luh
Fixed Points of Univalent Functions, Pages 299-304
T. Gharibyan, G. Schmieder
Lacunary P'al-Type Interpolation and Over-Convergence, Pages 305-323
M. G. de Bruin, A. Sharma
Curvature Flow in Conformal Mapping, Pages 325-347
Ch. R. Collins, T. A. Driscoll, K. Stephenson
Harmonic Approximation on Compact Sets, Pages 349-358
T. Bagby, P. M. Gauthier
Uniform and Tangential Approximation on a Stripe by Entire Functions
Having Optimal Growth, Pages 359-383 N. Arakelian, H. Shahgholian
Uniformly Perfect Subsets of the Real Line and John Domains, Pages 385-396
V. V. Andrievskii
COMPUTATIONAL METHODS AND FUNCTION THEORY Volume 3 (2003), Number 2
TABLE OF CONTENTS
(Abstracts online available at http://www.heldermann.de/CMF/cmf03.htm)
Conformality of the Apollonian Metric, Pages 397-411
Z. Ibragimov
A Lower Estimate for the Distance of an Attracting Fixpoint to the
Boundary of its Basin via Univalence Radius, Pages 413-424 P. Gumenuk
On Power Series Having Sections with only Real Zeros, Pages 425-441
O. M. Katkova, T. Lobova, A. M. Vishnyakova
Nonbounded Solutions of the Stationary Schr"odinger Equation on
Riemannian Manifolds, Pages 443-451 A. G. Losev, E. A. Mazepa, V. Y.
Chebanenko
Prolongations and Cyclic Vectors, Pages 453-483
W. T. Ross, H. S. Shapiro
Approximation of Univalent Functions by Compositions, Pages 485-499
A. Kuznetsov
Topic #7 ------------ OP-SF NET 11.3 ------------- May 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.GM/0403011
Title: Higher Order Recurrences for Analytical Functions of
Tchebysheff Type
Authors: A.K.Kwasniewski
Comments: 14 pages
Subj-class: General Mathematics
MSC-class: 12Exx:12E10
Journal-ref: Advances in Applied Clifford Algebras, Vol.9 No. 1
(1999) pp. 41-54
http://www.arXiv.org/abs/math.CO/0403017
Title: Combinatorial interpretation of the recurrence relation for
fibonomial coefficients
Authors: A.K.Kwasniewski
Comments: 12 pages, 5 figures
Subj-class: Combinatorics
MSC-class: 11Bxx: 11B39
http://www.arXiv.org/abs/math.FA/0403025
Title: Operators on Spaces Generated by Infinite Dimensional Appell
Polynomials
Authors: Eugene Yablonsky
Comments: 13 pages
Subj-class: Functional Analysis
MSC-class: 60H40,46F25
http://www.arXiv.org/abs/math.NT/0403027
Title: Continued Fractions with Multiple Limits
Authors: Douglas Bowman, James Mc Laughlin
Comments: 29 pages. Updated/new content
Subj-class: Number Theory
MSC-class: 11A55
http://www.arXiv.org/abs/math.CA/0403049
Title: Convolution operator and maximal function for Dunkl
transform
Authors: Sundaram Thangavelu, Yuan Xu
Comments: 22 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 42A38, 42B08, 42B15
http://www.arXiv.org/abs/math.CO/0403054
Title: $\psi$-Poisson, $q$-Cigler, $\psi$-Dobinski, $\psi$-Rota
and $\psi$-coherent states
Authors: A. K. Kwasniewski
Comments: 6 pages
Subj-class: Combinatorics
MSC-class: 05A40, 81S99
http://www.arXiv.org/abs/math.CO/0403064
Title: Two new families of q-positive integers
Authors: Sharon J. X. Hou, Jiang Zeng
Comments: 12 pages
Subj-class: Combinatorics
MSC-class: 05A30;33D15
http://www.arXiv.org/abs/math.CA/0403085
Title: Resurgent Deformations for an Ordinary Differential Equation
of Order 2
Authors: Eric Delabaere, Jean-Marc Rasoamanana
Comments: 49 pages
Subj-class: Classical Analysis and ODEs; Complex Variables
http://www.arXiv.org/abs/math.CO/0403086
Title: A triple lacunary generating function for Hermite polynomials
Authors: Ira M. Gessel, Pallavi Jayawant
Comments: 18 pages, 17 figures, submitted
Subj-class: Combinatorics
MSC-class: 05A15 (Primary) 05A19, 05A40, 33C45 (Secondary)
http://www.arXiv.org/abs/math.PR/0403090
Title: Orthogonal polynomial ensembles in probability theory
Authors: Wolfgang Koenig
Comments: 46 pages
Subj-class: Probability Theory
MSC-class: 15A52, 33C45, 60-02, 60C05, 60F05, 60K35, 82C22, 82C41
http://www.arXiv.org/abs/math.CA/0403159
Title: On discrete q-ultraspherical polynomials and their duals
Authors: N. M. Atakishiyev, A. U. Klimyk
Comments: 14 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33D80, 33D45, 17B37
http://www.arXiv.org/abs/math.CO/0403262
Title: The Number of Convex Polyominoes and the Generating Function
of Jacobi Polynomials
Authors: Victor J. W. Guo, Jiang Zeng
Comments: 8 pages
Subj-class: Combinatorics
MSC-class: 05A15, 05A19
http://www.arXiv.org/abs/math.RT/0403277
Title: Singular polynomials for the symmetric groups
Authors: Charles F. Dunkl
Comments: 22 pages
Subj-class: Representation Theory; Quantum Algebra
MSC-class: Primary 20C30, 05E10; Secondary 16S32
http://www.arXiv.org/abs/math.CO/0403331
Title: q-Analogs of classical 6-periodicity: from Euler to
Chebyshev
Authors: Boris A Kupershmidt
Comments: Archive version is already official. Published by JNMP at
http://www.sm.luth.se/math/JNMP/
Subj-class: Combinatorics
Journal-ref: J. Nonlinear Math. Phys., volume 10, no. 3 (2003) 318-339
http://www.arXiv.org/abs/math.CA/0403344
Title: Chebyshev Series Expansion of Inverse Polynomials
Authors: Richard J. Mathar
Comments: LaTeX 13 pages, no figures. Corrected typos in Eq (1.2),
after Eq (2.7) in Eq (3.15)
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45 (Primary), 42C20, 41A50 (Secondary)
http://www.arXiv.org/abs/math.CO/0403353
Title: Hypergeometric Series and Harmonic Number Identities
Authors: Wenchang Chu, Livia De Donno
Comments: 14 pages
Subj-class: Combinatorics
MSC-class: 33C20, 05A10
http://www.arXiv.org/abs/math.NA/0403355
Title: Using Wavelets Based on B-splines for Calculation of the
Hankel Transform
Authors: Eugene B. Postnikov
Subj-class: Numerical Analysis
MSC-class: 44A15; 65R10
http://www.arXiv.org/abs/math.NT/0403457
Title: Connection formulas for the confluent hypergeometric
functions and the functional relation for the Hurwitz zeta
function
Authors: Michitomo Nishizawa, Kimio Ueno
Comments: 4 pages
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11M35, 33E20
http://www.arXiv.org/abs/math.CA/0403481
Title: Some curious q-series expansions and beta integral
evaluations
Authors: George Gasper, Michael Schlosser
Comments: 14 pages, dedicated to Dick Askey
Subj-class: Classical Analysis and ODEs
MSC-class: 15A09, 33D15, 33E20 (Primary) 05A30 (Secondary)
http://www.arXiv.org/abs/math.CA/0403510
Title: Expressions for values of the gamma function
Authors: Raimundas Vidunas
Comments: 14 pages
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 33B15 (Primary) 11J91 (Secondary)
http://www.arXiv.org/abs/math.CA/0403532
Title: Multiple little q-Jacobi polynomials
Authors: Kelly Postelmans, Walter Van Assche
Comments: 15 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33D45; 42C05
http://www.arXiv.org/abs/math.CA/0403533
Title: Gaussian quadrature for multiple orthogonal polynomials
Authors: Jonathan Coussement, Walter Van Assche
Comments: 16 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 41A55; 65D32
http://www.arXiv.org/abs/math-ph/0403029
Title: Eigenvalues of Hermite and Laguerre ensembles: Large Beta
Asymptotics
Authors: Ioana Dumitriu, Alan Edelman
Comments: 15 pages; 17 figures
Subj-class: Mathematical Physics
MSC-class: 15A52, 46N99
http://www.arXiv.org/abs/math-ph/0403051
Title: Cyclic Identities Involving Ratios of Jacobi Theta Functions
Authors: Avinash Khare, Arul Lakshminarayan, Uday Sukhatme
Comments: 23 pages, 0 figures
Subj-class: Mathematical Physics
http://www.arXiv.org/abs/math-ph/0403058
Title: An asymptotic intertwining of the undelayed and delayed
Fibonacci numbers
Authors: Miloslav Znojil
Comments: 11 pages + 3 tables
Subj-class: Mathematical Physics
MSC-class: 11B39 39A12
http://www.arXiv.org/abs/math-ph/0403059
Title: A q-Generalization of Product Densities and Janossy
Functions in Stochastic Point Processes
Authors: R.Parthasarathy, R.Sridhar
Comments: Latex
Subj-class: Mathematical Physics
http://www.arXiv.org/abs/nlin.SI/0403036
Title: Hypergeometric solutions to the q-Painlev\'e equations
Authors: Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta,
Yasuhiko Yamada
Comments: 17 pages
Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry
http://www.arXiv.org/abs/math.CO/0404063
Title: Rational Interpolation and Basic Hypergeometric Series
Authors: Amy M. Fu, Alain Lascoux
Subj-class: Combinatorics
http://www.arXiv.org/abs/math.CA/0404077
Title: Infinite Product Representations for Multiple Gamma Function
Authors: Michitomo Nishizawa
Comments: 10 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33B15;11M35; 11M36; 11M41
http://www.arXiv.org/abs/math.QA/0404079
Title: Coincident root loci and Jack and Macdonald polynomials for
special values of the parameters
Authors: M. Kasatani, T. Miwa, A.N. Sergeev, A.P. Veselov
Comments: 19 pages, Proceedings of "Jack and Macdonald polynomials"
meeting (ICMS, Edinburgh, September 2003)
Subj-class: Quantum Algebra; Combinatorics
MSC-class: 33D52, 05E05
http://www.arXiv.org/abs/math.CA/0404293
Title: Some remarks on a proof of geometrical Paley-Wiener theorems
for the Dunkl transform
Authors: Marcel de Jeu
Comments: LaTeX, 2 pages. Submitted to Integral Transforms and Special
Functions
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C52; 33C67
http://www.arXiv.org/abs/math.QA/0404307
Title: Introduction to Double Hecke algebras
Authors: Ivan Cherednik
Comments: LaTeX, 7 figures
Subj-class: Quantum Algebra; Combinatorics; Geometric Topology;
Mathematical Physics; Representation Theory
MSC-class: 22Exx,33Cxx,33Dxx,81Rxx,05E05,11T24,14H52,14J25,14M12,
14M15,16S90, 20B30,20F34,20F36,55R80
http://www.arXiv.org/abs/math.CA/0404439
Title: Paley-Wiener theorems for the Dunkl transform
Authors: Marcel de Jeu
Comments: LaTeX, 26 pages, no figures
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C52; 43A32, 33C80, 22E30
http://www.arXiv.org/abs/math.CA/0404506
Title: Asymptotics of the orthogonal polynomials for the Szego
class with a polynomial weight
Authors: S. Denisov, S. Kupin
Comments: revised version
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 47B36, 42C05
http://www.arXiv.org/abs/math.NT/0404523
Title: An essay on irrationality measures of logarithms
Authors: Wadim Zudilin (Moscow)
Comments: 14 pages, AmSTeX
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11J82 (Primary), 11J72, 33C05, 33C65 (Secondary)
http://www.arXiv.org/abs/math.SP/0404535
Title: Limits of Zeros of Orthogonal Polynomials on the Circle
Authors: Barry Simon, Vilmos Totik
Subj-class: Spectral Theory
MSC-class: 42C05
http://www.arXiv.org/abs/math.CA/0404558
Title: Some remarks on stable densities and operators of fractional
differentiation
Authors: Yuri A. Neretin
Subj-class: Classical Analysis and ODEs; Functional Analysis
MSC-class: 33C60, 26A33, 44A10, 60E07
http://www.arXiv.org/abs/math.GM/0404560
Title: A Function in the Congruence Theory
Authors: Florentin Smarandache
Comments: 8 pages
Subj-class: General Mathematics
MSC-class: 33B99, 11A25, 11A07
Journal-ref: Published in Libertas Mathematica, University of Texas
at Arlington, Vol. XII, pp. 181-185, 1992
http://www.arXiv.org/abs/hep-th/0404043
Title: Central charges, symplectic forms, and hypergeometric
series in local mirror symmetry
Authors: Shinobu Hosono
Comments: 34 pages, AMSLatex
Subj-class: High Energy Physics - Theory; Algebraic Geometry
http://www.arXiv.org/abs/math-ph/0404012
Title: Closed form analytic solutions for dilogarithmic double
integrals
Authors: Michael M. Tung, Lucas Jódar
Comments: plain TeX, 6 pages, 3 figures, to appear in Appl. Math. Lett
Subj-class: Mathematical Physics
http://www.arXiv.org/abs/math-ph/0404014
Title: New closed form solutions in terms of pFq for families of
the General, Confluent and Bi-Confluent Heun differential
equations
Authors: E.S. Cheb-Terrab
Comments: 16 pages, related to math.GM/0002059 and math-ph/0402040,
submitted to the Journal of Physics A: Mathematical and
General. See also
http://lie.uwaterloo.ca/odetools.htm
Subj-class: Mathematical Physics
MSC-class: 34A05 (Primary) 34A34 (Secondary)
http://www.arXiv.org/abs/math-ph/0404076
Title: On Generalized Functions in Adelic Quantum Mechanics
Authors: Branko Dragovich
Comments: 9pages
Subj-class: Mathematical Physics
MSC-class: 11R56, 46F99, 81Q99
Journal-ref: Integral Transforms and Special Functions 6 (1998) 197-203
http://www.arXiv.org/abs/nlin.SI/0404026
Title: Riemann-Hilbert problem approach to the "physical" solution
of the Painleve first equation
Authors: Andrei A. Kapaev
Comments: 19 pages, 4 figures
Subj-class: Exactly Solvable and Integrable Systems
Topic #8 ------------ OP-SF NET 11.3 ------------- May 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
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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
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For several years the Activity Group sponsored a printed Newsletter,
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Given the widespread availability of email and the Internet, the need for
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Topic #9 ------------ OP-SF NET 11.3 ------------- May 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 11.4 should be sent by July 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
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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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The appointed officers are:
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