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July 15, 2005
O P - S F N E T Volume 12, 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. Conference on Fourier and Complex Analysis
2. "Liber Amicorum" for Nico Temme
3. Surveys in Approximation Theory
4. Book on Constructive Approximation
5. Preprints in arXiv.org
6. About the Activity Group
7. Submitting contributions to OP-SF NET
Calendar of Events:
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 11.6 #3 12.1 #6
http://www-m6.ma.tum.de/~ruffing/Conference2005/
July 25-30: ISAAC Congress 2005, Catania, Italy (International
Society for Analysis, its Applications and Computation)
http://mathisaac.org/
August 1-5: Conference on Differential & Difference Equations and
Applications, Melbourne, Florida, USA
http://my.fit.edu/~agarwal/
September 4-29: Short programme "The Painleve Equations and Monodromy
Problems", Newton Institute. Cambridge, UK
http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3, #2
October 8-9: American Mathematical Society Eastern Section Meeting
including Special Session on Special Functions and Orthogonal
Polynomials: Theory and Applications, Bard College,
Annandale-on-Hudson, New York, USA
http://www.ams.org/amsmtgs/2120_program.html
2006
March 27-31: Spectral Theory and Mathematical Physics,
A Conference in Honor of Barry Simon's 60th Birthday,
Pasadena, California, USA 12.2, #2
http://www.math.caltech.edu/simonfest.html
May 6-11: International Conference on Fourier and Complex Analysis:
Classical Problems - Current View, Protaras, Cyprus 12.4, #1
July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
September (exact date to be announced): AMADE 2006, Minsk, Belarus
http://www.amade-bsu.com/ 12.3 #3
Topic #1 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
From: Stamatis Koumandos
Subject: Conference on Fourier and Complex Analysis
Preliminary Announcement
The Department of Mathematics and Statistics
of the University of Cyprus will organize an
INTERNATIONAL CONFERENCE ON FOURIER AND COMPLEX ANALYSIS:
CLASSICAL PROBLEMS - CURRENT VIEW
MAY 6-11, 2006
PROTARAS, CYPRUS
The main theme of the conference is the state of classical problems in
Fourier and Complex Analysis today and the stimulus they provide for the
interaction between researchers working in different branches of
Analysis.
The following mathematicians will participate with an invited talk:
M. Andersson (Goteborg), C. Berenstein (College Park), C. Berg
(Copenhagen), K. Kazarian (Madrid), S. Konyagin (Moscow), A. Olevskii
(Tel-Aviv), A. Sebbar (Bordeaux), N. Tarkhanov (Potsdam), V. Totik
(Szeged), W. Trebels (Darmstadt), A. Tsikh (Krasnoyarsk). Further invited
speakers are expected.
Due to the geographical position of Cyprus, the conference will be
organized as follows:
Arrival : Saturday, May 6, 2006 (most of the flights arrive late
afternoon or early evening).
Conference: May 7,8,9,10, 2006. Each morning session will consist of
three lectures by invited speakers (including breaks). In the early
afternoons there will be parallel sessions for short 20 minute
presentations (at most 4 talks in each session). One afternoon will be
free.
Departure: Thursday, May 11, 2006 (most flights depart in the morning).
We will be staying at the Hotel Tetyk, 50 meters from the sandy Protaras
beach. In early May the temperature is about 24-27 C. The complete
package (five nights in the hotel, half-board, two conference dinners,
related material, conference fees) will cost approximately 100 Cyprus
Pounds (about 172 Euro at the present exchange rate) for a single room
and about 90 Cyprus pounds (or 155 Euro) per person for a double room.
We expect to have special rates for the participants who wish to extend
their stay or/and for accompanying persons. More information will be
available on the web-page of the conference which will be opened (after
the First Announcement) by the end of September 2005.
Organizing committee: G. Alexopoulos, S. Koumandos, G. Kyriazis,
E. Samiou, A. Vidras
http://www.mas.ucy.ac.cy
Topic #2 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: "Liber Amicorum" for Nico Temme
Tom Koornwinder informs us of a "Liber Amicorum"
for Nico Temme, on the occasion of his official retirement from CWI. It
includes a very interesting account by Tom entitled "Nico Temme, the
Askey scheme and me, 1968-2005". This article contains a version of the
Askey scheme where all boxes are filled with pictures of the people for
whom the polynomials are named. There are also some interesting
pictures of Tom and Nico in earlier times. The paper is on the web, see
http://www.science.uva.nl/~thk/art/informal.html
Topic #3 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Surveys in Approximation Theory
This is from AT-NET BULLETIN NO. 129, 17.05.2005
This is to inform you about a project we have started called "Surveys in
Approximation Theory" (SAT). As the name suggests, this is meant to be a
collection of surveys in the area of approximation theory. It is
web-based and free.
Its main homepage is at:
http://www.math.technion.ac.il/sat/
SAT is not meant as a first-publication journal, nor a collection of
electronic monographs or textbooks. Instead, the survey articles we hope
to collect here are meant to review a topic while citing, explaining and
assessing the most relevant, important and interesting aspects of the
topic. We hope that, in this manner, SAT will provide a valuable and
unique service to the approximation theory and mathematical community.
Articles may be broad or narrow in scope. The essential requirements
are a well specified topic, together with clear exposition.
Articles will appear as they are ready. All articles will be peer
reviewed (refereed). Peer reviewing is essential in the maintenance of
high standards. No attempt will be made to speed up the refereeing
process at the cost of quality.
If you wish to submit an article, please confer with any one of us and
let us have a tentative title and a brief description of planned
contents.
If you would like to be notified of new papers accepted to SAT then
subscribe to the electronic mailing list.
We subscribe to the notion that mathematical research and exposition
should be freely available on-line. That should be the 21st century
meaning of the word "publication". This is one motivation for SAT.
Carl de Boor, Allan Pinkus, Vilmos Totik
Topic #4 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Book on Constructive Approximation
This is from AT-NET BULLETIN NO. 129, 17.05.2005
From: Detlef H. Mache or
New ISNM - Publication:
"Trends and Applications
in Constructive Approximation"
by
De Bruin, M.G., Delft (The Netherlands)
Mache, D.H., Bochum (Germany)
Szabados, J., Budapest (Hungary)
ISNM - International Series of Numerical Mathematics, Vol. 151,
Springer Group - Birkhauser Verlag (2005). 312 pages. Hardcover.
ISBN 3-7643-7124-2
This volume contains contributions from international experts on the
fields of Constructive Approximation. Constructive Approximation has
reached out to encompass the computational and approximation-theoretical
aspects of various interesting fields in Applied Mathematics such as
(multivariate) approximation methods, quasi-interpolation, and
approximation by (orthogonal) polynomials, as well as the modern
mathematical developments in neuro fuzzy approximation, RBF-networks,
industrial and engineering applications.
Articles from: Adell, Altomare, Braess, Catinas, Davydov, de Bruin,
Della Vecchia, Igel, Kuzmin, Mache, Morandi, Mastroianni, Mazure,
Mhaskar, Meyer, Michels, Obermaier, Platte, Rasa, Sablonniere, Turek,
Toussaint, Szwarc, Szabados, Vertesi, Wiegand and others.
Information under: mache@math.uni-dortmund.de or
mache@tfh-bochum.de
or use the webpage:
http://www.mathematik.uni-dortmund.de/~mache/mache.htm
Topic #5 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
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://arxiv.org/abs/math.RA/0505041
Title: Normalized Leonard pairs and Askey-Wilson relations
Authors: Raimundas Vidunas
Comments: 21 pages
Subj-class: Rings and Algebras; Quantum Algebra
MSC-class: 33C45, 33D45, 17B37, 05E35
http://arxiv.org/abs/math.CA/0505058
Title: Parametric Euler Sum Identities
Authors: David Borwein, Jonathan M. Borwein, David M. Bradley
Comments: 12 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 11M41
http://arxiv.org/abs/math.CA/0505060
Title: On a claim of Ramanujan about certain hypergeometric series
Authors: David M. Bradley
Comments: 7 pages, AMSTeX
Subj-class: Classical Analysis and ODEs
MSC-class: 33C20
Journal-ref: Proceedings of the American Mathematical Society, Vol. 121,
No. 4, August 1994, pp. 1145--1149
http://arxiv.org/abs/math.NT/0505078
Title: Series acceleration formulas for Dirichlet series with periodic
coefficients
Authors: David M. Bradley
Comments: 17 pages, AMSLaTeX, Math Reviews: MR #2003a:11112
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11M06 (Primary) 11M41, 11Y60 (Secondary)
Journal-ref: The Ramanujan Journal, Vol. 6, No. 3, September 2002, pp.
331--346
http://arxiv.org/abs/math.CA/0505093
Title: Searching symbolically for Apery-like formulae for values of the
Riemann zeta function
Authors: Jonathan M. Borwein, David M. Bradley
Comments: 6 pages, AMSTeX
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 11M06
Journal-ref: SIGSAM Bulletin of Symbolic and Algebraic Manipulation,
Association of Computing Machinery, Vol. 30, No. 2, Issue 116, June
1996, pp. 2--7
http://arxiv.org/abs/math.CA/0505124
Title: Empirically determined Apery-like formulae for zeta(4n+3)
Authors: Jonathan M. Borwein, David M. Bradley
Comments: AMSTeX; Math Reviews MR #93m:11142; see also
http://arxiv.org/abs/math.CA/0505093
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 11M06
Journal-ref: Experimental Mathematics, Vol. 6, Issue 3, October 1997,
pp. 181--194
http://arxiv.org/abs/math.CA/0505125
Title: Ramanujan's formula for the logarithmic derivative of the gamma
function
Authors: David M. Bradley
Comments: AMSTeX; Math Reviews MR #97a:11132
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 33B15 (Primary), 11Y60 (Secondary)
Journal-ref: Mathematical Proceedings of the Cambridge Philosophical
Society, Vol. 120 (1996), no. 3, 391--401
http://arxiv.org/abs/math.CV/0505174
Title: Multiple positivity and the Riemann zeta-function
Authors: Olga M. Katkova
Comments: 22 pages
Subj-class: Complex Variables; Number Theory
MSC-class: 30D15, 30D10
http://arxiv.org/abs/math.CA/0505188
Title: Perturbations of Jacobi polynomials and piece-wise hypergeometric
orthogonal systems
Authors: Yurii A. Neretin
Comments: 22 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45,34B10,34B05
http://arxiv.org/abs/math.CA/0505202
Title: On Powers of a Hypergeometric Function
Authors: Michael Milgram
Comments: 4 pages
Subj-class: Classical Analysis and ODEs; Complex Variables; Mathematical
Physics
MSC-class: 26A09, 33B20, 33C05, 33C20
http://arxiv.org/abs/math.CA/0505213
Title: Elliptic determinant evaluations and the Macdonald identities for
affine root systems
Authors: Hjalmar Rosengren, Michael Schlosser
Comments: 32 pages
Subj-class: Classical Analysis and ODEs; Combinatorics
MSC-class: 15A15; 17B67; 33E05
http://arxiv.org/abs/math.CA/050521
Title: Summation, transformation, and expansion formulas for multibasic
theta hypergeometric series
Authors: George Gasper, Michael Schlosser
Comments: 18 pages; for the proceedings of the workshop "Elliptic
Integrable Systems" (RIMS, Kyoto, November 8-11, 2004), special
volume of the Rokko Lectures in Mathematics
Subj-class: Classical Analysis and ODEs
MSC-class: 33D65, 33E20
http://arxiv.org/abs/math.CO/0505217
Title: The Generating Function of Ternary Trees and Continued Fractions
Authors: Ira Gessel, Guoce Xin
Comments: 44 pages, 12 figures
Subj-class: Combinatorics
MSC-class: 05A15; 05A10, 05A17, 30B70, 33C05
http://arxiv.org/abs/math.CA/0505248
Title: An elliptic determinant transformation
Authors: Hjalmar Rosengren
Comments: 6 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 15A15; 33D67; 33E05
http://arxiv.org/abs/math.NT/0505270
Title: Experimental determination of Apery-like identities for
zeta(2n+2)
Authors: David H. Bailey, Jonathan M. Borwein, David M. Bradley
Comments: 15 pages, AMSLaTeX, submitted to Experimental Mathematics
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11M06 (Primary), 33C20 (Secondary)
http://arxiv.org/abs/math.PR/0505274
Title: A Capture Problem in Brownian Motion and Eigenvalues of Spherical
Domains
Authors: Jesse Ratzkin, Andrejs Treibergs
Comments: 11 pages, 3 figures
Subj-class: Probability; Analysis of PDEs
http://arxiv.org/abs/math.PR/0505344
Title: The Efficient Evaluation of the Hypergeometric Function of a
Matrix Argument
Authors: Plamen Koev, Alan Edelman
Comments: 14 pages, 3 figures
Subj-class: Probability; Numerical Analysis
MSC-class: 33C20; 65B10; 05A99
http://arxiv.org/abs/math.CA/0505378
Title: Lowering and raising operators for some special orthogonal
polynomials
Authors: Tom H. Koornwinder
Comments: 12 pages; to appear in proceedings of the Workshop on Jack,
Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003)
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45; 33D45; 33C52
http://arxiv.org/abs/math.CO/0505548
Title: On q-Euler numbers, q-Salie numbers and q-Carlitz numbers
Authors: Hao Pan, Zhi-Wei Sun
Comments: 18 pages; more results added
Subj-class: Combinatorics; Number Theory
MSC-class: 11B65; 05A30; 11A07; 11B68
http://arxiv.org/abs/hep-th/0505097
Title: Parafermionic derivation of Andrews-type multiple sums
Authors: P. Jacob, P. Mathieu
Comments: 16 pages
Subj-class: High Energy Physics - Theory; Combinatorics; Mathematical
Physics; Quantum Algebra
http://arxiv.org/abs/math-ph/0505020
Title: Exact Solution for the Hypergeometric Green's Function Describing
Spectral Formation in X-Ray Pulsars
Authors: Peter A. Becker
Comments: Accepted for publication in JMP
Subj-class: Mathematical Physics
http://arxiv.org/abs/math-ph/0505077
Title: Quasi-Periodic Solutions of Heun's Equation
Authors: Avinash Khare, Uday Sukhatme
Comments: 13 pages, 0 figures
Subj-class: Mathematical Physics
http://arxiv.org/abs/math.CO/0506128
Title: The Andrews-Stanley partition function and Al-Salam-Chihara
polynomials
Authors: Masao Ishikawa, Jiang Zeng
Comments: 24 pages
Subj-class: Combinatorics; Representation Theory
MSC-class: 05E05 (Primary) 05A17, 05A30, 05E35, 33D15, 33D45 (Secondary)
http://arxiv.org/abs/math.CA/0506213
Title: Evaluation of Sylvester type determinants using
block-triangularization
Authors: Olga Holtz
Comments: 9 pages; to appear in Proceedings of the 4th ISAAC Congress
Subj-class: Classical Analysis and ODEs; Rings and Algebras
MSC-class: 33C45, 33D45, 15A15, 15A23
http://arxiv.org/abs/math.NT/0506214
Title: Some identities for the Riemann zeta-function II
Authors: Aleksandar Ivi\'c
Comments: 7 pages
Subj-class: Number Theory
MSC-class: 11M06
http://arxiv.org/abs/math.RA/0506219
Title: Balanced Leonard Pairs
Authors: Kazumasa Nomura, Paul Terwilliger
Comments: 20 pages
Subj-class: Rings and Algebras; Quantum Algebra
MSC-class: 05E30,05E35;33C45;17B37
http://arxiv.org/abs/math.NT/0506278
Title: q-Euler and Genocchi numbers
Authors: Taekyun Kim
Comments: 7 pages
Subj-class: Number Theory
MSC-class: 11B68, 11S80
http://arxiv.org/abs/math.NT/0506319
Title: Double integrals and infinite products for some classical
constants via analytic continuations of Lerch's transcendent
Authors: Jesus Guillera (Zaragoza), Jonathan Sondow (New York)
Comments: 19 pages, submitted for publication
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: Primary 11M06, 11M35, 11Y60; Secondary 33B15, 33B30
http://arxiv.org/abs/math.CA/0506345
Title: Elementary proofs of Paley-Wiener theorems for the Dunkl
transform on the real line
Authors: Nils Byrial Andersen, Marcel de Jeu
Comments: 9 pp., LaTeX, no figures; final version, to appear in Int.
Math. Res. Not
Subj-class: Classical Analysis and ODEs; Representation Theory
MSC-class: Primary 44A15; Secondary 42A38, 33C52
http://arxiv.org/abs/math.CA/0506384
Title: Ramanujan's Perimeter of an Ellipse
Authors: Mark B. Villarino
Comments: 12 pages
Subj-class: Classical Analysis and ODEs; General Mathematics
MSC-class: 26D15; 41A25;41A44
http://arxiv.org/abs/math.CA/0506385
Title: Ramanujan's Inverse Elliptic Arc Approximation
Authors: Mark B. Villarino
Comments: Four pages
Subj-class: Classical Analysis and ODEs
MSC-class: 41A25, 41A60
http://arxiv.org/abs/math.PR/0506458
Title: Linearization coefficients of Bessel polynomials
Authors: Christian Berg, Christophe Vignat
Comments: 16 pages
Subj-class: Probability
MSC-class: 33C10;60E05
http://arxiv.org/abs/nlin.SI/0505004
Title: Symbolic Software for the Painleve Test of Nonlinear Ordinary and
Partial Differential Equations
Authors: Douglas Baldwin, Willy Hereman
Comments: Submitted to the Journal of Nonlinear Mathematical Physics.
Software available at
http://www.mines.edu/fs_home/whereman/software/painleve/mathematica/
Subj-class: Exactly Solvable and Integrable Systems
http://arxiv.org/abs/nlin.SI/0505025
Title: B\"acklund transformations for fourth Painlev\'e hierarchies
Authors: Pilar R. Gordoa, Nalini Joshi, Andrew Pickering
Comments: 23 pages, 2 figures, to appear Journal of Differential
Equations
Subj-class: Exactly Solvable and Integrable Systems
Topic #6 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
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 #7 ---------- OP-SF NET 12.4 ------------ July 15, 2005
~~~~~~~~~~~~~~
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 12.5 should be sent by September 1, 2005.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
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Send submissions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
Back issues can be obtained at the WWW addresses:
http://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
WWW home page of this Activity Group:
http://math.nist.gov/opsf/
Information on joining SIAM
and this activity group: service@siam.org
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The elected Officers of the Activity Group (2005-2007) are:
Peter A. Clarkson, Chair
Daniel W. Lozier, Vice Chair
Javier Segura, Secretary
Peter A. McCoy, Program Director
The appointed officers are:
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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