July 15, 2002
O P - S F N E T Volume 9, 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
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
Today's Topics:
1. Message from the Editor
2. Message from the Chair
3. Madison Session on Special functions and Combinatorics
4. Seville Special Session on Constructive Approximation Theory
5. Fourth ISAAC Congress 2003
6. OPSFA 2003 - Copenhagen
7. Vanderbilt Special Year in Approximation Theory
8. Special Functions in the Digital Age
9. Minneapolis Workshop on Special Functions
10. Obituary: Wolfgang Thron
11. Book on Generalized Associated Legendre Functions
12. Book on Series Associated with the Zeta and Related Functions
13. Nominations: The Jurgen Moser Lecture
14. Nominations: J.D. Crawford Prize
15. Preprints in xxx Archive
16. About the Activity Group
17. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2002
July 22 - August 2: IMA Summer Program "Special Functions in the
Digital Age" Minneapolis, Minnesota 8.2 #7 8.6 #9 9.4 #8
August 5-7: Workshop on Special Functions at FoCM'02, "Foundations of
Computational Mathematics" Minneapolis,
Minnesota, USA 8.1 #1 8.6 #10 9.4 #9
August 12-17: Summer school in Orthogonal Polynomials and
Special Functions, Leuven, Belgium 8.4 #4 9.2 #5
September 2-6: Summer School on Approximation Methods in Systems
Theory, Laredo, Spain. 9.1 #6
September 23-27: International Conference on Special Functions
and their Applications, Chennai, India 9.2 #4
October 12-13: Special Session on Special functions and Combinatorics
during the AMS meeting, Madison, Wisconsin, USA 9.4 #3
2003
January 15-18: Annual Meeting of American Mathematical Society
including special session on "Special Functions and q-Series"
Baltimore, Maryland, USA 9.3 #1
May 14-17: Advances in Constructive Approximation, Nashville,
Tennessee, USA 9.4 #7
June 18-21: Special session on "Constructive Approximation Theory"
during the AMS-RSME Joint Meeting, Seville, Spain 9.4 #4
July 7-11: 5th International Congress on Industrial and Applied
Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6
August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6 9.4 #5
August 18-22: Seventh International Symposium on Orthogonal
Polynomials, Special Functions and Applications,
Copenhagen, Denmark 8.6 #7 9.4 #6
Future plans:
There are plans to organize a summer school on Orthogonal Polynomials and
Special Functions in Portugal in July 2003. (Contact person: Amilcar
Branquinho). This is in the series Laredo (2000), Inzell (2001) and Leuven
(2002; see Topic #5). The coordinator of the three summer schools is Erik
Koelink (koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of
our Activity Group's scientific program. The scientific committee consists
of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and
Walter Van Assche.
Dan Lozier (Topic #2 below) suggests a SIAM-sponsored meeting in Orthogonal
Polynomials and Special Functions to be held in Washington, DC in June
2004.
Topic #1 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Message from the Editor
In this issue we give new or revised information on several conferences. By the
time you read this the major event "Special Functions and the Digital age" will
be underway in Minneapolis. See Topic #8 for more information. In Topic #2, Dan
Lozier brings news of some major initiatives to be undertaken by the Activity
Group.
Sadly, the past few months have brought news of the deaths of two people in the
OPSF community.
Dr. William R. ("Bill") Allaway died in Thunder Bay, Ontario on February 14,
2002. Bill was born in 1940 and got his PhD under the supervision of Waleed
Al-Salam at he University of Alberta in 1972. His thesis work formed the basis
for what came to be called sieved orthogonal polynomials. Bill spent most of his
academic career at Lakehead University.
Dr Harold Exton died in August 2001, aged 73. Exton was a prolific
contributor to our subject with several books and 146 papers mentioned
in MathSciNet. Of these 127 papers have primary or secondary MSC
classification 33. I am indebted to Tom Koornwinder for this
information.
Topic #2 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Daniel Lozier
Subject: Message from the Chair
Message from the Chair
In this message I will report on two recent developments that should be
of interest to all members of our activity group.
Possible Establishment of Szego Prize
In a previous message from the chair, I mentioned the idea of
establishing a SIAM OPSF Prize. This idea was discussed last year at
the activity group membership meeting during the OPSFA conference in Rome,
and the name Szego Prize was suggested. The discussion centered around
the idea of a cash prize to be awarded to a young researcher every third
year. The feeling I got at the time was that the members in attendance
were enthusiastically in favor of trying to establish such a prize and to
name it for Gabor Szego.
I brought the subject up with Jim Crowley, Executive Director of SIAM,
at the SIAM Annual Meeting. I had discussed it with him previously but
this was a more in-depth consideration of how it could be established.
It turns out that SIAM's support for prizes is generous. But the
activity group membership also has a financial role to play, if we want
to have a cash award. Specifically, it is our responsibility to raise a
sufficient amount of money, call it an endowment, such that the earnings
from the endowment would cover any cash award for the prize recipient.
The administration of the endowment would be done at SIAM, which relieves
us of any necessity to handle money. As for earnings, SIAM imputes an
investment return from its own investment program that is added into
the endowment. In addition, SIAM will cover the full cost of travel,
lodging, registration and incidental expenses for the recipient to attend
the SIAM Annual Meeting and receive the award.
Prizes, some with and some without cash awards, are presented by
several other SIAM activity groups. The criteria for these prizes can
be seen at http://www.siam.org/prizes/. Our next step, if the membership
wishes to proceed, will be to develop similar criteria for consideration
by the appropriate SIAM governing bodies.
I am assuming the activity group membership wishes its leadership to go
ahead with this plan. If there are dissenting opinions, please let me
know by October 1.
Finally, I expect to form a committee to develop a proposal and
fund-raising strategy. The activity group officers will take the lead
in this work. Voluteers to assist the committee will be very welcome. If
you are interested, please contact me.
Possible SIAM OPSFA Meeting in Washington in 2004
Personally, I would very much like to have a SIAM-sponsored
international conference on OP and SF during my remaining time as Chair
of the activity group. This has never been done in our activity group,
and in fact ours is the only activity group in SIAM that has never had its
own conference. Here again there are real advantages to working with
SIAM. The conference staff at SIAM will handle almost all necessities
such as negotiating with a hotel, advertising and mailing, and
collecting and expending money. Our responsibility is limited, chiefly, to
putting together the scientific program.
Rather than compete with the already existing and very successful OPSFA
series, I would offer to hold a SIAM-sponsored OPSFA conference in 2004
(I am unaware if another institution has already offer to sponsor OPSFA in
2004). This would be in Washington, DC, in June 2004.
There is another interesting opportunity with regard to the proposed
conference. A colleague of mine at NIST, Ron Boisvert, is chair of a
mathematical software working group (WG2.5) that is part of IFIP
(International Federation of Information Processing Societies). His
group holds an annual business meeting which is usually accompanied by an
informal open workshop with 35-50 attendees. WG2.5 has expressed
interest in holding its meeting in Washington in conjunction with the OPSFA
conference, with the theme for its technical program centered on software
for special functions and applications. The mutual interaction might
well be beneficial to both groups.
Ron and I discussed these possible plans with Jim Crowley at the SIAM
meeting. Jim was very supportive. He encouraged us to go ahead and
take the issue to our respective memberships. I hope you will send me
your thoughts, whether for or against or somewhere in between.
Dan Lozier
lozier@nist.gov
Chair, SIAM OPSF Activity Group
Topic #3 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Paul Terwilliger
Subject: Madison Session on Special functions and Combinatorics
There will be a special session on Special functions and Combinatorics
during the meeting of the American Mathematical Society in Madison
Wisconsin, October 12-13, 2002.
Organizers: Richard Askey and Paul Terwilliger
Topics: The orthogonal polynomials of the Askey scheme and related topics in
combinatorics, representation theory and integrable systems.
If you are interested in participating please contact one of the organizers.
General information about the conference can be found at the AMS website
http://www.ams.org/meetings/
Topic #4 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Renato Alvarez-Nodarse
Subject: Seville Special Session on Constructive Approximation Theory
The American Mathematical Society has approved a special session on
"Constructive Approximation Theory" for the First Joint International
Meeting of the American Mathematical Society (AMS) and the Real Sociedad
Matematica Espanola (RSME) to be held in Seville (Spain), June 18-21, 2003.
This session is organized by Antonio Duran, University of Sevilla
and Edward B. Saff, Vanderbilt University
.
The topics to be considered are Aproximation Theory, Orthogonal Polynomials
and related topics.
Further information will appear on the web site:
http://www.us.es/rsme-ams/
and also in the AMS WWW page
http://www.ams.org/amsmtgs/2083_program.html
Topic #5 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Martin Muldoon
Subject: Fourth ISAAC Congress 2003
[This information is from the Congress web page:
http://www.math.yorku.ca/isaac03/]
The ISAAC (International Society for Analysis, its Applications and
Computation) board, the local organizing committee and the Department of
Mathematics and Statistics at York University, are pleased to announce that
the fourth ISAAC Congress will be held at York University in Toronto,
Canada, from August 11, 2003 to August 16, 2003.
Plenary Speakers (Some of them have to be confirmed.)
Richard A. Askey (University of Wisconsin-Madison) (Special Functions and
Orthogonal Polynomials)
Vladimir Georgiev (University of Pisa, Italy) (Hyperbolic PDE)
Peter C. Greiner (University of Toronto) (PDE, Geometric Analysis)
Peter D. Lax (Courant Institute of Mathematical Sciences) (Functional
Analysis, PDE, Computing)
M. Zuhair Nashed (University of Delaware) (Wavelets, Inverse Problems,
Numerical Functional Analysis)
Louis Nirenberg (Courant Institute of Mathematical Sciences) (PDE,
Differential Geometry, Complex Analysis)
Luigi Rodino (University of Torino, Italy) (PDE, Microlocal Analysis)
Elias M. Stein (Princeton University) (Harmonic Analysis, PDE)
Gilbert Strang (MIT) (Wavelets, Applied Mathematics, Numerical Analysis)
James S. Walker (University of Wisconsin-Eau Claire) (Time-Frequency
Analysis, Wavelets, Fourier Analysis)
Special Sessions and Organizers
1.D. Alpay (Ben-Gurion University, Israel)
J. A. Ball (Virginia Polytechnic Institute and State University, U.S.A.)
T. Ohsawa (Nagoya University, Japan)
S. Saitoh (Gunma University, Japan)
Reproducing Kernels and Related Topics
2.Ryuichi Ashino (Osaka Kyoiku University, Japan)
Paolo Boggiatto (University of Torino, Italy)
M. W. Wong (York University, Canada)
Pseudo-Differential Operators
3.Rauno Aulaskari (University of Joensuu, Finland)
Jari Taskinen (University of Joensuu, Finland)
Banach Spaces of Analytic Functions
4.Greigor Barsegian (Armenian Academy of Sciences, Armenia)
Alain Escassut (Université Blaise Pascal, Clermont-Ferrand, France)
Value Distributions of Complex Functions, Generalizations and Related Topics
5.Heinrich Begehr (Freie Universität Berlin, Germany)
Alberto Cialdea (Università della Basilicata, Italy)
Complex and Functional Analytic Methods in Partial Differential Equations
6.Alain Bourgeat (Centre National de la Recherche Scientifique, France)
Robert P. Gilbert (University of Delaware, U.S.A.)
Alex Panchenko (Pennsylvania State University, U.S.A.)
Homogenization
7.Victor Burenkov (Cardiff University, U.K.)
Function Spaces and Applications
8.Galia Dafni (Concordia University, Canada)
Andrea Fraser (Dalhousie University, Canada)
Harmonic Analysis and Its Applications to Partial Differential Equations
9.Dao-Qing Dai (Zhongshan University, P. R. China)
Wei Lin (Zhongshan University, P. R. China)
Applied Complex Analysis
10.Robert P. Gilbert (University of Delaware, U.S.A.)
Armand Wirgin (LMA/CNRS, Marseille, France)
Yongzhi Xu (University of Tennessee-Chattanooga, U.S.A.)
Inverse Problems
11.Steve Hou (Iowa State University, U.S.A.)
Numerical Partial Differential Equations
12.Huaxiong Huang (York University, Canada)
Applied/Computational Analysis
13.Nils Jacob (University of Wales at Swansea, U.K.)
Stochastic Analysis and Applications
14.Anatoly Kilbas (Belarusian State University, Belarus)
Stefan Samko (Universidade do Algarve, Portugal)
Fractional Calculus and Applications
15.P. A. Krutitskii (Moscow State University, Russia)
Boundary Value Problems and Integral Equations
16.Irena Lasiecka (University of Virginia, U.S.A.)
Walter Littman (University of Minnesota, U.S.A.)
Roberto Triggiani (University of Virginia, U.S.A.)
Control Theory of Partial Differential Equations
17.Martin Muldoon (York University, Canada)
Orthogonal Polynomials and Special Functions
18.M. Zuhair Nashed (University of Delaware, U.S.A.)
Interaction of Inverse Problems and Image Analysis
19.M. Zuhair Nashed (University of Delaware, U.S.A.)
Sampling Theory in Signal Processing
20.Michael Reissig (Technische Universität Bergakademie Freiberg, Germany)
D. Del Santo (Università di Trieste, Italy)
Hyperbolic Problems: Degeneracies, Nonlinearities and Global Existence
21.John Ryan (University of Arkansas, U.S.A.)
Wolfgang Sprössig (Freiberg University for Mining and Technology, Germany)
Clifford Analysis, Applications and Related Topics
22.Bernd Silbermann (Technical University of Chemnitz-Zwickau, Germany)
Nikolai Vasilevski (Cinvestav del I.P.N., Mexico)
Toeplitz-Like Structures in Analysis and Applied Sciences
23.S. P. Singh (Memorial University of Newfoundland, Canada)
Nonlinear Analysis and Applications
24.Promarz M. Tamrazoo (Academy of Sciences, Ukraine)
Complex Analysis and Potential Theory
25.Keith Taylor (University of Saskatchewan, Canada)
Operator Algebras
26.Jingzhi Tie (University of Georgia, U.S.A.)
M. W. Wong (York University, Canada)
Analysis on the Heisenberg Group
27.James S. Walker (University of Wisconsin-Eau Claire, U.S.A.)
Time-Frequency Analysis, Wavelets and Applications
Local Information
York University is located in the Northwest part of the city of Toronto,
about a 20-minute drive from Pearson International Airport. It is about 1.5
km S of highway 407/ETR ("Express Toll Route") and about one hour from
downtown Toronto by public transportation. Accommodation will be available
on campus (details to be announced) as well as in neighbouring hotels.
Local Organizing Committee
Qiuming Cheng
Huaxiong Huang
Martin Muldoon (Chair)
Sid Scull
Marshall Walker
Man Wah Wong
Correspondence on the scientific program should be directed to Man Wah
Wong: mwwong@mathstat.yorku.ca
The 3rd ISAAC Congress was held in Berlin in 2001. See
http://www.math.fu-berlin.de/~isaac/
This series should not be confused with the meetings sponsored by ISSAC
(International Symposium on Symbolic and Algebraic Computation). Nor should
we confuse this ISAAC with another one: International Society for
Augmentative and Alternative Communication.
Topic #6 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Henrik Laurberg Pedersen
Subject: OPSFA 2003 - Copenhagen
The seventh International Symposium on Orthogonal Polynomials, Special
Functions and applications, Copenhagen, August 18-22, 2003.
First circular.
The purpose of this email is to inform you about the status of the
preparations for the meeting including information on financial support
for young participants.
The following have accepted our invitation as plenary speakers:
* Professor Richard Askey, University of Wisconsin, Madison, USA
* Professor Percy Deift, New York University, USA
* Professor Antonio J. Duran, University of Sevilla, Spain
* Professor Uffe Haagerup, University of Southern Denmark, Denmark
* Professor Mourad Ismail, University of South Florida, USA
* Professor Erik Koelink, Technical University Delft, the Netherlands
* Professor Masatoshi Noumi, Kobe University, Japan
* Professor Franz Peherstorfer, University of Linz, Austria
* Professor Simon Ruijsenaars, Center for Mathematics and Computer
Science, the Netherlands
* Professor Jan Felipe van Diejen, University of Talca, Chile
* Professor Yuan Xu, University of Oregon, USA
Professor Paolo Emilio Ricci has accepted to chair a Problem Session.
The invitations have been decided in consultations with the Scientific
Committee:
Professor Antonio J. Duran, University of Sevilla, Spain
Professor Mourad E. H. Ismail, University of South Florida, USA
Professor Erik Koelink, Technical University Delft, the Netherlands
Professor Paolo Emilio Ricci, University of Rome "La Sapienza", Italy
Professor Vilmos Totik, Bolyai Institute, Hungary and University of South
Florida, USA
Professor Christian Berg, University of Copenhagen
Associate Professor Henrik L. Pedersen, University of Copenhagen
This information is available from the conference home page
http://www.math.ku.dk/conf/opsfa2003/
You are welcome to spread the information about the conference to
potentially interested colleagues. (Those who have participated in
the meetings in Rome and/or Patras should be on our email list.)
There will be opportunities to present shorter talks in parallel sessions.
We are also pleased to inform you about a special grant from the Danish
Ministry of Science, Technology and Development with the purpose of
supporting the participation of young scientists. We shall soon announce
this possibility on the conference home page, with precise conditions for
application. Deadline for application: February 1st 2003.
Information about registration, accommodation and abstracts of submitted
talks will be given in a second circular in the beginning of 2003.
We hope to see you in Copenhagen.
The local organizing committee:
Christian Berg, Jacob S. Christiansen, Henrik L. Pedersen
Topic #7 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Center for Constructive Approximation
Subject: Vanderbilt Special Year in Approximation Theory
*****************************************************
**** SPECIAL YEAR IN APPROXIMATION THEORY ******
**** May 2003 - May 2004 ******
**** Center for Constructive Approximation ******
**** Vanderbilt University, Nashville, TN ******
**** http://www.math.vanderbilt.edu/~cca ******
**** cca@math.vanderbilt.edu ******
*****************************************************
To celebrate the recent founding of the Center for Constructive
Approximation at Vanderbilt University, we are organizing a Special Year in
Approximation Theory. The year will begin with a conference in May, 2003,
and will end with second conference in May, 2004. For more on the
conferences, see below.
In addition to the conferences, we plan to organize workshops in several
areas of Approximation Theory. Details will be forthcoming. Moreover, we
hope to have as many short-term and long-term visitors as possible during
the special year. Please let us know if you are interested in such a
visit. The program for the Special Year is now in the planning stage and
will be posted on the Center website in the near future.
*****************************************************
**** International Conference on ******
**** ADVANCES IN CONSTRUCTIVE APPROXIMATION ******
**** May 14-17, 2003 ******
**** http://www.math.vanderbilt.edu/~advances ******
**** advances@math.vanderbilt.edu ******
*****************************************************
This conference will mark the official opening of the Special Year in
Approximation Theory.
INVITED SPEAKERS
J. Benedetto (Univ. of Maryland)
L. Bos (Univ. of Calgary)
K. Kopotun (Univ. of Manitoba, Winnipeg)
K. McLaughlin (Univ. N. Carolina, Chapel Hill)
G. Plonka (Gerhart-Mercator Univ., Germany)
M. Putinar (Univ. of California, Santa Barbara)
V. Totik (Univ. South Florida and Univ. of Szeged)
J. Ward (Texas A \& M Univ., College Station)
ORGANIZING COMMITTEE
Mike Neamtu, Edward Saff, Larry Schumaker (Vanderbilt Univ.)
SCOPE OF THE SYMPOSIUM
Our aim is to bring together researchers from diverse areas of
approximation theory, to stimulate international collaboration, and to
promote interaction and the exchange of ideas. We welcome the participation
of both pure and applied mathematicians working in approximation theory
from all around the world. We especially encourage young mathematicians and
graduate students to attend.
CONFERENCE TOPICS
The topics of interest include, but are not limited to:
Abstract approximation
Approximation with constraints
Classical approximation
Complex approximation
Extremal problems
Interpolation and smoothing
Curves and surfaces
Multiresolution analysis
Nonlinear approximation
Orthogonal polynomials
Radial basis functions
Shift-invariant spaces
Splines
Subdivision and refinable functions
Image and signal processing
Wavelets
CONTRIBUTED TALKS ETC.
We invite you to contribute a talk in any area of approximation theory and
its applications. The duration of contributed talks will depend on the
number of participants and will be announced later. We expect to publish a
proceedings containing survey papers by the invited speakers and refereed
contributed papers. We are currently applying for funding to be able to
partially support the expenses of graduate students and other
mathematicians without support.
*****************************************************
**** ELEVENTH INTERNATIONAL CONFERENCE ******
**** ON APPROXIMATION THEORY ******
**** May 19-22, 2004 ******
**** http://www.math.vanderbilt.edu/~at04 ******
**** at04@math.vanderbilt.edu ******
*****************************************************
This conference is the eleventh in the well-established series of "Texas
meetings in Approximation Theory" (the previous two meetings were in St.
Louis, 2001, and Nashville, 1998). We will provide more information about
this event at a later date.
Topic #8 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Special Functions in the Digital Age
IMA 2002 Summer Program:
Special Functions in the Digital Age
July 22 - August 2, 2002
Minneapolis, MN, USA
Here is some of the latest information from the web site
http://www.ima.umn.edu/digital-age/
Description:
The IMA workshop will use the DLMF project as a foundation and discuss what
more should be done, what areas are incomplete or unrepresented, what are
the resulting mathematical, symbolic, numerical and web issues,
applications in physics, chemistry, etc., relationships with the Bateman
project, and potential for other digital libraries in other mathematical
areas. The workshop is to have a very broad outlook, encompassing a wide
range of subjects connected with special functions, as well as issues
concerning digital libraries and the delivery of mathematics over the
internet.
A major portion of this program (7 days) will be assessments of research
progress and promising vistas for future research by distinguished experts
in the areas of asymptotics, combinatorial functions, statistics, computer
algebra, algebraic and group theoretic methods, applications to the
physical sciences, orthogonal polynomials, numerical methods, zeta
functions & random matrices, Painlevé functions, elliptic functions,
elliptic hypergeometric functions and the Heun function group, with the aim
of pointing out what is of greatest importance in the theory and
applications, and what should be included in digital library projects.
The remainder of the program (3 days) will be devoted to Digital Libraries
generally and, specifically, Digital Libraries and the Mathematical
Sciences, including the delivery of mathematics over the Internet. It will
conclude with a panel on the "Future of Mathematical Digital Libraries,"
with panelists from the special functions research and users communities,
as well as representatives from mathematics societies and government
funding agencies.
There will be several discussion sessions to develop specific
recommendations for special function topics to be included in future
Digital Libraries in Mathematics. Also there will be poster sessions, and
several software demonstrations (particularly of computer algebra and
numerical packages for special functions), and much of the software will be
available during the program for informal use by participants. This program
will link with special function related sessions at the Foundations of
Computational Mathematics (FoCM'02) meeting that will be hosted by the IMA,
August 5-15, 2002.
The program is meant for researchers in the theory and computation of
special functions (definitely including people new to the field who are
looking for the most promising areas for future research), for users of
special functions, and for persons interested in the delivery of
mathematics over the Internet.
Speakers:
George E. Andrews (Department of Mathematics, Pennsylvania
State University)
What is needed in Computer Algebra Packages for Mathematical
Research!
Richard Askey (Department of Mathematics, University of
Wisconsin-Madison)
Introduction: The Role of Handbooks of Special Functions
Richard Askey (Department of Mathematics, University of
Wisconsin-Madison)
Orthogonal Polynomials in One Variable
Richard Askey (Department of Mathematics, University of
Wisconsin-Madison) askey@math.wisc.edu
Assessment of DLMF (Digital Library of Mathematical
Functions)
Alexander Berkovich (Department of Mathematics, University
of Florida)
Partitions with gap conditions: some old and new results
Michael Berry (Department of Physics, Bristol University)
Architecture of diffraction catastrophes
Ronald F. Boisvert (Mathematical and Computational Sciences
Division, National Institute of Standards and Technology,
Gaithersburg, MD, USA)
Building the DLMF: Information Technology Issues
David M. Bressoud (Mathematics and Computer Science
Department, Macalester College)
Where does Combinatorial Analysis fit in?
Peter A. Clarkson (Institute of Mathematics & Statistics,
University of Kent, Canterbury, CT2 7NF, UK)
The Painleve equations - nonlinear special functions
Edgardo S. Cheb-Terrab (MITACS - CECM - Simon Fraser
University, Canada Symbolic Computation Group, UW, Canada,
Theoretical Physics Department, UERJ, Brazil)
Special functions & Maple
Frédéric Chyzak (Algorithms Project, INRIA)
Mgfun, a Maple Package for Symbolic Summation and
Integration of Special Functions and Combinatorial Sequences
Charles F. Dunkl (Department of Mathematics, University of
Virginia)
Orthogonal Polynomials on the Sphere
Walter Gautschi (Department of Computer Sciences, Purdue
University)
Orthogonal Polynomials (in Matlab)
Mourad Ismail (Department of Mathematics, University of
South Florida)
Continued Fractions and Biorthogonal Functions
Alexander R. Its (Indiana University-Purdue University
Indianapolis)
Integrable Systems and Integrability
Tom H. Koornwinder (KdV Institute for Mathematics,
Universiteit van Amsterdam)
Algebraic methods: Lie groups, quantum groups
Christian Krattenthaler (Institut fur Mathematik,
Universitat Wien)
HYP and HYPQ
Daniel Lozier (National Institute of Standards and
Technology (NIST))
Development of a New Handbook and Web Site of Properties of
Special Functions
Bruce R. Miller (National Institute of Standards and
Technology (NIST))
Representation, display and manipulation of mathematics on
the Web
Willard Miller (School of Mathematics, University of
Minnesota)
The Lie Theory approach to special functions
Cleve Moler (Chairman and Chief Scientist The MathWorks,
Inc.)
Special Functions in MATLAB: What do we have and what are we
missing?
Ingram Olkin (Stanford University)
Interface Between Statistics and Special Functions
Frank W.J. Olver (Institute for Physical Science and
Technology, University of Maryland and Mathematics &
Computational Sciences, National Institute of Standards and
Technology (NIST))
Error Bounds; Hyperasymptotics; Uniform Asymptotics
Peter Paule (RISC, J. Kepler University Linz, Austria)
Symbolic Summation: Algorithms and Missed Opportunities
William P. Reinhardt (Department of Chemistry, University of
Washington, Seattle)
New and old addition theorems and Landen identities for
Jacobian elliptic functions: do these indeed give rise to
"novel" solutions for non-linear PDEs?
Donald Richards (Department of Statistics, University of
Virginia)
Computers and special functions in multivariate statistical
analysis
Axel Riese (Research Institute for Symbolic Computation, J.
Kepler University Linz)
Computer Proofs of Hypergeometric Summation Identities and
Partition Analysis
Otmar Scherzer (Department of Computer Science, University
Innsbruck, Techniker Str. 25, A-6020 Innsbruck, Austria)
Case examples of Special Functions in Analysis and Numerics
Carsten Schneider (Research Institute for Symbolic
Computation, J. Kepler University Linz )
Sigma: A Summation Package for Discovering and Proving
V.P. Spiridonov (JINR, Dubna and MPIM, Bonn)
Elliptic Hypergeometric Functions
Dennis Stanton (School of Mathematics, University of
Minnesota)
Exponential formulas
Nico M. Temme (CWI)
Numerics of Special Functions
Alexander Turbiner (Instituto de Ciencias Nucleares,
National University of Mexico)
Algebraic Approaches: Quasi-Exactly-Solvable Problems
(Lie-algebraic theory of polynomial solutions of
differential and finite-difference linear equations)
Hans W. Volkmer (Department of Mathematical Sciences,
University of Wisconsin)
Mathieu, Lamé and Spheroidal Wave Functions
Peter L. Walker (College of Arts & Science, American
University of Sharjah)
The elliptic functions of Jacobi and Weierstrass
Abdou Youssef (Department of Computer Science, The George
Washington University, Washington, DC 20052)
Search Systems for Mathematical Equations
Doron Zeilberger (Department of Mathematics, Rutgers
University)
The General Future of Special Functions
Topic #9 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Minneapolis Workshop on Special Functions
Workshop on Special Functions, FoCM'02, IMA,
Minneapolis, 5-7 August 2002
This is part of the information from the web page:
http://staff.science.uva.nl/~thk/FoCM02/
This is one of the 19 workshops during the conference FoCM'02 at the IMA,
University of Minnesota, Minneapolis, MN, USA, 5-14 August 2002. The
workshop will run for 3 successive afternoons during 5-7 August (Monday -
Wednesday).
FoCM'02 demotes the conference on
"Foundations of Computational Mathematics" to be held in
Minneapolis, 5-14 August 2002. See the web page
http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM02/
The Workshop on Special Functions will be held immediately after the IMA
2002 Summer Program Special Functions in the Digital Age at the IMA in
Minneapolis, 22 July - 2 August 2002. (see Topic #8 above)
Workshop organizers
Tom H. Koornwinder (University of Amsterdam; email thk@science.uva.nl)
Adri B. Olde Daalhuis (University of Edinburgh; email adri@maths.ed.ac.uk).
Plenary speaker on workshop theme
Dan Lozier (NIST, Gaithersburg, Maryland, USA), Development of a new
handbook of properties of special functions.
Semiplenary speakers during the workshop
Peter A. Clarkson (University of Kent, Canterbury, UK),
Connection formulae for the Painlevé equations
Mourad E.H. Ismail (University of South Florida, Tampa, Florida, USA),
Solutions of Bethe Ansatz equations in some physics models
Nico M. Temme (CWI, Amsterdam, Netherlands),
Two-point Taylor expansions for convergent asymptotic expansions
Other workshop speakers
Alexander Berkovich (University of Florida, Gainesville, Florida, USA),
Some observations on the Dyson adjoint of a partition
(canceled) Andrei B. Bogatyrev (Institute for Numerical Mathematics, Russian
Academy of Sciences), Moscow, Russia,
Numerical analysis in Teichmüller spaces with application to extremal
polynomials
Chris Howls (University of Southampton, UK),
Calculation of integrals with coalescing saddlepoints
Tom H. Koornwinder (University of Amsterdam, Netherlands),
Twin Cities summer variations: Some easy pieces in special functions
Robert S. Maier (University of Arizona, Tucson, Arizona, USA; temporarily
TICAM (Texas Institute for Computational and Applied Mathematics),
University of Texas)
Heun-to-hypergeometric transformations
Willard Miller, Jr. (School of Mathematics, University of Minnesota,
Minneapolis, MN, USA),
Multiseparability, superintegrability and mixed basis expansions for the
special functions of mathematical physics
Adri B. Olde Daalhuis (University of Edinburgh),
Uniform asymptotic expansions for hypergeometric functions
Marko Petkovsek (University of Ljubljana, Slovenia),
The structure of multivariate hypergeometric terms
Michael J. Schlosser (Universität Wien, Vienna, Austria),
Inversion of bilateral basic hypergeometric series
Vyacheslav P. Spiridonov (Joint Institute for Nuclear Research, Dubna,
Russia and Max Planck Institute of Mathematics, Bonn, Germany),
The elliptic Bailey chain
Paul Terwilliger (University of Wisconsin-Madison, USA),
Leonard pairs and the q-Racah polynomials
Topic #10 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Walter Van Assche
Subject: Obituary: Wolfgang Thron
Wolfgang J. Thron, 1918--2001
Wolfgang Joseph Thron, professor emeritus of mathematics of the University
of Colorado in Boulder, Colorado, died at home of emphysema on August 21,
2001, a few days after his 83rd birthday. Thron was very well known for his
work on continued fractions and his book "Continued Fractions, Analytic
Theory and Applications" (with W. B. Jones), which appeared in 1980, is one
of the most valuable books on the subject. Wolf Thron was born on August
17, 1918 in Ribnitz (Germany). In 1936 Thron first was sent to the ETH in
Zurich (Switzerland) and then to Princeton University, where his aunt and
uncle (Herman Weyl) could keep an eye on him and lend him a helping hand if
necessary. After his B.A. degree from Princeton in 1939 he held a teaching
fellowship at Washington State University in Pullman, and a year later he
accepted a teaching fellowship for graduate study at the mathematics
department of Rice University, where he worked under the supervision of
Walter Leighton. Thron's thesis was on parabolic convergence regions for
continued fractions and his results (published in 1942 and 1943)
significantly improved the original parabola theorem of W. T. Scott and H.
S. Wall, which appeared in 1940. During the next six decades Wolfgang Thron
made several important contributions in the convergence theory for
continued fractions. Approximately one third of his publications have been
devoted to continued fractions. A recent look on MathSciNet revealed 142
publications by Wolfgang Thron, and Zentralblatt MATH even gives 153
publications. Thron has at least four publications with more than 50
citations: the paper "Accelerating convergence of limit periodic continued
fractions K(a_n/1)" (Numer. Math. 34 (1980), 155-170) with H. Waadeland,
the well-written survey "Moment theory, orthogonal polynomials, quadrature,
and continued fractions associated with the unit circle" (Bull. London
Math. Soc. 21 (1989), 113-152) with W. B. Jones and O. Njastad, the paper
"A strong Stieltjes moment problem" (Trans. Amer. Math. Soc. 261 (1980),
503--528) with W. B. Jones and H. Waadeland, and the related "Orthogonal
Laurent polynomials and the strong Hamburger moment problem" (J. Math.
Anal. Appl. 98 (1984), 528--554) with W. B. Jones and O. Njastad, clearly
have been very influential. Thron also has his own continued fraction: the
T-fraction, which is related to two point Pade approximation and Laurent
orthogonal polynomials.
Wolfgang Thron started his long career at the University of Colorado in
Boulder in 1954 filling the vacancy in mathematics when Albert Edrei moved
to Syracuse University. He had 21 Ph.D. students and wrote two books: in
1966 a book on "Topological Structures", and in 1980 the book with Bill
Jones on continued fractions, which was mentioned earlier. Thron spent a
lot of time at foreign universities: in 1957-58 he was at the University of
Munich, close to Oscar Perron, in 1962-63 and in 1974-75 he was at Panjab
University in Chandigarh, India, in 1966-67 he was at Mindanao State
University in the Phillipines, in 1970-71 he was at Erlangen University in
Germany, and in 1978-79, 1982-83 and 1987 he worked at the University of
Trondheim in Norway. There he continued a long and productive collaboration
with Lisa Jacobsen (now Lorentzen), Olav Njastad and Haakon Waadeland.
Thron became Professor Emeritus upon his retirement in 1985. In recognition
of his outstanding work in continued fractions and related topics, an
international conference was held at the University of Colorado in June,
1988 on the occasion of his 70th birthday. The proceedings were published
in the Rocky Mountain Journal of Mathematics, volume 21 (1991); included in
these proceedings was a description of Thron's life and work written by his
former student an long time collaborator W. B. Jones ("W. J. Thron on his
70th birthday", Rocky Mountain J. Math. 21 (1991), 7-23), which includes a
list of his Ph.D. students and 116 papers (up to 1990). Most of the
information in the present obituary is taken from this source and from
obituaries that were sent to me by Bill Jones.
Topic #11 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Book on Generalized Associated Legendre Functions
Generalized Associated Legendre Functions and Their Applications.
By N. Virchenko and I. Fedotova.
World Scientific, River Edge, NJ, 2000. $48.00.
xx+195 pp., hardcover. ISBN 981-02-4357-7.
A review by Mourad Ismail appears in SIAM Review, Vol 44, no 2, June 2002,
pp 288-291; see http://epubs.siam.org/sam-bin/dbq/article/97090
Ismail gives a succinct introduction to the functions of the title as
essentially special Jacobi functions and goes on to give a mainly
positive review of the book.
Extract from information from the publisher:
http://www.wspc.com/books/mathematics/4463.html
"The various types of special functions have become essential tools for
scientists and engineers. One of the important classes of special functions
is of the hypergeometric type. It includes all classical hypergeometric
functions such as the well-known Gaussian hypergeometric functions, the
Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright
functions, the generalized hypergeometric functions rFq, Meijer's
G-function, Fox's H-function, etc."
"Application of the new special functions allows one to increase
considerably the number of problems whose solutions are found in a closed
form, to examine these solutions, and to investigate the relationships
between different classes of the special functions."
"This book deals with the theory and applications of generalized associated
Legendre functions of the first and the second kind, P^{m,n}_k(z) and
Q^{m,n}_k(z), which are important representatives of the hypergeometric
functions. They occur as generalizations of classical Legendre functions of
the first and the second kind respectively. The authors use various methods
of contour integration to obtain important properties of the generalized
associated Legendre functions as their series representations, asymptotic
formulas in a neighborhood of singular points, zero properties, connection
with Jacobi functions, Bessel functions, elliptic integrals and incomplete
beta functions."
"The book also presents the theory of factorization and composition
structure of integral operators associated with the generalized associated
Legendre function, the fractional integro-differential properties of the
functions P^{m,n}_k(z) and Q^{m,n}_k(z), the classes of dual and triple
integral equations associated with the function P^{m,n}_{-1/2+it}(\cosh
\alpha) etc.
Contents:
A General Information on Legendre Functions
The Generalized Associated Legendre Functions
The Series Representations of the Generalized Associated Legendre
Functions
Relations Between Different Solutions of the Generalized Legendre Equation.
Wronskians of Linearly Independent Solutions
Relations Between Contiguous Generalized Associated Legendre Functions
Differential Operators Generated by the Generalized Associated
Legendre Equation
Asymptotic Formulas for the Generalized Associated Legendre
Functions in a Neighborhood of Singular Points
Asymptotic Representations of the Generalized Associated Legendre Functions
as the Functions of Parameters
Integral Representations of the Generalized Associated Legendre Functions
of the First Kind
Integral Representations of the Generalized Associated Legendre
Functions of the Second Kind
Zeros of the Generalized Associated Legendre Functions
Connection of the Generalized Associated Legendre Functions with the Jacobi
Functions and other topics
Topic #12 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Book on Series Associated with the Zeta and Related Functions
Series Associated with the Zeta and Related Functions.
By H. M. Srivastava and Junesang Choi.
Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001. $127.00.
ix+388 pp., hardcover. ISBN 0-7923-7054-6.
A review by Jet Wimp appears in SIAM Review, Vol 44, no 2, June 2002,
pp 305=308; see http://epubs.siam.org/sam-bin/dbq/article/97090
Wimp begins:
"The title of this book doesn't describe its contents. It is really a
meditation on the gamma function and some related functions. Readers
may have the feeling of being transported back in time to find
themselves negotiating a minor but scenic tributary of 19th century
mathematics. This is fine with me. ..."
He gives a favourable account of the first two Chapters but has
misgivings about the long third one "Series Involving Zeta
Functions". But the review has to be read completely to be savoured.
The following extracts are form the publishers wed site:
http://www.wkap.nl/prod/b/0-7923-7054-6
"Designed as a reference work and also as a graduate-level textbook, this
volume presents an up-to-date and comprehensive account of the theories and
applications of the various methods and techniques used in dealing with
problems involving closed-form evaluations of (and representations of the
Riemann Zeta function at positive integer arguments as) numerous families
of series associated with the Riemann Zeta function, the Hurwitz Zeta
function, and their extensions and generalizations such as Lerch's
transcendent (or the Hurwitz-Lerch Zeta function)."
"Audience: This book is intended for professional mathematicians and
graduate students in mathematical sciences (both pure and applied)."
Contents
Preface. Acknowledgements. 1. Introduction and Preliminaries. 2. The Zeta
and Related Functions. 3.Series Involving Zeta Functions. 4. Evaluations
and Series Representations. 5. Determinants of the Laplacians. 6.
Miscellaneous Results. Bibliography. Author Index. Subject Index.
Topic #13 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Allison Bogardo
Subject: Nominations: The Jurgen Moser Lecture
Call for Nominations
SIAM Activity Group on Dynamical Systems Jurgen Moser Lecture
The SIAG/DS Moser Lecture
-------------------------
The SIAM Activity Group on Dynamical Systems will present the award at
the SIAM Conference on Applications of Dynamical Systems at Snowbird,
May 27-31, 2003. The prize is awarded to a person who has made
distinguished contributions to nonlinear science. The term "nonlinear
science" includes dynamical systems theory and its applications, as
well as experiments and computations/simulations.
Description of the Award
------------------------
The award will consist of a plaque, a certificate containing the
citation, an invitation to give a plenary lecture at the conference,
and $1000 cash, plus reasonable travel expenses to attend the
conference.
Nominations
-----------
Nominations should be sent by SEPTEMBER 6 to:
SIAG/DS Jurgen Moser Lecture
c/o A. G. Bogardo
SIAM
3600 University City Science Center
Philadephia, PA 19104-2688
Telephone: 215-382-9800
Fax: 215-386-7999
E-mail: bogardo@siam.org
Selection Committee
-------------------
Members of the selection committee are: C. Eugene Wayne (Chair),
Boston University; Krystyna Kupersberg, Auburn University; Peter Lax,
Courant Institute of Mathematical Sciences, New York University; Yakov
Sinai, Princeton University; and James Yorke, University of Maryland,
College Park.
Topic #14 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: Allison Bogardo
Subject: Nominations: J.D. Crawford Prize
CALL FOR NOMINATIONS
SIAM Activity Group on Dynamical Systems J. D. Crawford Prize
The SIAG/DS J. D. Crawford Prize
--------------------------------
The SIAM Activity Group on Dynamical Systems will present the award at
the SIAM Conference on Applications of Dynamical Systems at Snowbird,
May 27-31, 2003. The prize is awarded for recent outstanding work on
a topic in dynamical systems and nonlinear science, as evidenced by a
publication in English in a peer-reviewed journal within the four
calendar years preceding the award date.
Description of Award
--------------------
The award will consist of a plaque, a certificate containing the
citation, and $750 plus reasonable travel expenses to attend the
conference.
Nominations
-----------
Nominations should be sent by e-mail, fax, or regular mail by
NOVEMBER 1, 2002 to:
SIAG/DS J.D. Crawford Prize
c/o A. G. Bogardo
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
Telephone: 215-382-9800
Fax: 215-386-7999
E-mail: bogardo@siam.org
Eligibility
-----------
The research of the candidate must contain significant contributions
to the field of nonlinear science, as evidenced by papers published in
English in a peer-reviewed journal bearing a publication date within
the award period.
Selection Committee
-------------------
Members of the selection committee are: M. Gregory Forest (Chair),
University of North Carolina; Mark Levi, The Pennsylvania State
University; Bjorn Sandstede, Ohio State University; Mary Silber,
Northwestern University; and Harry Swinney, University of Texas,
Austin.
Topic #15 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Preprints in xxx Archive
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
math.NT/0205003
Title: A strengthening of the Nyman-Beurling criterion for the Riemann
hypothesis, 2
Authors: Luis Baez-Duarte
Comments: 9 pages
Subj-class: Number Theory
math.CO/0205031
Title: A limiting form of the q-Dixon_4\phi_3 summation and related
partition identities
Authors: Krishnaswami Alladi, Alexander Berkovich
Comments: 12 pages
Subj-class: Combinatorics; Number Theory; Quantum Algebra
MSC-class: 05A17, 05A19, 11P83, 11P81, 33D15, 33D20
math.CA/0205045
Title: Parabolic Cylinder Functions: Examples of Error Bounds For
Asymptotic Expansions
Authors: Raimundas Vidunas (1 and 2), Nico M. Temme (2) ((1) CWI,
Amsterdam, (2) Korteweg-de Vries Instituut voor Wiskunde, Amsterdam)
Comments: 22 pages, 4 figures
Subj-class: Classical Analysis
MSC-class: 41A60 (Primary) 33C15, 33C10, 30E15, 33F05, 65D20
(Secondary)
math.QA/0205051
Title: Set-theoretical solutions to the Yang-Baxter Relation from
factorization of matrix polynomials and $\theta$-functions
Authors: Alexander Odesskii
Comments: 9 pages, to appear in Moscow Math Journal
Subj-class: Quantum Algebra
math.CO/0205055
Title: A new four parameter q-series identity and its partition
implications
Authors: Krishnaswami Alladi, George E. Andrews, Alexander Berkovich
Comments: 24 pages, reference added, minor stylistic changes, typos
eliminated
Subj-class: Combinatorics; Number Theory; Quantum Algebra
MSC-class: 05A15, 05A17, 05A19, 11B65, 33D15
math.CA/0205064
Title: Two-point Taylor Expansions of Analytic Functions
Authors: Jose L. Lopez (1), Nico M. Temme (2) ((1) Universidad Publica
de Navarra, Pamplona, (2) CWI, Amsterdam)
Comments: 14 pages, 10 figures
Subj-class: Classical Analysis
MSC-class: 30B10 (Primary) 30E20, 40A30 (Secondary)
math.CA/0205065
Title: Large Parameter Cases of the Gauss Hypergeometric Function
Authors: Nico M. Temme (CWI, Amsterdam)
Comments: 21 pages, 4 figures
Subj-class: Classical Analysis
MSC-class: 33C05 (Primary) 33C45, 41A60, 30C15, 41A10 (Secondary)
math.CA/0205094
Title: Differential properties of matrix orthogonal polynomials
Authors: M. J. Cantero, L. Moral, L. Velazquez
Comments: 23 pages
Subj-class: Classical Analysis
MSC-class: 42C05
math.CA/0205108
Title: Karlsson-Minton type hypergeometric functions on the root
system C_n
Authors: Hjalmar Rosengren
Comments: 13 pages
Subj-class: Classical Analysis
MSC-class: 33D67
math.QA/0205116
Title: Even powers of divisors and elliptic zeta values
Authors: Giovanni Felder (MSRI and ETH Zurich), Alexander Varchenko
(UNC Chapel Hill)
Comments: 5 pages
Subj-class: Quantum Algebra; Number Theory
MSC-class: 33E30;11F11
math.CV/0205134
Title: On the polynomial moment problem
Authors: F. Pakovich
Comments: 8 pages, 2 figure
Subj-class: Complex Variables; Dynamical Systems
MSC-class: 30E99; 34C99
math.CA/0205175
Title: Asymptotic zero behavior of Laguerre polynomials with negative
parameter
Authors: A.B.J. Kuijlaars, K.T-R McLaughlin
Comments: 28 pages, 10 figures
Subj-class: Classical Analysis; Complex Variables
MSC-class: 30E15; 33C45
math.QA/0205178
Title: On coefficients of Yablonskii-Vorob'ev polynomial
Authors: Masanobu Kaneko, Hiroyuki Ochiai
Comments: 11 pages, no figures
Subj-class: Quantum Algebra; Combinatorics
MSC-class: 34M55 (Primary) 33E17 (Secondary)
math.GM/0205183
Title: On the real zeroes of the Hurwitz zeta-function and Bernoulli
polynomials
Authors: A.P. Veselov, J.P. Ward
Comments: 9 pages, 2 figures
Subj-class: General Mathematics; Classical Analysis
MSC-class: 33E20, 12D10
math.QA/0205313
Title: Special functions, KZ type equations and Representation theory
Authors: Alexander Varchenko
Comments: Notes of a course given at MIT during the spring of 2002.
Notes taken by: J. Scott: Lectures 1-3, M. Grana: Lectures 4-6,
I. Mencattini: Lectures 7-12. 99 pages
Subj-class: Quantum Algebra; Mathematical Physics
math.SP/0205319
Title: Spectral estimates for periodic Jacobi matrices
Authors: E.Korotyaev, I.V.Krasovsky
Comments: 18 pages, 5 figures
Subj-class: Spectral Theory; Mathematical Physics
math.FA/0205332
Title: Asymptotic behavior of polynomials orthonormal on a homogeneous
set
Authors: Franz Peherstorfer, Peter Yuditskii
Subj-class: Functional Analysis; Numerical Analysis
math.FA/0205333
Title: Orthogonal polynomials in several variables. I
Authors: T. Constantinescu
Comments: 17 pages
Subj-class: Functional Analysis
math-ph/0205013
Title: Hyperspherical Functions and Linear Representations of the
Lorentz Group
Author: V.V. Varlamov
Comments: 20 pages, LaTeX2e
Subj-class: Mathematical Physics
MSC-class: 15A66, 22E70, 33C70
nlin.SI/0205010
Title: Painlev\'e expressions for LOE, LSE and interpolating ensembles
Authors: Jinho Baik
Comments: LaTex, 41 pages, 2 Figures
Subj-class: Exactly Solvable and Integrable Systems; Probability
Theory
math.NT/0206024
Title: Quasimodular solutions of a differential equation of
hypergeometric type
Authors: Masanobu Kaneko, Masao Koike
Comments: 6 pages, no figures
Subj-class: Number Theory
MSC-class: 11F11 (Primary) 33C05, 33C45 (Secondary)
math.QA/0206029
Title: Analysis of Zeta Functions, Multiple Zeta Values, and Related
Integrals
Authors: David H. Wohl
Comments: 9 pages
Subj-class: Quantum Algebra; Number Theory
MSC-class: 11M38;14H70;32G34;11G55
math.QA/0206030
Title: Selberg Integrals, Multiple Zeta Values and Feynman Diagrams
Authors: David H. Wohl
Comments: 10 pages
Subj-class: Quantum Algebra; Number Theory
MSC-class: 11M38;14H70;32G34;11G55
math.CA/0206032
Title: Inversion of bilateral basic hypergeometric series
Authors: Michael Schlosser
Comments: AMS-LaTeX, 23 pages
Subj-class: Classical Analysis; Combinatorics
MSC-class: 33D15; 15A09
math.CA/0206089
Title: Heat kernel expansions on the integers
Authors: F. Alberto Grunbaum, Plamen Iliev
Comments: 18 pages
Subj-class: Classical Analysis
math.CV/0206162
Title: Equilibrium distribution of zeros of random polynomials
Authors: Bernard Shiffman, Steve Zelditch
Comments: 19 pages, 3 figures
Subj-class: Complex Variables; Probability Theory
math.QA/0206171
Title: A variation of Euler's approach to values of the Riemann zeta
function
Authors: Masanobu Kaneko, Nobushige Kurokawa, Masato Wakayama
Comments: 13 pages
Subj-class: Quantum Algebra; Number Theory
MSC-class: 11M06 (primary), 11B65 (secondary)
math.CV/0206172
Title: Study of a functional equation associated to the Kummer's
equation of the trilogarithm. Applications
Authors: Pirio luc (Universite Paris VI)
Subj-class: Complex Variables; Differential Geometry
MSC-class: 39B(primary), 53A60 (secondary)
math.NT/0206176
Title: Arithmetic of linear forms involving odd zeta values
Authors: Wadim Zudilin (Moscow)
Comments: 42 pages, LaTeX; slight modification of the absract
Subj-class: Number Theory; Classical Analysis
MSC-class: Primary 11J72, 11J82; Secondary 33C60
math.CA/0206177
Title: Multiple-integral representations of very-well-poised
hypergeometric series
Authors: Wadim Zudilin (Moscow)
Comments: 8 pages, AmSTeX; a 2-page summary to appear in Uspekhi Mat.
Nauk [Russian Math. Surveys] 57:4 (2002)
Subj-class: Classical Analysis; Number Theory
MSC-class: Primary 33C20, 33C60; Secondary 11J82
math.NT/0206178
Title: A third-order Apery-like recursion for $\zeta(5)$
Authors: Wadim Zudilin (Moscow)
Comments: 5 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes]
72 (2002)
Subj-class: Number Theory; Classical Analysis
MSC-class: Primary 11Y60; Secondary 11J20, 33C20
math.NT/0206179
Title: Diophantine problems for q-zeta values
Authors: Wadim Zudilin (Moscow)
Comments: 6 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes]
72 (2002)
Subj-class: Number Theory; Classical Analysis
MSC-class: Primary 11J72, 11J82; Secondary 33D15
math.CA/0206199
Title: Beta-integrals and finite orthogonal systems of Wilson
polynomials
Authors: Neretin Yurii (Moscow)
Comments: 18 pages
Subj-class: Classical Analysis
MSC-class: 33C05. 33C20, 33C45, 44A15
math.CA/0206200
Title: Asymptotic expansions for ratios of products of
gamma functions
Authors: Wolfgang Bühring
Comments: 6 pages
Subj-class: Classical Analysis
MSC-class: 33B15; 33C20
math.NT/0206018
Title: Integral moments of L-functions
Authors: J. B. Conrey, D. W. Farmer, J. P. Keating, M. O. Rubinstein,
N. C. Snaith
Comments: 58 pages, AMSTeX
Subj-class: Number Theory; Mathematical Physics
MSC-class: 11M26; 15A52
math.DG/0206021
Title: Hyperbolic constant mean curvature one surfaces: Spinor
representation and trinoids in hypergeometric functions
Authors: Alexander I. Bobenko, Tatyana V. Pavlyukevich, Boris A.
Springborn
Comments: 29 pages, 9 figures. v2: figures of cmc1-surfaces corrected
Subj-class: Differential Geometry
MSC-class: 53A10; 53C42
math.NT/0206022
Title: On modular forms arising from a differential equation of
hypergeometric type
Authors: Masanobu Kaneko, Masao Koike
Comments: 19 pages, no figures
Subj-class: Number Theory
MSC-class: 11F11 (Primary) 33C05, 33C45 (Secondary)
math.NT/0206024
Title: Quasimodular solutions of a differential equation of
hypergeometric type
Authors: Masanobu Kaneko, Masao Koike
Comments: 6 pages, no figures
Subj-class: Number Theory
MSC-class: 11F11 (Primary) 33C05, 33C45 (Secondary)
math.QA/0206029
Title: Analysis of Zeta Functions, Multiple Zeta Values, and Related
Integrals
Authors: David H. Wohl
Comments: 9 pages
Subj-class: Quantum Algebra; Number Theory
MSC-class: 11M38;14H70;32G34;11G55
math.QA/0206030
Title: Selberg Integrals, Multiple Zeta Values and Feynman Diagrams
Authors: David H. Wohl
Comments: 10 pages
Subj-class: Quantum Algebra; Number Theory
MSC-class: 11M38;14H70;32G34;11G55
math.CA/0206032
Title: Inversion of bilateral basic hypergeometric series
Authors: Michael Schlosser
Comments: AMS-LaTeX, 23 pages
Subj-class: Classical Analysis; Combinatorics
MSC-class: 33D15; 15A09
math.RT/0206275
Title: Segal-Bargmann transform on Hermitian symmetric spaces and
Orthogonal Polynomials
Authors: Mark Davidson, Gestur Olafsson, Genkai Zhang
Subj-class: Representation Theory; Functional Analysis
math.CA/0206285
Title: Algebraic Solutions of the Lam\'e Equation, Revisited
Authors: Robert S. Maier (University of Arizona)
Comments: 20 pages, elsart document class, no figures
Subj-class: Classical Analysis; Mathematical Physics
MSC-class: 34A20 (Primary) 33E10,14H05 (Secondary)
hep-th/0206172
Title: Polynomials Associated with Equilibrium Positions in
Calogero-Moser Systems
Authors: S. Odake, R. Sasaki
Comments: 41 pages. A Mathematica file "poly.m" is attached
Subj-class: High Energy Physics - Theory; Mathematical Physics
math-ph/0206023
Title: Sum Rules and the Szego Condition for Orthogonal Polynomials
on the Real Line
Authors: Barry Simon, Andrej Zlatos
Subj-class: Mathematical Physics
MSC-class: 47B36; 42C05
math-ph/0206044
Title: 6j-symbols for symmetric representations of SO(n) as the
double series
Authors: S. Alisauskas
Comments: 21 page
Subj-class: Mathematical Physics; Representation Theory
MSC-class: 33C45; 81R05
nlin.SI/0205019
Title: On a q-Difference Painlev\'e III Equation: I. Derivations,
Symmetry and Riccati Type Solutions
Authors: Kenji Kajiwara (1), Kinji Kimura (2) ((1) Graduate School
of Mathematics, Kyushu University, (2) Department of Mathematics,
Kobe University)
Subj-class: Exactly Solvable and Integrable Systems
nlin.SI/0205063
Title: On a q-Difference Painlev\'e III Equation: II. Rational
Solutions
Authors: Kenji Kajiwara
Comments: 18 pages
Subj-class: Exactly Solvable and Integrable Systems
nlin.SI/0206009
Title: Computing Riemann Theta Functions
Authors: Bernard Deconinck, Matthias Heil, Alexander Bobenko,
Mark van Hoeij, Markus Schmies
Comments: 28 pages, 22 figures. Version with high resolution
figures available. Some typos corrected in web addresses
Subj-class: Exactly Solvable and Integrable Systems; Classical
Analysis
Topic #16 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
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Topic #17 ------------- OP-SF NET 9.4 ---------------- July 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org with a
copy to the OP-SF Editor . Please note that submissions
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OP-SF NET is a forum of the SIAM Activity Group on
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Send submissions to: poly@siam.org
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The elected Officers of the Activity Group (2002-2004) are:
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