March 15, 2007

O P - S F N E T Volume 14, Number 2

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


Today's Topics:
1. OPSFA 2007 submission deadline
2. AMS Special Session at Tucson
3. Congress in Honor of Prof. J. S. Dehesa
4. Conference on Quantum Probability and Related Topics
5. Special Session in New Zealand
6. Ramanujan Journal - Askey Special Issue
7. Proceedings of Kloster Irsee Workshop
8. Advances in mock theta functions
9. Mathematics Subject Classification Revision
10. Call for Nominations - SIAG/APDE Prize
11. Preprints in arXiv.org
12. About the Activity Group
13. Submitting contributions to OP-SF NET


Calendar of Events:

2007

April 21-22: American Mathematical Society meeting in Tucson,
Arizona, USA including Special Session on Special Functions and
Orthogonal Polynomials 13.6 #2 14.2 #2
http://www.ams.org/amsmtgs/2135_program_ss15.html#title

June 24-30: Seventh International Conference: Symmetry in Nonlinear
Mathematical Physics, Kyiv (Kiev), Ukraine 13.6 #3
http://www.imath.kiev.ua/~appmath/conf.html

July 2-6: The 9th Conference on Orthogonal Polynomials, Special
Functions and Applications, Marseille, France 13.6 #1, 14.2 #1
http://www.cirm.univ-mrs.fr/liste_rencontre/Rencontres2007/Valent07/Valent07.html

July 9-13: International Conference on SCIentific Computation and
Differential Equations, Saint-Malo, France
http://scicade07.irisa.fr/

July 16-20: ICIAM 2007 - 6th International Congress on Industrial
and Applied Mathematics, including Minisymposium on Web Math
Zurich, Switzerland
http://www.iciam07.ch 13.4 #2 13.6 #4

September 2-8: 28th Conference on Quantum Probability and Related
Topics, Guanajuato, Mexico.
See http://www.cimat.mx/Eventos/28quantum/ 14.2 #4

September 9-14: Applications of Macdonald Polynomials, Banff
International Research Station, Banff, Alberta, Canada
www.pims.math.ca/birs/birspages.php?task=displayevent&event_id=07w5048
13.5 #1
September 17-19: Interdisciplinary conference "SPECIAL FUNCTIONS,
INFORMATION THEORY AND MATHEMATICAL PHYSICS", in honor of
Jesus S. Dehesa's 60th birthday, Granada, Spain 14.2 #3
http://www.ugr.es/~jsd60th

December 12-15: Joint Meeting of the American Mathematical Society and
the New Zealand Mathematical Society including Special Session on
Special Functions and Orthogonal Polynomials 14.2 #5
http://www.mcs.vuw.ac.nz/%7Emathmeet/amsnzms2007/index.shtml



Topic #1 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: OP-SF NET Editors
Subject: OPSFA 2007 submission deadline

As mentioned in OP-SF NET 13.6, Topic #1, The 9th Conference on Orthogonal
Polynomials, Special Functions and Applications will take place from the
2nd to 6th of July 2007 at the International Center for Mathematical
Meetings (CIRM), Marseille, France.
The Conference now has a regular page on the CIRM
site. People interested should go to the site
http://www.cirm.univ-mrs.fr/liste_rencontre/Rencontres2007/Valent07/Valent07.html
and FIRST consult the PDF file: Description de la Conference, where all
the practical information is gathered.

Galliano Valent <valant-graziani.galliano-micheline@neuf.fr>
would like to inform readers that there is a CIRM deadline
of APRIL 15, 2007 (not May 11, as stated in the web site) for submitting
communications.

Topic #2 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: OP-SF NET Editors
Subject: AMS Special Session at Tucson

As announced in OP-SF NET 13.6, Topic #2, the meeting of the American
Mathematical Society to be held April 21-22, 2007 in Tucson, Arizona
will include a Special Session on Special Functions and
Orthogonal Polynomials. Here are some details about the Session:

Organizers: Diego Dominici, State University of New York at New Paltz
Robert S. Maier, University of Arizona

Speakers:
Infinite products with nonnegative integer coefficients.
Alexander Berkovich, University of Florida , Gainesville

Tridiagonal pairs and the $q$-tetrahedron algebra
Paul M Terwilliger, University of Wisconsin

Inequalities and bounds for elliptic integrals.
Edward George Neuman, Southern Illinois University

New Cyclic Identities and Generalized Landen Transformation
Formulas for Jacobi Elliptic Functions.
Uday P Sukhatme*, Indiana University - Purdue University Indianapolis
Avinash Khare, Institute of Physics, Bhubaneswar, Orissa, India

Rational Landen transformations.
Victor H. Moll, Tulane University

C_\ell mock theta functions and ``positivity'' conjectures.
Stephen C. Milne, The Ohio State University

Ramanujan's symmetric theta functions and their equations.
Seung H. Son, University of Colorado at Colorado Springs

Well-poised basic and elliptic Taylor expansions.
Michael J Schlosser, University of Vienna

The Schottky-Klein prime function.
Darren G Crowdy, Imperial College London & MIT

A generating function for the N-soliton solutions of the
Kadomtsev-Petviashvili II equation.
Sarbarish Chakravarty, University of Colorado at Colorado Springs

Crossing Probabilities in Percolation and Stochastic
L\"owner Evolution and Modular Forms.
Peter Kleban*, University of Maine
Don Zagier, Max-Planck Institut f\"ur Mathematik and Coll\`ege de
France

The 192 Solutions of the Heun Equation.
Robert S. Maier, University of Arizona

Fractional Integration and Fractional Differentiation for
d-dimensional Jacobi Expansions.
Cristina Balderrama, Universidad Central de Venezuela
Wilfredo O Urbina*, University of New Mexico & Universidad
Central de Venezuela

Fractional Derivatives for Products of Airy Transforms.
Vladimir V Varlamov, University of Texas - Pan American

The Asymptotic Zero Distribution for Partition Polynomials.
Robert P. Boyer*, Drexel University
William M. Y. Goh, Drexel University

Asymptotics of zeros of Hermite functions.
Martin E. Muldoon, York University

Asymptotics of the Painlev\'e Equations.
Peter A Clarkson, University of Kent, England

The theta-Laguerre calculus formulation of the Li/Keiper
constants.
Mark W Coffey, Colorado School of Mines

Nonlinear Integral-Equation Formulation of Orthogonal Polynomials.
Carl M. Bender, Washington University in St. Louis and CNLS,
Los Alamos National Laboratory

Orthogonal Polynomials and Left-definite Spectral Theory.
Lance L Littlejohn, Baylor University

Some examples of orthogonal matrix polynomials satisfying odd
order differential equations.
Manuel D. de la Iglesia*, Universidad de Sevilla
Antonio J. Duran, Universidad de Sevilla

Multivariable polynomials and Lie algebras.
Alexander V Turbiner, Instituto de Ciencias Nucleares, UNAM

Multiplicative Renormalization Method for Orthogonal Polynomials.
Suat Namli, Louisiana State University

For more information, see:
http://www.ams.org/amsmtgs/2135_program_ss15.html#title



Topic #3 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: jsd60th@ugr.es
Subject: Congress in Honor of Prof. J. S. Dehesa

[slightly edited; for more information, see the web site:
http://www.ugr.es/~jsd60th ]

FIRST ANNOUNCEMENT AND CALL FOR PAPERS.
Interdisciplinary conference
"SPECIAL FUNCTIONS, INFORMATION THEORY AND MATHEMATICAL

PHYSICS",
in honor of Jesus S. Dehesa's 60th birthday.

An interdisciplinary conference in honor of Jesus S. Dehesa's 60th
birthday, will take place in Granada (Spain), on September 17-19, 2007.
We intend to bring together researchers both from mathematics and
physics, reflecting the broad scientific interests of Prof. Dehesa. This
includes a wide set of topics related to the following scientific areas:
- Approximation theory, special functions and orthogonal polynomials. -
Atomic and molecular physics. - Functional density methods and
functional inequalities. - Information theory. - Mathematical physics.

Please, visit our WEB SITE:
http://www.ugr.es/~jsd60th
for further information.

SCIENTIFIC COMMITTEE: - Antonio Duran (Universidad de Sevilla, Spain) -
Toshikatsu Koga (Muroran Institute of Technology, Japan) - Guillermo
Lopez Lagomasino (Universidad Carlos III de Madrid, Spain) - Francisco
Marcellan (Chair) (Universidad Carlos III de Madrid, Spain) - Paul Nevai
(Ohio State University, USA) - Angel R. Plastino (University of
Pretoria, South Africa) - Edward B. Saff (Vanderbilt University, USA) -
Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, Brazil) -
Walter Van Assche (Katholieke Universiteit Leuven, Belgium).

ORGANIZING COMMITTEE: - Francisco Marcellan - Rafael Yanez - Alejandro
Zarzo - Andrei Martinez-Finkelshtein - Renato Alvarez-Nodarse - Antonio
M. Lallena.

LOCAL ORGANIZING COMMITTEE: - Rafael Yanez - Carmen Garcia Recio -
Enrique Ruiz Arriola - Juan Carlos Angulo Ibanez - Rosario Gonzalez
Ferez - Pablo Sanchez Moreno.

SOCIAL AND CULTURAL PROGRAM: to be announced.

This is a first call for contributed talks. It is our intention to
publish the proceedings in an international journal (to be
announced).

Please do not hesitate to contact us at jsd60th@ugr.es



Topic #4 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: Tom Koornwinder thk@science.uva.nl
Subject: Conference on Quantum Probability and Related Topics

The 28th Conference on Quantum Probability and Related Topics will be
held 2-8 September 2007 at CIMAT, Guanajuato, Mexico. Among the 10
thematic sessions is one on Interacting Fock Space and Orthogonal
Polynomials, organized by Hui-Hsiung Kuo (Louisiana State University,
USA) and Piotr Graczyk (University of Angers, France).
See http://www.cimat.mx/Eventos/28quantum/



Topic #5 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: OP-SF NET Editors
Subject: Special Session in New Zealand

The first Joint Meeting of the American Mathematical Society and the New
Zealand Mathematical Society will be held at Victoria University of
Wellington, New Zealand from Wednesday 12 - Saturday 15 December 2007. It
will include a Special Session "Special Functions and Orthogonal
Polynomials" organised by Diego Dominici, Ole Warnaar and Shaun Cooper.
The keynote speakers are Mourad Ismail, University of Central Florida,
Walter Van Assche, Katholieke Universiteit Leuven, Richard Askey,
University of Wisconsin-Madison and Ernie Kalnins, University of Waikato.
See the web site:
http://www.mcs.vuw.ac.nz/%7Emathmeet/amsnzms2007/index.shtml



Topic #6 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: Tom Koornwinder thk@science.uva.nl
Subject: Ramanujan Journal - Askey Special Issue

The Ramanujan Journal 13 (2007), Numbers 1-3, consists of a collection
of articles in honour of Richard Askey's 70th Birthday. Most of the
papers are from speakers at the International Workshop on Special
Functions, Orthogonal Polynomials, Quantum Groups and Related Topics
held in Bexbach, Germany, October 18-22, 2003. The issue is edited by
George E, Andrews, George Gasper and Sergei Suslov. The link
http://www.springerlink.com/content/1572-9303/
provides access to all content of the issue.



Topic #7 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: Tom Koornwinder thk@science.uva.nl
Subject: Proceedings of Kloster Irsee Workshop

The proceedings of the workshop SPECIAL FUNCTIONS IN HARMONIC

ANALYSIS AND APPLICATIONS, held at Kloster Irsee, Germany,

July 19-23, 2004 have appeared in a special issue, vol 199 (2007), Issue 1 of

Journal of Computational and Applied Mathematics, guest-edited by

W. zu Castell, S. Ehrich and F. Filbir.



Topic #8 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: Tom Koornwinder thk@science.uva.nl
Subject: Advances in mock theta functions

An article "UW scientists unlock major number theory puzzle"
on the University of Wisconsin - Madison web site
http://www.news.wisc.edu/13497.html
describes work of Ken Ono and Kathrin Bringmann which gives an
explanatory framework for Ramanujan's "mock theta functions".
The details are in Bringmann and Ono's article "Lifting elliptic cusp
forms to Maass forms with an application to partitions", accepted for
publication. in Proceedings of the National Academy of Sciences, USA.
See a preprint at
http://www.math.wisc.edu/~ono/reprints/106.pdf



Topic #9 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: OP-SF NET Editors
Subject: Mathematics Subject Classification Revision

From "Mathematical Reviews Database" (MathSciNet web site):
http://www.ams.org/mr-database

Mathematical Reviews (MR) and Zentralblatt MATH (Zbl) cooperate in
maintaining the Mathematics Subject Classification (MSC) which is used
by these reviewing services and others to categorize items in the
mathematical sciences literature. The current version, MSC2000, is being
revised for use in 2010. MR and Zbl welcome community input into this
revision process. Comments can be submitted through the classification
feedback form
http://www.msc2010.org/msc-feedback.php
or by email to feedback@msc2010.org . This input will be of great value
as the process moves forward.



Topic #10 ----------- OP-SF NET 14.2 ----------- March 15, 2007

From: J. M. Littleton Littleton@siam.org
Subject: Call for Nominations - SIAG/APDE Prize

CALL FOR NOMINATIONS
SIAG/APDE Prize

The SIAM Activity Group on Analysis of Partial Differential Equations
(SIAG/APDE) will present the SIAG/APDE Prize at the SIAM Conference on
Analysis of PDE (PD07) to be held December 10-12, 2007, in Mesa,
Arizona.

The SIAG/APDE Prize, established in 2005, is awarded to the author(s) of
the most outstanding paper on a topic in PDE published in English in a
peer-reviewed journal within the four calendar years preceding the year
of the award. A candidate paper must bear a publication date between
January 1, 2003, and December 31, 2006. It must contain significant
research contributions to the field of analysis of PDE, as commonly
defined in the mathematical literature, with direct or potential
applications.

The award will consist of a plaque and a certificate containing the
award citation. At least one of the awardees is expected to attend the
award ceremony and to present the paper as a plenary lecture at the
meeting. Travel expenses will be available to reimburse one speaker.

Nominations should include a full bibliographic citation for the paper
and a brief statement outlining the justification for the nomination in
terms of its importance and impact. Nominations should be addressed to
Professor Mary Pugh, Chair, SIAG/APDE Prize Committee and sent by May
15, 2007 to J. M. Littleton at littleton@siam.org . Inquiries should be
addressed to littleton@siam.org . Complete calls for nominations for
SIAM prizes can be found at www.siam.org/prizes/nominations.php .



Topic #11 ----------- OP-SF NET 14.2 ----------- March 15, 2007

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 January and February 2007.

http://arxiv.org/abs/math.SP/0702388

Title: Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients

Authors: David Damanik (Rice), Rowan Killip (UCLA), Barry Simon (Caltech)

Comments: 61 pages

Subj-class: Spectral Theory; Mathematical Physics

http://arxiv.org/abs/math.CO/0702157

Title: Monic non-commutative orthogonal polynomials

Authors: Michael Anshelevich

Comments: 10 pages

Subj-class: Combinatorics; Operator Algebras

MSC-class: Primary 05E35; Secondary 46N

http://arxiv.org/abs/math.RT/0702494

Title: A sequence of matrix valued orthogonal polynomials associated to spherical

functions

Authors: I. Pacharoni, P. Roman

Subj-class: Representation Theory; Mathematical Physics

MSC-class: 33C45

http://aps.arxiv.org/abs/math.CA/0701055

Title: Poisson brackets for orthogonal polynomials on the unit circle

Authors: Irina Nenciu

Comments: 9 pages; updated references

Subj-class: Classical Analysis and ODEs; Symplectic Geometry

MSC-class: 42C05; 53D17

http://aps.arxiv.org/abs/math.CA/0701307

Title: A New Approach to Universality Limits involving Orthogonal Polynomials

Authors: Doron S Lubinsky

Subj-class: Classical Analysis and ODEs

MSC-class: 41, 42

http://aps.arxiv.org/abs/math.CA/0701099

Title: A Survey of Weighted Approximation for Exponential Weights

Authors: Doron S Lubinsky

Comments: 105 pages

Subj-class: Classical Analysis and ODEs

MSC-class: 41, 42

Journal-ref: Surveys in Approximation Theory, 3(2007), 1-105

http://arxiv.org/abs/math.CA/0702220

Title: Choquet order for spectra of higher Lame operators and orthogonal polynomials

Authors: Julius Borcea

Comments: 14 pages, no figures, LaTeX2e

Subj-class: Classical Analysis and ODEs; Complex Variables; Spectral Theory

MSC-class: Primary 34L20; Secondary 30C15, 33C45, 60E15

http://arxiv.org/abs/math.CA/0701883

Title: Root asymptotics of spectral polynomials for the Lame operator

Authors: Julius Borcea, Boris Shapiro

Comments: 13 pages, 3 figures, LaTeX2e

Subj-class: Classical Analysis and ODEs; Spectral Theory

MSC-class: 34L20 (Primary); 30C15, 33C05, 33E05 (Secondary)

http://arxiv.org/abs/math-ph/0701046

Title: On the Universality for Orthogonal Ensembles of Random Matrices

Authors: M.Shcherbina

Comments: 19 pages

Subj-class: Mathematical Physics

MSC-class: 15A52 (Primary); 15A57 (Secondary)

http://aps.arxiv.org/abs/math.FA/0702203

Title: Polynomials on the two dimensional torus

Authors: Greg Knese

Comments: 21 pages

Subj-class: Functional Analysis; Classical Analysis and ODEs; Complex Variables

MSC-class: 42C05; 30E05; 47A57

http://arxiv.org/abs/math.CO/0702158

Title: Free Meixner states

Authors: Michael Anshelevich

Comments: 30 pages

Subj-class: Combinatorics; Operator Algebras

MSC-class: Primary 46L54; Secondary 05E35, 33C47

http://arxiv.org/abs/quant-ph/0702173

Title: Krawtchouk matrices from classical and quantum random walks

Authors: Philip Feinsilver, Jerzy Kocik

Comments: There is a notational change (from Phi to K) from the published version

Journal-ref: Contemporary Mathematics, Volume 287 (2001) 83-96

http://arxiv.org/abs/quant-ph/0702073

Title: Krawtchouk polynomials and Krawtchouk matrices

Authors: Philip Feinsilver, Jerzy Kocik

Journal-ref: Recent advances in applied probability, Springer-Verlag, October, 2004

http://arxiv.org/abs/quant-ph/0702151

Title: A search on Dirac equation

Authors: M Kocak, B Gonul

Comments: 9 pages

Subj-class: Quantum Physics; Mathematical Physics

http://arxiv.org/abs/math.PR/0702314

Title: Measures with zeros in the inverse of their moment matrix

Authors: J. William Helton, Jean B. Lasserre, Mihai Putinar

Comments: 17 pages

Subj-class: Probability; Statistics

MSC-class: 52A20 52A

http://arxiv.org/abs/math-ph/0702016

Title: Discrete and continuous exponential transforms of simple Lie groups of rank two

Authors: Iryna Kashuba, Jiri Patera

Comments: 24 pages, 6 figures

Subj-class: Mathematical Physics

MSC-class: 33E99; 42B99; 42C15; 20F55

http://aps.arxiv.org/abs/math-ph/0702016

Title: Discrete and continuous exponential transforms of simple Lie groups of rank two

Authors: Iryna Kashuba, Jiri Patera

Comments: 24 pages, 6 figures

Subj-class: Mathematical Physics

MSC-class: 33E99; 42B99; 42C15; 20F55

http://arxiv.org/abs/math.CA/0701262v1

Title: Generalized Convexity and Inequalities

Authors: G. D. Anderson, M. K. Vamanamurthy, M. Vuorinen

Comments: 17 pages

Subj-class: Classical Analysis and ODEs

MSC-class: 33C05; 33C20 (Primary); 26A51 (Secondary)

http://arxiv.org/abs/math.CV/0701228

Title: Modular Equations and Distortion Functions

Authors: G. D. Anderson, S.-L. Qiu, M. Vuorinen

Comments: 23 pages

Subj-class: Complex Variables; Classical Analysis and ODEs

MSC-class: 30C62 (primary) ;33E05 (secondary)

http://arxiv.org/abs/nlin/0702028

Title: The Semiclassical Modified Nonlinear Schroedinger Equation I: Modulation

Theory and Spectral Analysis

Authors: Jeffery C. DiFranco, Peter D. Miller

Comments: 56 Pages, 21 Figures

Subj-class: Exactly Solvable and Integrable Systems

http://arxiv.org/abs/math.FA/0702093

Title: Kernel theorem for the space of Beurling - Komatsu tempered ultradistibutions

Authors: Z. Lozanov-Crvenkovic, D. Perisic

Comments: accepted for publication in Integral transforms and special functions

Subj-class: Functional Analysis

MSC-class: Primary 46F05; Secondary 46F12, 42A16, 35S

http://arxiv.org/abs/math.PR/0701455

Title: Renewal processes of Mittag-Leffler and Wright type

Authors: Francesco Mainardi, Rudolf Gorenflo, Alessandro Vivoli

Comments: 31 pages, 6 figures

Subj-class: Probability; Mathematical Physics

MSC-class: 26A33; 33E12; 44A10; 60G50; 60J05; 60K05

Journal-ref: Fractional Calculus and Applied Analysis, Vol. 8 No 1 (2005), pp. 7-38

http://arxiv.org/abs/math.CV/0702520

Title: Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals

Authors: Francesco Mainardi, Gianni Pagnini

Comments: 17 pages

Subj-class: Complex Variables; History and Overview

MSC-class: 33E30, 33C20, 33C60, 34-XX, 39-XX, 01-99

Journal-ref: Journal of Computational and Applied Mathematics, Vol. 153 (2003),

pp. 331-342

http://arxiv.org/abs/math.PR/0702133

Title: Mellin transform and subordination laws in fractional diffusion processes

Authors: Francesco Mainardi, Gianni Pagnini, Rudolf Gorenflo

Comments: 21 pages

Subj-class: Probability; Mathematical Physics

MSC-class: 26A33, 33C60, 42A38, 44A15, 44A35, 60G18, 60G52

Journal-ref: Fractional Calculus and Applied Analysis, Vol. 6 No 4 (2003), pp.

441-459

http://arxiv.org/abs/math.PR/0701454

Title: A fractional generalization of the Poisson processes

Authors: Francesco Mainardi, Rudolf Gorenflo, Enrico Scalas

Comments: 15 pages

Subj-class: Probability; Mathematical Physics

MSC-class: 26.A33; 33E12; 60G50; 60K05

Journal-ref: Vietnam Journal of Mathematics, Vol. 32 SI (2004), pp. 53-64

http://arxiv.org/abs/math-ph/0701069

Title: Analytical properties and applications of the Wright function

Authors: Rudolf Gorenflo, Yuri Luchko, Francesco Mainardi

Comments: 34 pages. 3rd Workshop TMSF (Transform Methods and Special

Functions)Sofia, Bulgaria, 1999

Subj-class: Mathematical Physics; Complex Variables

MSC-class: 33E20,33C20, 30C15, 30D15, 26A33, 45J05, 45K05

Journal-ref: Fractional Calculus and Applied Analysis, Vol. 2 No 4 (1999) 383-414

http://arxiv.org/abs/math.GM/0701841

Title: A Survey on the Special Function "Shin"

Authors: Andrea Ossicini

Comments: 46 pages, 15 figures

Subj-class: General Mathematics

MSC-class: 33B10;33B15;26A48

Journal-ref: Kragujevac Journal of Mathematics , 27,2005 ; 29,2006 and 30,2007

http://arxiv.org/abs/hep-th/0701284

Title: Quantization of the Riemann Zeta-Function and Cosmology

Authors: I. Ya. Aref'eva, I.V. Volovich

Comments: 14 pages, corrected typos, references and comments added

Subj-class: High Energy Physics - Theory; Mathematical Physics; Algebraic

Geometry

http://arxiv.org/abs/math.HO/0701160

Title: A simple reformulation of Riemann Zeta function

Authors: Riccardo Poli, William B. Langdon

Subj-class: History and Overview

http://arxiv.org/abs/math.NT/0701726

Title: The zeros of the derivative of the Riemann zeta function near the critical line

Authors: Haseo Ki

Comments: 19 pages

Subj-class: Number Theory

MSC-class: 11M26 ; 11M06

http://arxiv.org/abs/math.NT/0701202

Title: On the Riemann zeta-function and the divisor problem IV

Authors: Aleksandar Ivi\'c

Comments: 11 pages

Subj-class: Number Theory

MSC-class: 11N37, 11M06

Journal-ref: Uniform Distribution Theory 1(2006), 125-135

http://arxiv.org/abs/math.CA/0702243

Title: An efficient algorithm for accelerating the convergence of oscillatory series,

useful for computing the polylogarithm and Hurwitz zeta functions

Authors: Linas Vepstas

Comments: 35 pages, 5 graphs, 14 full-color phase plots Added discussion of a

fast Hurwitz algorithm, Expanded presentation of the monodromy

Subj-class: Classical Analysis and ODEs; Numerical Analysis; Number Theory

MSC-class: 65B10 (primary), 11M35, 11Y35, 33F05, 68W25 (secondary)

http://arxiv.org/abs/math.FA/0701097

Title: Meromorphic continuation of dynamical zeta functions via transfer operators

Authors: Joachim Hilgert, Florian Rilke

Comments: 34 pages

Subj-class: Functional Analysis

MSC-class: 46N55 (primary), 37C30 (secondary)

http://arxiv.org/abs/math-ph/0702034

math-ph/0702034 [abs, ps, pdf, other] :

Title: H = x p with interaction and the Riemann zeros

Authors: German Sierra

Comments: 23 pages, 12 figures, minor corrections

Subj-class: Mathematical Physics; Number Theory

http://arxiv.org/abs/math.NT/0702300

Title: An efficient algorithm for the computation of Bernoulli numbers

Authors: Greg Fee, Simon Plouffe

Subj-class: Number Theory; Classical Analysis and ODEs

MSC-class: 11B68

http://arxiv.org/abs/quant-ph/0702107

Title: The Quantum Mellin transform

Authors: J. Twamley, G. J. Milburn

Comments: 23 pages, 6 Figures

Journal-ref: New J Phys 8 328 (2006)

http://arxiv.org/abs/math.RA/0701876

Title: Planar Analytic Functions

Authors: Lothar Gerritzen

Comments: 9 pages, no figures

Subj-class: Rings and Algebras; Combinatorics

MSC-class: 17A50; 05C05

http://arxiv.org/abs/math.CA/0701175

Title: Hardy-type theorem for functions orthogonal with respect to their zeros.

The Jacobi weight case

Authors: L. D. Abreu, F. Marcellan, S. Yakubovich

Comments: 10 pages

Subj-class: Classical Analysis and ODEs; Complex Variables

http://arxiv.org/abs/math.NT/0701362

Title: Integral ratios of factorials and algebraic hypergeometric functions

Authors: Fernando Rodriguez-Villegas

Comments: Summary of talk at 2005 Explicit Methods in Number Theory,

Oberwolfach

Subj-class: Number Theory

http://arxiv.org/abs/math.QA/0701242

Title: Representations of U_q[osp(1/2)] and basic hypergeometric functions

Authors: N. Aizawa, R. Chakrabarti, S. S. Naina Mohammed, J. Segar

Comments: 16 pages, no figures

Subj-class: Quantum Algebra; Mathematical Physics

http://aps.arxiv.org/abs/math.NA/0702360

Title: On the number of minima of a random polynomial

Authors: Jean-Pierre Dedieu, Gregorio Malajovich

Comments: 21 pages

Subj-class: Numerical Analysis; Optimization and Control; Probability

MSC-class: 65H20; 60D05; 90C30

http://arxiv.org/abs/math.CA/0701677

Title: An Analytic Formula for the A_2 Jack Polynomials

Authors: Vladimir V. Mangazeev

Comments: This is a contribution to the Vadim Kuznetsov Memorial Issue

on Integrable Systems and Related Topics, published in SIGMA (Symmetry,

Integrability and Geometry: Methods and Applications) at

http://www.emis.de/journals/SIGMA/

Subj-class: Classical Analysis and ODEs; Mathematical Physics; Exactly

Solvable and Integrable Systems

Journal-ref: SIGMA 3 (2007), 014, 11 pages

http://arxiv.org/abs/math.RT/0701643

Title: Universal graded characters and limit of Lusztig $q$-analogues

Authors: Cedric Lecouvey

Subj-class: Representation Theory; Combinatorics

http://arxiv.org/abs/math.NT/0701251v2

Title: Powers of Euler's q-Series

Authors: Steven Finch

Comments: 17 pages; simplified sections 7 and 8

Subj-class: Number Theory

MSC-class: 11N37 (Primary) 11F20, 11Y60, 40A25, 65B99 (Secondary)

http://arxiv.org/abs/math.CV/0701923

Title: Asymptotics of non-intersecting Brownian motions and a 4 x 4

Riemann-Hilbert problem

Authors: Evi Daems, Arno Kuijlaars, Wim Veys

Comments: 39 pages, 16 figures

Subj-class: Complex Variables; Probability

http://arxiv.org/abs/quant-ph/0702037

Title: Two-particle Wigner functions in a one-dimensional Calogero-Sutherland

potential

Authors: A. Tegmen, T. Altanhan, B. S. Kandemir

Comments: 14 pages, 4 figures, The original publication is available at

www.eurphysj.org

Journal-ref: Eur Phys J D41 (2007) 397-402

http://arxiv.org/abs/math.CA/0701135

Title: Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

Authors: Luc Vinet, Alexei Zhedanov

Comments: This is a contribution to the Vadim Kuznetsov Memorial Issue on

Integrable Systems and Related Topics, published in SIGMA (Symmetry,

Integrability and Geometry: Methods and Applications) at

http://www.emis.de/journals/SIGMA/

Subj-class: Classical Analysis and ODEs; Mathematical Physics

Journal-ref: SIGMA 3 (2007), 003, 18 pages

http://arxiv.org/abs/math.CA/0701436

Title: Generalized elliptic integrals

Authors: Ville Heikkala, Mavina K. Vamanamurthy, Matti Vuorinen

Comments: 32 pages, 4 figures

Subj-class: Classical Analysis and ODEs; Complex Variables

MSC-class: 33B15, 30C62

http://arxiv.org/abs/math.CA/0701438

Title: Generalized Elliptic Integrals II

Authors: V. Heikkala, H. Lindén, M. K. Vamanamurthy, M. Vuorinen

Comments: 28 pages

Subj-class: Classical Analysis and ODEs; Complex Variables

MSC-class: 33B15

http://arxiv.org/abs/math.AP/0701204

Title: Remarks on the general Funk-Radon transform and thermoacoustic

tomography

Authors: Victor Palamodov

Subj-class: Analysis of PDEs; Numerical Analysis

MSC-class: 44A12; 65R32; 92C55

http://arxiv.org/abs/quant-ph/0702096

Title: The method of partial wave functions and the structure of time interval

between the subsequent quantum transitions

Authors: A.G. Shkorbatov

Comments: 45 pages, 3 figures

http://arxiv.org/abs/math.RT/0702137

Title: Bilinear forms on $\mathfrak{sl}_2$-modules and a hypergeometric identity

Authors: Johan Kåhrström

Comments: Changed claims of new identity to references of known identity.

Added reference to book by Klimyk and Vilenkin

Subj-class: Representation Theory; Combinatorics

http://arxiv.org/abs/nlin/0701001

Title: Hypergeometric solutions to the q-Painlev\'e equation of type $A_4^{(1)}$

Authors: Taro Hamamoto, Kenji Kajiwara

Comments: 16 pages, IOP style

Subj-class: Exactly Solvable and Integrable Systems; Classical Analysis and ODEs

http://arxiv.org/abs/math-ph/0702082

Title: The Wigner function of a q-deformed harmonic oscillator model

Authors: E.I. Jafarov, S. Lievens, S.M. Nagiyev, J. Van der Jeugt

Comments: 16 pages, 24 EPS figures, uses IOP style LaTeX

Subj-class: Mathematical Physics; Dynamical Systems

MSC-class: 81S30; 39A13; 33D45; 33D90

http://arxiv.org/abs/math.CA/0702275

Title: Remarks on the Zeros of the Associated Legendre Functions with Integral Degree

Authors: J.F. van Diejen

Comments: 7 pages, 2 figures

Subj-class: Classical Analysis and ODEs

MSC-class: 33C05

http://arxiv.org/abs/math.CV/0701822

Title: Meromorphic almost periodic functions

Authors: S. Favorov, N. Parfyonova

Subj-class: Complex Variables; Classical Analysis and ODEs

MSC-class: 30D30; 42A75

Journal-ref: Matematichni Studii, v.13, No.2 (2000), p.190-198

http://arxiv.org/abs/math.CO/0702595

Title: A new method for computing asymptotics of diagonal coefficients of

multivariate generating functions

Authors: Alexander Raichev, Mark C. Wilson

Comments: 9 pages, no figures

Subj-class: Combinatorics

MSC-class: 05A16; 05A15

http://arxiv.org/abs/math.CA/0702446

Title: The fixed point for a transformation of Hausdorff moment sequences

and iteration of a rational function

Authors: Christian Berg (University of Copenhagen), Antonio J. Durán

(Universidad de Sevilla)

Comments: 29 pages,1 figure

Subj-class: Classical Analysis and ODEs; Complex Variables

MSC-class: 44A60;30D05

Topic #12 ----------- OP-SF NET 14.2 ----------- March 15, 2007

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://cio.nist.gov/esd/emaildir/lists/opsfnet/maillist.html

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 #13 ----------- OP-SF NET 14.2 ----------- March 15, 2007

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 dominicd@newpaltz.edu or
muldoon@yorku.ca .

Contributions to OP-SF NET 14.3 should be sent by May 1, 2007.

o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
Send submissions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
Back issues can be obtained at the WWW addresses:
http://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://cio.nist.gov/esd/emaildir/lists/opsfnet/maillist.html

WWW home page of this Activity Group:
http://math.nist.gov/opsf/
Information on joining SIAM
and this activity group: service@siam.org
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
The elected Officers of the Activity Group (2005-2007) are:
Peter A. Clarkson, Chair
Daniel W. Lozier, Vice Chair
Javier Segura, Secretary
Peter A. McCoy, Program Director
The appointed officers are:
Diego Dominici, OP-SF NET co-editor
Martin Muldoon, OP-SF NET co-editor
Bonita Saunders, Webmaster
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o