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July 15, 2004
O P - S F N E T Volume 11, Number 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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. Open PhD student position
2. Preprints in arXiv.org
3. About the Activity Group
4. Submitting contributions to OP-SF NET
Calendar of Events:
2004
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 11-15: SIAM Annual Meeting, New Orleans, Louisiana, USA
http://www.siam.org/meetings/AN05/
July 25-29: OPSFA8/ICDEA10 - Eighth International Symposium on
Orthogonal Polynomials, Special Functions and Applications
and Tenth International Conference on Difference Equations and
Applications, Munich, Germany 10.6 #3
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 11.4 ------------- July 15, 2004
~~~~~~~~~~~~~~
From: Michael Schlosser
Subject: Open PhD student position
Michael Schlosser at the University of Vienna is looking for a PhD
student whom he could provide full employment, up to 28 months,
through his new FWF (Austrian Science Funds) project 'Macdonald
polynomials and basic hypergeometric series'. The starting date of
this pure research position is August 1, 2004, or some later agreeable
date. An ideal candidate would be an EC national having some prior
knowledge in q-series, symmetric functions, special functions, algebra
and/or representation theory. Further desirable (but not necessary)
are basic programming skills in some computer algebra program. If
interested, please write to Michael Schlosser at
schlosse@ap.univie.ac.at
Topic #2 ------------ OP-SF NET 11.4 ------------- July 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.CA/0405050
Title: Another proofs of the geometrical forms of Paley-Wiener theorems
for the Dunkl transform and inversion formulas for the Dunkl
interwining operator and for its dual
Authors: Khalifa Trimeche
Comments: 23 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33C80,43A32,44A35,51F15
http://www.arXiv.org/abs/math.QA/0405072
Title: Sklyanin invariant integration
Authors: Hjalmar Rosengren
Comments: 21 pages
Subj-class: Quantum Algebra; Classical Analysis and ODEs
MSC-class: 11F50; 17B37; 33D80
http://www.arXiv.org/abs/math.SP/0405111
Title: Orthogonal polynomials on the unit circle: New results
Authors: Barry Simon
Subj-class: Spectral Theory
MSC-class: 42C05, 47B35
http://www.arXiv.org/abs/math.NT/0405162
Title: Representation of the Gauss hypergeometric function by multiple
polylogarithms and relations of multiple zeta values
Authors: Shu Oi
Subj-class: Number Theory; Classical Analysis and ODEs; Quantum
Algebra
MSC-class: 11M06; 40B05; 33C05
http://www.arXiv.org/abs/math.CV/0405259
Title: Singularities of Nonconfluent Hypergeometric Functions in Several
Variables
Authors: Mikael Passare, Timur Sadykov, August Tsikh
Comments: 30 pages, 7 figures
Subj-class: Complex Variables; Analysis of PDEs
MSC-class: 32A20; 33C70
http://www.arXiv.org/abs/math.CA/0405308
Title: On the algebraic solutions of the sixth Painlev\'e equation
related to second order Picard-Fuchs equations
Authors: Bassem Ben Hamed, Lubomir Gavrilov
Comments: 9 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 32G34; 34M55
http://www.arXiv.org/abs/math.CA/0405309
Title: Lower-upper triangular decompositions, q=0 limits, and p-adic
interpretations of some q-hypergeometric orthogonal polynomials
Authors: Tom H. Koornwinder, Uri Onn
Comments: 24 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33D45; 33D80
http://www.arXiv.org/abs/math.NA/0405316
Title: Alternative Orthogonal Polynomials
Authors: Vladimir Chelyshkov
Comments: 5 pages
Subj-class: Numerical Analysis; Classical Analysis and ODEs
MSC-class: 33C45
http://www.arXiv.org/abs/math.QA/0405331
Title: Asymptotics of q-difference equations
Authors: Stavros Garoufalidis, Jeff Geronimo
Comments: 25 pages, 4 figures
Subj-class: Quantum Algebra; Geometric Topology
MSC-class: 57N10, 57M25
http://www.arXiv.org/abs/math.CA/0405368
Title: Positivity of Dunkl's intertwining operator via the trigonometric
setting
Authors: Margit Rösler, Michael Voit
Comments: 7 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C52, 33C67
http://www.arXiv.org/abs/math.AG/0405399
Title: Transform\'ee de Mellin des int\'egrales- fibres associ\'ees \`a
l'intersection compl\`ete non-d\'eg\'en\'er\'ee
Authors: Susumu Tanabé
Comments: 46 pages
Subj-class: Algebraic Geometry; Classical Analysis and ODEs
MSC-class: 33C70, 14M25, 14J32
http://www.arXiv.org/abs/math.QA/0405402
Title: q,k-generalized gamma and beta functions
Authors: Rafael Diaz, Carolina Teruel
Comments: 17 pages
Subj-class: Quantum Algebra
http://www.arXiv.org/abs/math.CA/0405559
Title: Hierarchy of B\"acklund Transformation Groups of the Painlev\'e
Systems
Authors: Masaki Suzuki, Nobuhiko Tahara, Kyoichi Takano
Comments: 11 pages, to be published in J. Math. Soc. Japan
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55 (Primary) 37K35 (Secondary)
http://www.arXiv.org/abs/math.CA/0405592
Title: Markov's Transformation of Series and the WZ Method
Authors: Margo Kondratieva, Sergey Sadov
Comments: 13 pages
Subj-class: Classical Analysis and ODEs; History and Overview
MSC-class: 33F10; 01A55
http://www.arXiv.org/abs/math.CO/0405594
Title: Inversions relating Stirling, tanh, Lah numbers and an
application to Mathematical Statistics
Authors: G. Della Riccia
Comments: 11 pages
Subj-class: Combinatorics
MSC-class: 05A19, 05A10 (Primary); 60E10, 05A15 (Secondary)
http://www.arXiv.org/abs/math.CA/0405596
Title: On hypergeometric functions and Pochhammer $k$-symbol
Authors: Rafael Diaz, Eddy Pariguan
Comments: 16 pages, 3 figures
Subj-class: Classical Analysis and ODEs
http://www.arXiv.org/abs/math.CA/0406049
Title: Some remarks on another proof of geometrical Paley-Wiener
theorems for the Dunkl transform
Authors: Marcel de Jeu
Comments: LaTeX, 2 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: 33C52; 33C67
http://www.arXiv.org/abs/math.QA/0406060
Title: A Kato-Lusztig formula for nonsymmetric Macdonald polynomials
Authors: Bogdan Ion
Comments: 28 pg
Subj-class: Quantum Algebra; Representation Theory
http://www.arxiv.org/abs/math.NT/0406235
Title: Some considerations in connection with Kurepa's function
Authors: Branko J. Malesevic
Comments: 11 pages
Subj-class: Number Theory; Complex Variables
MSC-class: 30E20; 11J91
Journal-ref: Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. 14
(2003), 30-40
http://www.arxiv.org/abs/math.NT/0406236
Title: Some considerations in connection with alternating Kurepa's function
Authors: Branko J. Malesevic
Comments: 9 pages
Subj-class: Number Theory; Complex Variables
MSC-class: 30E20; 11J91
http://www.arxiv.org/abs/math.NA/0406263
Title: Application of the Wavelet Transform with a Piecewise Linear
Basis to the Evaluation of the Hankel Transform
Authors: P. S. Zykov, E. B. Postnikov
Subj-class: Numerical Analysis; Mathematical Physics
MSC-class: 44A15; 65R10
Journal-ref: Comp. Math. and Math. Phys., Vol. 44, No. 3, 2004, pp.
396-400
http://www.arxiv.org/abs/math.AG/0406281
Title: The fifty-two icosahedral solutions to Painleve VI
Authors: Philip Boalch
Comments: 17 pages, 1 table
Subj-class: Algebraic Geometry; Mathematical Physics; Exactly
Solvable and Integrable Systems
http://www.arxiv.org/abs/math.CV/0406306
Title: Beta and Gamma functions of Cayley-Dickson numbers
Authors: S.V. Ludkovsky
Comments: 11 pages
Subj-class: Complex Variables; Rings and Algebras
MSC-class: 30G35; 17A70
http://www.arxiv.org/abs/math.NT/0406307
Title: Algebraic properties of a family of Generalized Laguerre Polynomials
Authors: Farshid Hajir
Comments: 19 pages
Subj-class: Number Theory
MSC-class: 11R09; 11R32
http://www.arxiv.org/abs/math.NT/0406308
Title: On the Galois group of Generalized Laguerre Polynomials
Authors: Farshid Hajir
Comments: 6 pages
Subj-class: Number Theory
MSC-class: 11R32; 11R09
http://www.arxiv.org/abs/math.NT/0406312
Title: An Explicit Formula Relating Stieltjes Constants and Li's Numbers
Authors: Krzysztof Maslanka
Comments: 5 pages, 1 figure
Subj-class: Number Theory; Numerical Analysis
MSC-class: 11M26
http://www.arxiv.org/abs/math.CO/0406323
Title: Some formulae for bivariate Fibonacci and Lucas polynomials
Authors: Mario Catalani
Subj-class: Combinatorics
MSC-class: 11B39
http://www.arxiv.org/abs/math.CO/0406328
Title: On some $q$-identities related to divisor functions
Authors: Jiang Zeng
Comments: To appear in Adv. in Appl. Math
Subj-class: Combinatorics
MSC-class: O5A05; 05E05
http://www.arxiv.org/abs/math.CA/0406337
Title: A Series Expansion for Integral Powers of Arctangent
Authors: Michael Milgram
Comments: 11 pages
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 26A09, 33B10, 33C05
http://www.arxiv.org/abs/math.CA/0406338
Title: On Some Sums of Digamma and Polygamma functions
Authors: Michael Milgram
Comments: 20 pages
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 33B15, 33C20 (Primary) 30-02, 30B99,33-02,40-02,40C99
(Secondary)
http://www.arxiv.org/abs/math.CO/0406378
Title: Combinatorial proofs of inverse relations and log-concavity for
Bessel numbers
Authors: Hyuk Han, Seunghyun Seo
Comments: 9 pages, 4 figures
Subj-class: Combinatorics
MSC-class: 05A15 (Primary) 05A19, 05A20, 05C70 (Secondary)
http://www.arxiv.org/abs/math.SP/0406395
Title: On location of discrete spectrum for complex Jacobi matrices
Authors: I. Egorova, L. Golinskii (Institute for Low Temperature
Physics, Kharkiv, Ukraine)
Comments: LaTeX, 7 pages
Subj-class: Spectral Theory
MSC-class: 47B36; 47A10; 47A55
http://www.arxiv.org/abs/math.CA/0406401
Title: Integrals of polylogarithmic functions, recurrence relations, and
associated Euler sums
Authors: P. Freitas
Comments: 17 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33E20; 11M41
http://www.arxiv.org/abs/math.CA/0406484
Title: The dbar steepest descent method and the asymptotic behavior of
polynomials orthogonal on the unit circle with fixed and
exponentially varying nonanalytic weights
Authors: K. T.-R. McLaughlin, P. D. Miller
Comments: Visit the website for this paper:
http://www.math.lsa.umich.edu/~millerpd/ResearchAndPublications/CP.html
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 35Q15; 42C05; 30C15
http://www.arxiv.org/abs/math.CA/0406616
Title: Integral representations for multiple Hermite and multiple
Laguerre polynomials
Authors: Pavel M. Bleher, Arno B.J. Kuijlaars
Comments: 12 pages
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 30E20; 42C05
http://www.arxiv.org/abs/math.CO/0406620
Title: The method of characteristics, and "problem 89" of Graham, Knuth
and Patashnik
Authors: Herbert S. Wilf
Subj-class: Combinatorics
MSC-class: 05A10
http://www.arxiv.org/abs/math-ph/0406007
Title: Sum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums
Authors: Andrej Zlatos
Subj-class: Mathematical Physics
MSC-class: 47B36; 34L15
http://www.arxiv.org/abs/math-ph/0406042
Title: Hypergeometric Generating Function of L-function, Slater's
Identities, and Quantum Invariant
Authors: Kazuhiro Hikami, Anatol N. Kirillov
Comments: 18 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0406049
Title: Astrophysical Thermonuclear Functions for Boltzmann-Gibbs
Statistics and Tsallis Statistics
Authors: R.K. Saxena, A.M. Mathai, H.J. Haubold
Comments: 10 pages, LaTeX
Subj-class: Mathematical Physics; Classical Analysis and ODEs
MSC-class: 33C20 (Primary), 33C90 (Secondary)
Topic #3 ------------ OP-SF NET 11.4 ------------- July 15, 2004
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special
Functions consists of a broad set of mathematicians, both pure and
applied. The Group also includes engineers and scientists, students
as well as experts. We have around 140 members scattered about in more
than 20 countries. Whatever your specialty might be, we welcome your
participation in this classical, and yet modern, topic.
Our WWW home page is:
http://math.nist.gov/opsf/
This is a convenient point of entry to all the services provided by
the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).
The Activity Group sponsors OP-SF NET, which is transmitted
periodically by SIAM. It is provided as a free public service;
membership in SIAM is not required. The OP-SF Net Editor is Martin
Muldoon (muldoon@yorku.ca).
To receive the OP-SF NET, send your name and email address to
poly-request@siam.org.
Back issues can be obtained at the WWW addresses:
http://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
For several years the Activity Group sponsored a printed Newsletter,
most recently edited by Rafael Yanez. Back issues are accessible at:
http://www.mathematik.uni-kassel.de/~koepf/siam.html
Given the widespread availability of email and the Internet, the need
for the printed Newsletter has decreased. Discussions are underway
concerning whether an annual printed Newsletter or Annual Report
should be instituted.
SIAM has several categories of membership, including low-cost
categories for students and residents of developing countries. For
current information on SIAM and Activity Group membership, contact:
Society for Industrial and Applied Mathematics
3600 University City Science Center
Philadelphia, PA 19104-2688 USA
phone: +1-215-382-9800
email: service@siam.org
WWW : http://www.siam.org
http://www.siam.org/membership/outreachmem.htm
Finally, the Activity Group operates an email discussion group, called
OP-SF Talk. To subscribe, send the email message
subscribe opsftalk Your Name
to listproc@nist.gov. To contribute an item to the discussion, send
email to opsftalk@nist.gov.
The archive of all messages is accessible at:
http://math.nist.gov/opsftalk/archive
Topic #4 ------------ OP-SF NET 11.4 ------------- July 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 11.5 should be sent by September 1, 2004.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
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Send submissions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
Back issues can be obtained at the WWW addresses:
http://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
WWW home page of this Activity Group:
http://math.nist.gov/opsf/
Information on joining SIAM
and this activity group: service@siam.org
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The elected Officers of the Activity Group (2002-2004) are:
Daniel W. Lozier, Chair
Walter Van Assche, Vice Chair
Peter Clarkson, Secretary
Francisco Marcellan, Program Director
The appointed officers are:
Rafael J. Yanez, Newsletter Editor
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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