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- July 15, 1998 -
- O P - S F N E T Volume 5, Number 4 -
- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -
- Editors: -
- Tom H. Koornwinder thk@wins.uva.nl -
- 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: majordomo@wins.uva.nl -
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Today's Topics
1. Introducing this issue
2. Activity Group Elections
3. OPSFA, Patras, 1999
4. Fifth International Conference on Approximation and Optimization
in the Caribbean
5. International Workshop on Special Functions: Hong Kong
6. Report on VIIth International Scientific Krawtchouk Conference
7. Celebrating Dick Askey's 65'th birthday
8. Book on Hypergeometric Summation
9. New Book on Hyperfunctions
10. Book on Fractional Order Integral Transforms of Hypergeometric
Type
11. Revised version of Koekoek-Swarttouw report
12. Book on Ramanujan
13. Graduate student research position
14. Journals for sale
15. Theodore von Karman Prize
16. From opsftalk
17. Plain TeX file (from Paul Nevai)
18. MSC2000 classification scheme
19. Electronic Preprint Archives: Haubold's archive and the xxx
archives
20. Classical Analysis preprints in xxx archive
21. New items in Hans Haubold's preprint archive
22. Changes of Address, WWW Pages, etc.
23. Subscribing to OP-SF NET
24. Obtaining back issues of OP-SF NET and submitting contributions
to OP-SF NET and Newsletter
Calendar of Events:
1998
July 13-17: SIAM Annual Meeting, Toronto, Canada 5.1 #3, 5.2 #2, 5.3 #1
July 30 - August 7: International Workshop on Self-Similar Systems
Dubna, Russia 4.6 #7, 5.2 #6
August 10-12, 1998: Conference on Combinatorics and Physics,
Los Alamos, New Mexico, USA 5.3 #6
August 31 - September 6, 1998: 42nd Seminaire Lotharingien
de combinatoire, Maratea, Basilicata, Italy 5.3 #7
1999
March 29 - April 2: Fifth International Conference on Approximation
and Optimization in the Caribbean, Guadeloupe 5.4 #4
June 21-25: Conference on Special Functions, Hong Kong 5.2#7, 5.4 #5
September 20-24: International Symposium on Orthogonal Polynomials,
Special Functions and Their Applications, Patras, Greece 5.4 #3
Topic #1 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: OP-SF NET editors ,
Subject: Introducing this issue
We hope a lot of interesting and useful material is collected in this
issue. In particular, note the following topics:
- We congratulate Dick Askey on his 65th birthday. See Topic #7.
- Most of the present elected officers of our Activity Group will not
come up for elections again this fall. However, we are very pleased with
the quality of the slate put together for the coming elections. See Topic
#2.
- The Classical Analysis (CA) subcategory of the xxx archives has
reformulated its keywords such that they begin now with Orthogonal
polynomials and Special functions. The xxx archive is very interested
in absorbing all the papers in Hans Haubold's present op-sf site. We
think that the xxx archives are a wonderful facility for efficient and
early communication of new preprints. We suggest that authors in the
field of OP & SF post their preprints in future to the subcategory CA
of the xxx archives (with possible cross-linking to one or more other
subcategories), or to another, more suitable subcategory while
cross-linking to CA. See Topic #19.
- The listserv opsftalk is a discussion forum in
orthogonal polynomials and special functions. It started last November.
Presently there are 43 subscribers. If you want to send a contribution
to OP-SF NET and if you want to have this read as soon as possible,
you may send it as well to opsftalk@wins.uva.nl. Then it will also be
considered for inclusion in OP-SF NET. See Topic #16.
Tom Koornwinder and Martin Muldoon
Topic #2 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Activity Group Elections
I am writing on behalf of the nominating committee for selecting
candidates for office for the SIAM Activity Group on Orthogonal
Polynomials and Special Functions. This committee consists of George
Gasper, Martin Muldoon, Charles Dunkl, Willard Miller, Nico Temme and
myself. We have put together the following slate:
Chair:
Daniel W. Lozier
National Institute of Standards and Technology
Gaithersburg, MD, USA
email: dlozier@nist.gov
Vice-Chair:
1. Walter Van Assche
Katholieke Universiteit Leuven
Leuven, Belgium
email: Walter.VanAssche@wis.kuleuven.ac.be
2. Rupert Lasser
GSF-National Research Center for Environment and Health
Institute for Biomathematics and Biometry
Ingolstaedter Landstr. 1
85764 Neuherberg
Germany
email: martina.probst@gsf.de
Secretary:
1. Charles F. Dunkl
University of Virginia
Charlottesville, VA, USA
email: cfd5z@virginia.edu
2. M. Lawrence Glasser
Clarkson University
Potsdam, NY, USA
email: laryg@sun.mcs.clarkson.edu
Program Director:
1. Francisco Marcellan
Univ. Carlos III de Madrid
Leganes, Spain
email: pacomarc@ing.uc3m.es
2. Peter A. McCoy
US Naval Academy
Annapolis, MD, USA
email: pam@sma.usna.navy.mil
All proposed persons have been contacted by us, and they are willing
to be a candidate for the office mentioned.
There will be elections for vice-chair, secretary, program director.
A ballot will be mailed to all members this summer and those elected will
hold office for a three-year period beginning January 1, 1999.
Tom Koornwinder
Topic #3 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Panos Siafarikas
Subject: OPSFA, Patras, 1999
On September 20-24, 1999 the Fifth International Symposium on Orthogonal
Polynomials, Special Functions and their Applications (OPSFA, in short)
will be held in Patras, Greece at the Department of Mathematics,
University of Patras.
The OPSFA follows the European Conferences of Bar-Le-Duc (1984), France;
Segovia (1986), Spain; Erice (1990), Italy; Evian (1992), France; and also
Granada (1991, VII SPOA), Spain; Delft (1994, in honor of Thomas Jan
Stieltjes Jr. (1856-1894)), Netherlands; and Sevilla (1997, VIII SPOA),
Spain.
The scientific program is currently being elaborated by the scientific
committee:
Walter Van Assche (Belgium)
Marcel de Bruin (Holland)
Evangelos Ifantis (Greece)
Andrea Laforgia (Italy)
Lance Littlejohn (USA)
Paco Marcellan (Spain)
Martin Muldoon (Canada)
Panayiotis Siafarikas (Greece).
It consists of some plenary lectures and short communications (20
minutes). The second circular, to be distributed next autumn will give
detailed information about it.
The cost of attendance is expected to be very reasonable. The following
estimates are subject to change but it is anticipated that the
registration fee will be around 50.000 drachmas (1$=300 drachmas approx.),
which includes the admission to the Symposium, a copy of the book of
abstracts, a copy of the Proceedings, reception and participation in some
social events (welcome drink, a Greek evening, a visit to ancient Olympia,
etc).
To help us with the organisation of the Symposium, we would appreciate if
you, already at this early stage, could indicate your potential
attendance. If you are interested in being invited to participate or in
receiving subsequent circulars, please fill out the preregistration form
(available at our website or from us) and return it as soon as possible
and, in any case, not later than October 31, 1998 to the Symposium Mailing
Address.
The Symposium will be held at the building of Department of Mathematics of
the University of Patras. The Department is located at the University
Campus, 7 km from downtown of the city of Patras and 3 km from Rio region,
where there are many hotels which the participants could choose to stay.
(More details will be given in the next circulars.)
Access to Patras is easy; it lies along the National Road that connects
Athens with Patras (220 km). For more information see also "how to reach
Patras" at our website.
Mailing Address:
Fifth International Symposium on Orthogonal Polynomials, Special
Functions and their Applications.
Department of Mathematics (to Prof. P. D. Siafarikas)
University of Patras
Patras 26500 Greece
Tel. - Fax: +(3) 061 997169
E-Mail: OPSFA@math.upatras.gr
Web Site: http://www.math.upatras.gr/opsfa/
LOCAL ORGANISING COMMITTEE:
E. K. Ifantis
C. G. Kokologiannaki
P. D. Siafarikas
Please bring this announcement to the attention of interested people.
Looking forward to seeing you in Patras.
Panos D. Siafarikas
(On behalf of the Organizing Committee)
Topic #4 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Francisco Marcellan
Subject: Fifth International Conference on Approximation and Optimization
in the Caribbean
Fifth International Conference on Approximation and Optimization in the
Caribbean: Universite des Antilles et de la Guyane, Guadeloupe, French
West Indies, March 29-April 2, 1999
First announcement
Aim and Scope of the Conference
This conference is the fifth of a series dedicated to research on
Approximation and Optimization in the Caribbean. This series was jointly
initiated by Humboldt Universitat (Berlin), RWTH (Aachen) and Universidad
de la Habana (La Habana). The first two meetings were held in Havana in
1987 and 1993. Since then, these meetings have been organized every two
years in a new country from the Caribbean area: Puebla (Mexico) in 1995,
Caracas (Venezuela) in 1997, Pointe a Pitre (Guadeloupe) in 1999. They are
supervised by an Executive Committee.
The goal of these conferences is to support the development of high level
education and research in the Caribbean. They propose tutorials,
mini-symposia, invited lectures and contributed talks, on the following
topics:
1. Approximation: Wavelets, polynomial and rational approximation,
splines, orthogonal polynomials, interpolation, asymptotic
analysis, radial basis functions. Quadrature formulas.
2. Optimization: Nonlinear equations and inequalities, continuous and
discrete optimization, parametric, stochastic and global optimization,
nonsmooth analysis, critical point theory, control theory.
3. Mathematical Economics: Fixed point theory, equilibria of competitive
economies, financial markets, cooperative and non-cooperative games.
4. Applications: Engineering and energy models, robotics, pattern
recognition, image restoration, applications in biology, economy and
sciences.
Executive Committee: M. Florenzano (Paris), J. Guddat (Berlin), M. A.
Jimenez (Puebla), H. Th. Jongen (Aachen), G. Lopez Lagomasino (La Habana).
Organizing Committee: S. Allende (La Habana), U. Garcia Palomares
(Caracas), R. Janin (Poitiers ), M. Lassonde, A. Moudafi, O. Nakoulima, J.
Narayaninsamy (Pointe a Pitre).
Scientific Program:
1. Tutorials:
Wavelets Methods for Numerical Simulation, by A. Cohen and Y. Meyer
(France),
Convex Analysis and Nonsmooth Optimization, by J. Borwein (Canada).
2. Invited talks: A. P. Araujo (Brazil), H. Attouch (France), A.
Bensoussan (France), P.-L Butzer (Germany), F. Clarke (France), I. Ekeland
(France), C.C. Gonzaga (Brazil), T. Ichiishi (U.S.A.), A. Ioffe (Israel),
E. Saff (U.S.A.), S. Smale (Hong-Kong), H. Stahl (Germany), W. Van Assche
(Belgium).
General Organization:
The Conference will take place in a nice building of the campus of the
Antilles-Guyane University located on a hill above the Marina. A Hotel
close to the campus will be proposed to the participants. Lunches will be
taken on the campus. The lectures will start on Monday (29th March) and
finish on Friday (2nd April). The social program of the conference will
start on Sunday (28th March) by a Welcome Party. Wednesday afternoon will
be devoted to an excursion. A banquet is also planned.
The conference fee should be between 600 F and 900 F (between 100 US$ and
150 US$), depending on the financial situation, to be paid on arrival.
The fee covers lunches, the whole social program, the book of abstracts.
If your participation in the Conference is conditional on financial
support, please let us know; we hope to be able to provide some partial
support. In any case, the organizers will do the best to exempt from the
fee at least the participants from the Caribbean area.
Contributions, Submission and Program Committee:
Applicants to the tutorials should send a short CV via e-mail to:
appopt5@univ-ag.fr, subject: tutorial
Contributors are invited to submit abstracts in TeX or LaTeX via e-mail
to:
appopt5@univ-ag.fr, subject: abstract
Participants can also propose a mini-symposium on a specific topic with
4-5 speakers. A proposal for a mini-symposium, stating the theme, the list
of speakers and the abstracts, should be sent via e-mail to:
appopt5@univ-ag.fr, subject: mini-symposium
The deadline for applications to the tutorials and for submissions of
contributions is 30 October 98. Admission in tutorials and acceptance of
abstracts or mini-symposia will be notified by 15 December 98.
Research results which are obtained from joint Caribbean projects and
which involve young researchers are especially welcomed. We intend to
publish the proceedings of the conference in a special volume of the
Caribbean Journal of Mathematics and Computing Sciences (CJMCS).
Program Committee
Chair: J. Guddat
- Approximation: D. Hinrichsen (Germany), D. Lubinsky (South Africa), F.
Marcellan (Spain), W. Roemisch (Germany), H. Wallin (Sweden)
- Optimization: J.-B. Hiriart-Urruty (France), P. Kall (Switzerland), B.S.
Mordukhovich (U.S.A.), J. Stoer (Germany), M. Tapia (U.S.A.)
- Mathematical Economics: B. Cornet (France), C. Herrero (Spain), E.
Jouini (France), H. Keiding (Denmark), V. Vasilev (Russia)
To get more information please contact:
M. Lassonde,
Departement de Mathematiques,
Universite des Antilles et de la Guyane,
97159 Pointe a Pitre, Guadeloupe, France.
e-mail: appopt5@univ-ag.fr
For updated information visit the Conference WWW page
http://www.cepremap.cnrs.fr/conferences/appopt5.html
Francisco Marcellan
pacomarc@ing.uc3m.es
Topic #5 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Charles Dunkl
Subject: International Workshop on Special Functions: Hong Kong
(from http://www.math.virginia.edu/~cfd5z/HK99/home.html)
International Workshop on Special Functions
Asymptotics, Harmonic Analysis, and Mathematical Physics
June 21-25, 1999
City University of Hong Kong
First Announcement
Objective:
The purpose of this conference is to provide a forum for an exchange of
ideas among experts in various topics listed below. It also aims at
disseminating information on recent advances made in these areas.
Session Topics:
Asymptotics
Classical Special Functions
Harmonic Analysis and Quantum Groups
Mathematical Physics and Partial Differential Equations
Orthogonal Polynomials
Organizing Committee:
Charles F. Dunkl, University of Virginia, USA
Mourad Ismail, University of South Florida, USA
Roderick Wong, City University of Hong Kong
Plenary Speakers:
K. Aomoto, Nagoya U, Japan
R. Askey, U. of Wisconsin
T. Baker, U of Melbourne
C. Berg, U of Copenhagen
C. Dunkl, U of Virginia
G. Gasper, Northwestern U,
W. Gautschi, Purdue and ETH (Zurich)
E. Koelink, U of Amsterdam
A. McBride, U of Strathclyde, Scotland
F. Olver, U of Maryland
R. O'Malley, U of Washington (*)
E. Opdam, U of Leiden
R. Simion, George Washington U
D. Stanton, U of Minnesota
N. Temme, CWI, Amsterdam
A. Terras, U of California at San Diego (*)
V. Totik, U of Szeged and U of South Florida
L. Vinet, CRM, U of Montreal
R. Wong, City U of Hong Kong
Y. Xu, U of Oregon
(*) to be confirmed
Call for Papers:
Titles and abstracts of contributed papers must be received by January
31, 1999. The abstracts should be preferably typed in LaTeX, not to
exceed one page, and sent to the Workshop Secretary (see address below)
by e-mail.
Information:
Colette Lam
IWSF¹99 Workshop Secretary, Department of Mathematics,
83 Tat Chee Avenue, Kowloon, Hong Kong
Tel: +852 2788-9816, Fax: +852 2788-8561
E-mail: malam@cityu.edu.hk
Scientific Information:
E-mail: hkconf99@weyl.math.virginia.edu
Web Site: http://www.math.virginia.edu/~cfd5z/HK99/home.html
Topic #6 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Vadim Zelenkov
Subject: Report on VIIth International Scientific Krawtchouk Conference
The 7th International Krawtchouk Conference took place in Kiev, Ukraine,
from May 14 to May 16, 1998. Below are some titles of the reports related
to orthogonal polynomials, special functions and integral transforms.
M. Khomenko, M. Krawtchouk's background
V. Zelenko, Recent development of M. Krawtchouk's ideas: related
articles
Yu. Bily, M. Krawtchouk on international mathematical forums
M. Babyuk, Integral Hankel type transforms of the 1st kind and
spectral parameter in a boundary condition
N. Virchenko, About integral equations with generalized Bessel
type functions
V. Gaidei, New generalization of integral transform of the Bessel
type
V. Zelenkov, V. Savva, Orthogonal polynomials as a tool to solve
differential equations describing multilevel systems dynamics
V. Korolyuk, Stochastic Krawtchouk polynomials
A. Mazurenko, V. Savva, Discrete variable polynomials: Analog of
the Christoffel formula and its application to solve some differential
equations
Yu. Mamteev, V. Stukalina, T. Hoochraeva, Features of an algorithm for
calculating the modified function by recurrence relations
M. Mironenko, Pair adder equation in periodic contact problems
A. Mironov, On the integral equations for the Riemann function
G. Prizva, Generalization of classical orthogonal polynomials of
discrete variable
E. Seneta, Characterization of Markov chains by orthogonal polynomial
systems
S. Tsurpal, Interaction of simple single waves with a structure as
Chebyshev-Hermite functions of any index in the materials with microstructure
O. Manzyi, Decomposition of the ratio of Appell hypergeometric functions
F_3 into the ramified chain fraction
The 8th Conference is to be held in May 2000.
Vadim Zelenkov
Topic #7 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Celebrating Dick Askey's 65'th birthday
Dick Askey's 65'th birthday was on June 4, 1998. This was celebrated at
the recent conference on "q-Series, Combinatorics and Computer Algebra"
held at South Hadley, Massachusetts, USA during June 21-25, 1998. During
a special afternoon session on June 22, various aspects of Dick's work
were briefly discussed by George Gasper, Tom Koornwinder, Dennis Stanton,
George Andrews (read by Dennis), and Mourad Ismail. During the banquet on
the same day, an Askey Photo Album collected by Sergei Suslov was
presented. It can be seen at: http://www.public.asu.edu/~sergei/dick/
Then a number of people stood up and shared personal reminiscences about
Dick. I think all present will remember the banquet as a special, warm,
and memorable occasion. A common element in the speeches was that meeting
Dick changed the mathematical life of people. Many of us would not have
worked in Orthogonal polynomials and Special functions without Dick, and
the field would have been much less advanced.
[Editors' Note: We expect to include a report on the Conference in a
future issue]
Topic #8 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Wolfram Koepf
Subject: Book on Hypergeometric Summation
Hypergeometric Summation
By Wolfram Koepf
Verlag Vieweg, Braunschweig/Wiesbaden, 1998, 230 pp.,
DM 69.00, US$ 49.00,
distributed in North-America by the AMS, ISBN 3-528-06950-3
In this book "Hypergeometric Summation. An Algorithmic Approach to
Summation and Special Function Identities", modern algorithmic techniques
for summation, most of which have been introduced within the last decade,
are developed and carefully implemented in the computer algebra system
Maple.
The algorithms of Gosper, Zeilberger and Petkovsek on hypergeometric
summation and recurrence equations and their q-analogues are covered, and
similar algorithms on differential equations are considered. An
equivalent theory of hyperexponential integration due to Almkvist and
Zeilberger completes the book.
The combination of all results considered gives work with orthogonal
polynomials and (hypergeometric type) special functions a solid
algorithmic foundation. Hence, many examples from this very active field
are given.
The present book is designed for use in the framework of a seminar but is
also suitable for an advanced lecture course in this area. Many exercises
are included.
The software to this book and worksheets with the sessions in the book and
the solution of the exercises can be obtained from
http://www.vieweg.de/welcome/downloads/supplements.htm
as compressed zip files, or from my homepage
http://www.imn.htwk-leipzig.de/~koepf
under "Research Activities, Projects"
(www.imn.htwk-leipzig.de/~koepf/research.html).
Contents:
- Preface
- Introduction
- The Gamma Function
- Hypergeometric Identities
q-Hypergeometric Identities
- Hypergeometric Database
q-Hypergeometric Database
- Holonomic Recurrence Equations
Multiple Summation
q-Holonomic Recurrence Equations
- Gosper's Algorithm
Linearization of Gosper's Algorithm
q-Gosper Algorithm
- The Wilf-Zeilberger Method
q-WZ method
- Zeilberger's Algorithm
q-Zeilberger Algorithm
- Extensions of the Algorithms
- Petkovsek's Algorithm
q-Petkovsek Algorithm
- Differential Equations for Sums
q-Differential Equations for Sums
- Hyperexponential Antiderivatives
- Holonomic Equations for Integrals
- Rodrigues Formulas and Generating Functions
- Appendix: Installation of the Software
- Bibliography
- List of Symbols
- Index
Wolfram Koepf
Topic #9 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Kenneth Ross
Subject: New Book on Hyperfunctions
(see http://www.birkhauser.ch/new/math/43/3943.htm)
The following book appeared:
K.A. Ross e.a. (eds.),
International Conference on Harmonic Analysis,
Birkhauser, 1998.
256 pages, ISBN 3-7643-3943-8
Table of Contents:
Preface
Sanjeev Agrawal & Dinesh Singh, "De Branges modules in H^2(C^k)"
Leonard Gallardo, "Some methods to find moment functions on hypergroups"
Marc-Olivier Gebuhrer, "About some random Fourier series and multipliers
theorems on compact commutative hypergroups"
Henry Helson, "Disintegration of measures"
Benjamin Lotto & Donald Sarason, "Multipliers of de Branges-Rovnyak
spaces, II"
R. Nair, "On Hartman uniform distribution and measures on compact spaces"
Kenneth A. Ross, "Hypergroups and signed hypergroups"
Alan L. Schwartz, "Three lectures on hypergroups: Delhi, December 1995"
Henrik Stetkaer, "Harmonic analysis and functional equations"
V. S. Sunder & N. J. Wildberger, "Actions of finite hypergroups and
examples"
Ryszard Szwarc, "Positivity of Turan determinants for orthogonal
polynomials"
K. Trimeche, "Wavelets on hypergroups"
Martin E. Walter, "Semigroups of positive definite functions and related
topics"
N. J. Wildberger, "Characters, bi-modules and representations in Lie group
harmonic analysis"
Topic #10 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Vadim Zelenkov
Subject: Book on Fractional Order Integral Transforms of Hypergeometric
Type
Fractional Order Integral Transforms of Hypergeometric Type By N.
Virchenko and V. Tsarenko, Kiev, 1995, 216 pages, ISBN 5-7702-1101-6, in
Russian
This book deals with the theory and apparatus of new integral transforms
(the fractional G-transforms) with kernels which are transcendental
solutions of differential equations of hypergeometric type.
Following this is a development and research in the theory of integral
operators, integral equations with Gauss hypergeometric function which
correspond to different special cases of parameters and variables.
The main titles of the sections are as follows:
Chapter 1. Integral transforms of the fractional order connected to
orthogonal polynomials.
1. Some information on the theory of orthogonal polynomials.
2. Integral transforms of fractional order.
3. Basic fractional operational calculus.
4. Some applications of integral fractional G-calculus.
Chapter 2. Integral transforms connected to the hypergeometric function
_2F_1(a,b;c;z).
1. Application of classical methods for reception of the inversion
formulae.
2. Method of fractional integro-differentiation.
Topic #11 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Roelof Koekoek
Subject: Revised version of Koekoek-Swarttouw report
Recently a completely revised and updated version of our report appeared:
Roelof Koekoek and Ren'e F. Swarttouw,
"The Askey-scheme of hypergeometric orthogonal polynomials and its
q-analogue",
Delft University of Technology, Faculty of Information Technology and
Systems,
Department of Technical Mathematics and Informatics,
Report no. 98-17, 1998.
A PostScript-file can be obtained by using ftp :
ftp://ftp.twi.tudelft.nl/TWI/publications/tech-reports/1998/DUT-TWI-98-17.ps.gz
More information (including a link to this ftp-address) can be found on :
http://aw.twi.tudelft.nl/~koekoek/research.html
Roelof Koekoek and Rene F. Swarttouw.
Topic #12 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Book on Ramanujan
I received the followong book:
Srinivasa Ramanujan, a Mathematical Genius
By K. Srinivasa Rao
EastWest Books, Madras, 1998, xii+231 pp.,
ISBN: 81-86852-14-X
Contents:
Foreword by Bruce C. Berndt
Preface
Acknowledgements
1. Life of Ramanujan
2. Ramanujan's Mathematics: Glimpses
3. Ramanujan's Notebooks
4. Hardy on Ramanujan
5. Chandra and Ramanujan
6. Books and Busts
7. What is where
Appendix 1. Research publications of Ramanujan
Appendix 2. Wren Library Card Catalogue and Papers of Ramanujan
Appendix 3. File on S. Ramanujan at the National Archives and at the
Tamil Nadu Archives
References
Notes
Tom Koornwinder
Topic #13 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Sergei K. Suslov
Subject: Graduate student research position
Position: one graduate or PhD student to work with Dr. Sergei K. Suslov.
Duration: 3 years
Project: Basic Fourier Series and Their Extensions
Program: NSF Analysis Program
Abstract:
The study of Fourier series has a long and distinguished history in
mathematics. Historically, Fourier series were introduced in order to
solve the heat equation, and since then these series have been frequently
used in various applied problems. Much of modern real analysis including
Lebesgue's fundamental theory of integration had its origin in some deep
convergence questions in Fourier series. There is a great deal of interest
these days in basic (or q-)extensions of Fourier series and their theory.
In this project we intend to lay a sound foundation for this study. We
introduce basic Fourier series, investigate their main properties, and
consider some applications in mathematical physics. For more info see Dr.
Suslov's webpage
http://www.public.asu.edu/~sergei/
Requirements:
Experience in any area of classical analysis, approximation theory, or
orthogonal polynomials and q-special functions is essential. Some
experience in any area of computational mathematics is also necessary.
The main campus of Arizona State University has approximately 43,000
students and is located in the rapidly growing metropolitan Phoenix area,
which provides a wide variety of recreational and cultural opportunities.
The Department of Mathematics currently has 58 full time faculty members,
27 Lecturers and over 70 supported Graduate Students. Departmental
computing facilities include networked clusters of high-end workstations
as well as several graphics computers and access to the University's
central computing facilities.
Applicants must send their resume, a letter of intent and three letters
of recommendation to be sent by to:
Dr. Sergei K. Suslov
Department of Mathematics
PO Box 871804
Arizona State University
Tempe, AZ 85287-1804
Review of the applications will begin immediately and will continue
until the position is filled.
Sergei K. Suslov
suslov@math.la.asu.edu
Topic #14 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: John Boersma
Subject: Journals for sale
For various reasons, such as my recent retirement, I want to sell my
back volumes of SIAM J. Appl. Math. and SIAM J. Math. Analysis.
SIAM Journal on Applied Mathematics,
Vol. 15 (1967) - Vol. 57 (1997), 52 bound volumes;
SIAM Journal on Mathematical Analysis,
Vol. 1 (1970) - Vol. 28 (1997), 38 bound volumes.
John Boersma
Topic #15 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Allison Bogardo
Subject: Theodore von Karman Prize
SIAM will present the Theodore von Karman Prize at the 1999
SIAM Annual Meeting in Atlanta, Georgia, May 12-15. The
award will be given for a notable application of mathematics
to mechanics and/or the engineering sciences made during the
five to ten years preceding the award. The award may be
given either for a single notable achievement or for a
collection of such achievements.
The award consists of a hand-calligraphed certificate and a
$1,000 cash prize. Expenses for the winner to attend the
annual meeting to receive the award will be borne by SIAM.
Further information about the award, including past winners
may be found at http://www.siam.org/prizes/vonkar.htm
A letter of nomination, including a description of
achievement(s) should be sent by September 1, 1998,
preferably by email to:
von Karman Prize Selection Committee
c/o Allison Bogardo
SIAM
3600 University City Science Center
Philadelphia, PA 19104-2688
E-mail: bogardo@siam.org
Telephone: 215-382-9800
Fax: 215-386-7999
The selection committee consists of Professors
Jerrold E. Marsden (Caltech, Chair),
Philippe G. Ciarlet (Laboratoire d'Analyse Numerique, Paris),
and Joseph B. Keller (Stanford University).
Topic #16 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: OP-SF Net Editor
Subject: From opsftalk
(a)
From: Alan Horwitz
Subject: Zeroes and critical points of orthogonal polynomials
Editorial note: the following two postings by Alan Horwitz to
sci.math.research and sci.math.num-analysis were forwarded via opsftalk
by Vadim Zelenkov .
1. (June 2, 1998)
I am interested in upper and lower bounds for the zeroes r_k and
critical points x_k of orthogonal polynomials of degree n. I do not
want numerical bounds, but bounds which are functions of k and n. In
particular, I need bounds for the critical points of the Chebyshev
polynomials of the second kind(the zeroes are known), and bounds
for the zeroes and critical points of the Legendre polynomials. Any
information would be helpful.
2. (June 10, 1998)
Let p(x) be a polynomial with all real zeroes r_1 < r_2 < ... < r_n and
critical points x_1 < x_2 < ... < x_(n-1). Define the ratios s_k =
(x_k-r_k)/(r_(k+1)-r_k), k = 1,2,...,n-1. I have recently done some
research in this area. One of the questions I was interested in was the
monotonicity fo the ratios. I proved that for n = 4(n = 3 is trivial) the
ratios are monotonic-i.e. s_1 < s_2 < s_3, while for n>=5, the ratios are
not monotonic in general. I now want to investigate properties of the
ratios of some of the classical orthogonal polynomials. In particular, I
can prove that for the Chebyshev polynomials T_n:Let s_k,n denote the kth
ratio of T_n. Then s_k,n < s_k+1,n(so the ratios are increasing for fixed
n) and s_k,n > s_k,n+1(so the ratios are decreasing functions of n). For
some of the other classical orthogonal polynomials this is not as easy to
show(numerical evidence indicates it's true for the Legendre polynomials)
since one does not have explicit formulas for the roots and critical
points. Has anyone seen results of this type before? Is this sort of
result interesting to those doing research in orthogonal polynomials?
I'm looking for good upper and lower bounds on r_k and x_k(as functions of
n and k) which might enable me to prove more general results.
Dr.Alan Horwitz
Penn State University
25 Yearsley Mill Rd.
Media, PA 19063
(610)-892-1449
alh4@psu.edu
Home Page: http://www.math.psu.edu/horwitz/
(b)
From: Chris Farr
Subject: 2-D Chebyshev Polynomial Regression
Editorial note: the following posting to a newsgroup by Chris Farr
was forwarded via opsftalk by Vadim Zelenkov
.
Has anyone created a function in Mathematica to approximate a
function of two variables using 2-D Chebyshev Polynomial Regression?
That is, has someone created a Mathematica algorithm which takes
as its input a real valued function f(x,y) defined on [a,b] X [c,d] and
returns a Chebyshev polynomial approximation p(x,y)?
If so, I would be interested in obtaining it.
Thanks,
Chris Farr (July 7, 1998)
(c)
From: Paul Nevai
Subject: OPs in the class M - a follow up
On 2/25/98 I asked via OP-SF TALK whether it is known that if the measure
is in the class M then there are finitely many masspoints greater than 1
if and only if the ratio of the consecutive ops evaluated at the point 1
converges to 1.
Thomas Dehn (dehn@ipmsun5.mathematik.uni-karlsruhe.de) responded (via Tom
Koornwinder) on 4/4/98 that he proved the above result in 1991, and it is
contained both in his Ph.D. thesis (which is written in German) and in [D]
(Theorem 4.3, p. 216 and the remark after the proof).
It turns out that the proof of [D, Theorem 4.3] is partially incomplete.
In what follows in the next item (see TeX file in Topic #17) is a
`complete' proof of the above statement. Although perfectly processable
by TeX, this is a somewhat raw text and is not meant to be perceived as a
final version.
N.B. that it was I who wrote this message. However, it is based on
extensive correspondence with Thomas Dehn.
[D] Thomas Dehn, A shortcut to asymptotics for orthogonal polynomials.
Proceedings of the Fifth International Congress on Computational and
Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. 50 (1994), no.
1-3, 207-219. MR 95h:41054.
(d)
From: OP-SF NET editor
Subject: about opsftalk
The listserv opsftalk is a discussion forum in
orthogonal polynomials and special functions. It started last November.
Presently, there are 43 subscribers. Postings are welcome. In particular,
if you want to send a contribution to OP-SF NET, and if you think it
is suitable for opsftalk, please post it there, and it will automatically
be considered for inclusion in OP-SF NET.
To subscribe, send a message to
majordomo@wins.uva.nl
and put in the body of the message only the words:
subscribe opsftalk
You can post messages by sending mail to
opsftalk@wins.uva.nl
Your message will then be automatically forwarded to everybody
on the opsftalk list.
The postings received during January 13 - March 12, 1998 were archived
by Tom Koornwinder at URL
http://turing.wins.uva.nl/~thk/opsftalk/archive.html.
Postings received from March 14, 1998 onwards will be automatically
archived at URL
http://www.findmail.com/listsaver/opsftalk/
Please note that email addresses in the messages posted at findmail
look incomplete, but become complete when you click on it.
Topic #17 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Paul Nevai
Subject: plain TeX file (long) (See part (c) in Topic #16)
\input amstex
\documentstyle{amsppt}
\magnification=\magstep1
\hsize6.5truein\vsize8.9truein
\parskip=8pt\parindent=0pt
\TagsOnRight
\document
From: Paul Nevai (nevai\@math.ohio-state.edu)
Subject: OPs in the class M - a follow up \newline
\define\DEF{\overset\text{def}\to=}
\define\sign{\operatorname{sign}}
\define\supp{\operatorname{supp}}
THE MEASURE. $\alpha$
THE NORMALIZED ORTHOGONAL POLYNOMIALS. $p_n(\alpha)$ [or $p_n$]
THE MONIC ORTHOGONAL POLYNOMIALS. $P_n(\alpha)$ [or $P_n$]
THE RECURSION FORMULA.
$$ xp_n(x) = a_{n+1} p_{n+1}(x) + b_n p_n(x) + a_n p_{n-1}(x) $$
and
$$ xP_n(x) = P_{n+1}(x) + b_n P_n(x) + a_n^2 P_{n-1}(x) $$
THE RECURSION COEFFICIENTS.
The $a_n$'s are positive and the $b_n$'s are real.
DEFINITION. The measure $\alpha$ is in the class $M(a,b)$ if the
recurrence coefficients of the corresponding orthogonal polynomials
converge to $a/2$ and $b$ respectively.
DEFINITION. $M$ is $M(1,0)$.
DEFINITION. $M^*$ is the class of measures with asymptotically periodic
recurrence coefficients [this is needed only for the partial
generalization of the Theorem below].
NOTE. In the class $M$
$$
\lim_{n\to\infty} \frac{p_{n+1}(x)}{p_n(x)}
= 2 \lim_{n\to\infty} \frac{P_{n+1}(x)}{P_n(x)}
$$ if one of the limits exists.
THE SECOND KIND CHEBYSHEV POLYNOMIALS. $U_n$. We have $U_n(1) = n+1$.
THEOREM. If the measure $\alpha$ is in the class $M$ and if $x\in\Bbb R$,
then
$$ \supp(\alpha) \cap [x,\infty) \ \text{\rm is finite} \tag F $$
if and only if the positive limit
$$ \lim_{n\to\infty} \frac{p_{n+1}(x)}{p_n(x)} > 0 \tag L $$
exists.
PARTIAL GENERALIZATION OF THE THEOREM. If the measure $\alpha$ is in the
class $M^*$ and if $x$ greater or equal than the least upper bound for the
essential support of $\alpha$, then (F) holds if and only if the positive
limit in (L) exists.
PROOF OF THE THEOREM.
1) Let $x<1$. Then by Blumenthal's Theorem $\supp(\alpha) \cap [x,\infty)$
is infinite. In addition, if the positive limit
$$ \ell \DEF \lim_{n\to\infty} \frac{P_{n+1}(x)}{P_n(x)} >0$$
exists then by the recurrence formula
$$ x=\ell + \frac 1{4\ell} . $$
Since
$$ \inf_{\ell>0} \left(\ell + \frac 1{4\ell}\right) =1 , $$
we have $x\ge1$. So that in this case neither (F) nor (L) holds.
2) Let $x>1$.
Then by Blumenthal's Theorem $\supp(\alpha) \cap [x,\infty)$ is finite.
In addition, by Poincar\'e's Theorem
$$ \lim_{n\to\infty} \frac{P_{n+1}(x)}{P_n(x)} $$
exists and is equal to $\frac{x+\sqrt{x^2-1}}2$ which is positive.
Thus both (F) and (L) hold.
3) Let $x=1$ and show that (L) $\Longrightarrow$ (F).
Then by (L) $lim_{n\to\infty} \sign(p_n(1))$ exists. Thus, since the zeros
of consecutive orthogonal polynomials interlace, a zero counting argument
yields that
$$
\sup_{n\in\Bbb N} \{\text{\rm number of } t \ge 1 : p_n(t)=0 \} <
\infty .
$$
It is well known [for instance, it follows from the convergence of the
Gauss-Jacobi quadrature process] that for every $y \in \supp(\alpha) \cap
[x,\infty)$ and for every neighborhood $V_y$ of $y$ there is $n_1$ such
that each $p_n$ has a zero in $V_y$ for $n \ge n_1$. Hence $\supp(\alpha)
\cap [x,\infty)$ is finite so that (F) holds.
4) Let $x=1$ and show that (F) $\Longrightarrow$ (L).
It is well known that if $I$ is an interval and $\alpha(I)=0$ then for
every $n$ the polynomial $p_n$ has at most one zero in $I$. Thus by (F)
$$
\sup_{n\in\Bbb N} \{\text{\rm number of } t \ge 1 : p_n(t)=0 \} <
\infty ,
$$
and, since the zeros of consecutive orthogonal polynomials interlace,
$$ \sign(p_n(1)) = const, \qquad n \ge n_2 . \tag S $$
Thus, by the recurrence formula,
$$
p_{n-1}(1) = O(|p_n(1)|)
\qquad \text{\rm and} \qquad
p_{n+1}(1) = O(|p_n(1)|) .
\tag O
$$
Fix $m\in\Bbb N$. By Theorem 3.1.13 in [N, p.~13] [applied with $k=n$ and
$n=n-m$] and by the recurrence formula,
$$ p_{n-m} = U_m p_n - U_{m-1} p_{n+1} + o(|p_n| + |p_{n+1}|) $$
for $n>m$. By Theorem 3.1.1 in [N, p.~8] [applied with $k=n+1$ and
$n=n+m$] and by the recurrence formula,
$$ p_{n+m} = U_{m-1} p_{n+1} - U_{m-2} p_n + o(|p_n| + |p_{n+1}|) $$
for $n\in\Bbb N$. Setting $x=1$ in the last the formulas and using (O) we
obtain
$$ p_{n-m}(1) = (m+1) p_n(1) - m p_{n+1}(1) + o(|p_n(1)|) $$
and
$$ p_{n+m}(1) = m p_{n+1}(1) - (m-1) p_n(1) + o(|p_n(1)|) $$
for $n>m$. Therefore, by (S),
$$ O < \frac {m+1}m - \frac {p_{n+1}(1)} {p_n(1)} + o(1) $$
and
$$ 0 < \frac {p_{n+1}(1)} {p_n(1)} - \frac {m-1}m + o(1) $$
for $n \ge n_3$. Since $m\in\Bbb N$ is arbitrary, it follows that
$\lim_{n\to\infty} \frac{p_{n+1}(1)}{p_n(1)}$ exists and the limit is
equal to $1$.
\qed
PROOF OF THE PARTIAL GENERALIZATION OF THE THEOREM. This is very similar
to parts 2), 3), and 4) in the PROOF OF THE THEOREM except that a Geronimo
-- Van Assche version of Poincar\'e's Theorem is used. Details will be
given elsewhere.
REFERENCES.
[D] Thomas Dehn, A shortcut to asymptotics for orthogonal polynomials.
Proceedings of the Fifth International Congress on Computational and
Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. {\bf 50}
(1994), no. 1-3, 207--219. MR 95h:41054
[N] Paul Nevai, ``Orthogonal Polynomials'', Memoirs Amer. Math. Soc. {\bf
213} (1979), 1--185. MR 80k:42025
\enddocument
Topic #18 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: MSC2000 classification scheme
In OP-SF NET 4.4, Topic #2 we gave suggestions for the revision of the
Mathematics Subject Classification (see
http://turing.wins.uva.nl/~thk/opsfnet/4.4 )
Now there is a draft version of MSC2000
(the 2000 Mathematics Subject Classification), see
http://www.ams.org/mathweb/msc2000.html
The final version will be presented at the International Congress of
Mathematicians in Berlin on August 24, 1998.
It turns out that all our proposals about category 33 have been
incorporated in the draft version, and also our proposals about a new
number 42C40 (Wavelets) and about 65D20. 68Q40 (Symbolic Computation) has
moved to 68W30, but it does not have a link to the new 33F10 on Symbolic
Computation. Our other suggestions (about 34, 40 and 42) have not been
incorporated.
Tom Koornwinder
Topic #19 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Electronic Preprint Archives: Haubold's archive and the xxx
archives
Some six years ago the late Waleed Al-Salam in Edmonton founded an
electronic preprint archive on Orthogonal Polynomials and Special
Functions. This was continued by Hans Haubold in Vienna. Initially, the
archive could only be approached by anonymous ftp. Later, downloading by
ftp became integrated in web browsers. Approaching the archive via the web
was further facilitated when Hans Haubold built a web front end for his
archive. Formally, this archive is not an activity of the SIAM Activity
Group on Orthogonal Polynomials and Special Functions (SIAG OP-SF), and
the manager of the archive is completely autonomous. In practice, the
Activity Group has always supported the archive by announcing new
submissions in OP-SF NET, and by giving advice to the manager of the
archive.
Originally, many preprints were submitted to the archive. Between 1 August
1995 and 23 May 1998, 55 entries were submitted to the opsf-ftpsite. At
present the archive has 153 listings of full papers. However, the number
of entries per year is declining, and comprises only a small part of all
preprints being produced in the field of Orthogonal Polynomials and
Special Functions. One possible reason for this decline is that many
researchers now have the possibility to make their preprints available on
the web via their home page. Because of this, the possibility has been
created to post just an abstract of a preprint at Haubold's archive, while
giving a link to where the actual paper resides on the Internet. This
facility has been used for only 7 abstracts until now.
P. Ginsparg, a physicist in Los Alamos, started an electronic preprint
archive on high energy physics in 1991. This has been an enormous success,
and it branched into many subdivisions. All important papers in the field
are posted in these so-called xxx archives. There is a standard interface,
and handling is completely automatic. Some branches of mathematics have
imitated this model successfully, notably Algebraic Geometry (abbreviated
AG, 1449 listings) and Quantum Algebra (abbreviated QA, 1373 listings).
Recently, many new archives for subfields of mathematics have been started
as part of these xxx archives. Together they should cover all of
mathematics. All archives share the uniform interface, the automatic
handling and, very important, the possibility of cross-linking.
Our field of Orthogonal Polynomials and Special Functions is primarily
covered by the archive Classical Analysis (CA). Several other archives
also receive some submissions in the area of OP&SF (which may be
cross-linked to CA). In particular Quantum Algebra (QA), Combinatorics
(CO) and solv-int (outside math xxx) get some submissions related to our
area. At present, CO has 117 listings and CA has 19 listings.
The SIAG OP-SF has always supported Al-Salam's and Haubold's preprint
archive for mainly two reasons:
- it is a useful facility for researchers in our field to make their
preprints more widely available.
- recent contributions to our field become easily and quickly visible and
accessible by the archive.
As already written above, the first argument is becoming less important
because of technical developments (but still plays a role for some working
outside the western world). The second argument is still important, but it
depends on the willingness of the majority of researchers in the field to
submit their papers or abstracts to the archive.
How things will develop in future, can be influenced only very little by
the SIAG OP-SF. The success of a preprint archive is primarily determined
by whether a critical number of leading researchers in the field decides
to post their preprints to the archive (which has been the case for
Algebraic Geometry and for Quantum Algebra).
On behalf of our Activity Group Charles Dunkl has contacted Greg
Kuperberg, on the mathematics advisory board of the xxx e-print archive.
Charles suggested to him a new subcategory SF at xxx for Special Functions
and Orthogonal Polynomials. However, right now the advisory board does
not want to add further subdivisions, it is strongly suggested we become
part of Classical Analysis. To this we have agreed. From his part, Greg
Kuperberg has changed the list of keywords for CA from
Harmonic analysis, approximations, series, expansions, asymptotics,
classical transforms, special functions, integro-differential equations,
differential relations, analysis of ODE's, calculus of variations.
into:
Special functions, orthogonal polynomials, harmonic analysis, ODE's,
differential relations, calculus of variations, approximations,
expansions, asymptotics.
The xxx archive is very interested in absorbing all the papers in the
present op-sf site - for old papers they will accept ps or dvi files
(new submissions must be in TeX); as Charles understands this, each paper
would only need an abstract and the month of submission. Eventually the
advisory board appoints a moderator for the category, to watch over the
subject matter of papers called CA; someone from our group might be
appropriate.
We suggest that authors in the field of OP & SF post their preprints in
future to the subcategory Classical Analysis (CA) of the xxx archives
(with possible cross-linking to one or more other subcategories), or to
another, more suitable subcategory while cross-linking to CA.
Here are some of the relevant addresses and URL's:
Haubold's archive:
ftp://unvie6.un.or.at/siam/opsf_new/00index.html
the ftp address for submissions to Haubold's archive:
unvie6.un.or.at, directory siam/submissions
the xxx mathematics archive, maintained at Los Alamos:
http://xxx.lanl.gov/archive/math
the UC Davis front end for the xxx mathematics archive:
http://front.math.ucdavis.edu/
a detailed list of categories within the xxx mathematics archive:
http://front.math.ucdavis.edu/categories.html
Tom H. Koornwinder
Topic #20 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: OP-SF NET editors
Subject: Classical Analysis preprints in xxx archive
The following preprints in the field of orthogonal polynomials and
special functions were recently posted to one of the
subcategories of the xxx archives. See:
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
solv-int/9805011
Andrei A. Kapaev.
Connection formulae for degenerated asymptotic solutions of the fourth
Painleve equation
math.AG/9806056 (CA)
B. Dubrovin, M. Mazzocco.
Monodromy of certain Painleve VI transcendents and reflection groups
math.CO/9806038
Shalosh B. Ekhad, Doron Zeilberger.
Curing the Andrews syndrom
cond-mat/9806095 (QA)
Yusuke Kato, Takashi Yamamoto.
Jack polynomials with prescribed symmetry and hole propagator of spin
Calogero-Sutherland model
math.QA/9806097
Ivan Cherednik.
>From Double Hecke algebra to analysis
math.QA/9806123
Mathijs S. Dijkhuizen, Jasper V. Stokman.
Some limit transitions between BC type orthogonal polynomials interpreted
on quantum complex Grassmannians
math.QA/9806151 (CO)
Jonathan Beck, Igor Frenkel, Naihuan Jing.
Canonical Basis and Macdonald Polynomials
Topic #21 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: Hans Haubold
Subject: Preprint archive for papers in Orthogonal Polynomials and Special
Functions
Between 24 May and 16 June 1998, the following papers were deposited in
the "siam/submissions" directory at
ftp://unvie6.un.or.at/siam/opsf_new/00index.html
G. Gasper: 6th month update of Errata for the book: Basic Hypergeometric
Series, by George Gasper and Mizan Rahman, Encyclopedia of Mathematics and
its Applications, Vol. 35, Cambridge University Press, Cambridge - New
York, 1990, xx+287 pp., ISBN 0-521-35049-2.
(see siam/submissions/gasper4.tex)
M. Saigo, A.A. Kilbas, and H. Takushima, On the multidimensional
pyramidal fractional integrals and derivatives
R.K. Raina, H.M. Srivastava, A.A. Kilbas, and M. Saigo,
Solvability of some Abel-type integral equations involving the
Gauss hypergeometric function as kernels in the spaces of
summable functions
Topic #22 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Changes of Address, WWW Pages, etc.
Effective October 1998, Renato Alvarez-Nodarse will be at:
Departamento de Analisis Matematico
Universidad de Sevilla
c/ Tarfia s/n
E-41012 Sevilla, Spain
fax: +34-95-455-7972
e-mail: renato@gandalf.ugr.es)
Here are some additions to our list of Individual Web Pages:
Sergei Suslov
http://www.public.asu.edu/~sergei/
Philippe Flajolet
http://pauillac.inria.fr/algo/flajolet/
Bruno Salvy
http://pauillac.inria.fr/algo/salvy/
Frederic Chyzak
http://pauillac.inria.fr/algo/chyzak/
Topic #23 ------------- OP-SF NET 5.4 ------------ July 15, 1998
~~~~~~~~~~~~~
From: OP-SF NET Editors ,
Subject: Subscribing to OP-SF NET
There are two ways to subscribe to OP-SF NET:
1. Send a message to
poly-request@siam.org
with your name and email address in the body of the message. If
everything works well, you will be put on the mailing list of
OP-SF NET which is maintained by SIAM.
2. Send a message to
majordomo@wins.uva.nl
and put in the body of the message only the words:
subscribe opsfnet
This is handled by an automatic list server. You will receive a
confirmation, with a list of further commands. You will be put on the
opsfnet mailing list of this list server. A new issue of OP-SF NET will be
mailed to people on this list immediately after the mailing by SIAM to the
people on the list maintained by SIAM.
Topic #24 ------------- OP-SF NET 5.4 ------------- July 15, 1998
~~~~~~~~~~~~~
From: OP-SF NET Editors ,
Subject: Obtaining back issues of OP-SF NET and submitting contributions
to OP-SF NET and Newsletter
Back issues of OP-SF NET can be obtained from
ftp: ftp.wins.uva.nl, in directory
pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir
or WWW: http://turing.wins.uva.nl/~thk/opsfnet/
or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
Contributions to the OP-SF NET 5.5 should reach the email address
poly@siam.org before September 1, 1998.
The Activity Group also sponsors a (printed) Newsletter edited by Wolfram
Koepf, soon to be replaced by Renato Alvarez-Nodarse and Rafael Yanez (see
OP-SF Net 5.2, Topic #1). Deadline for submissions to be included in the
October 1998 issue is September 15, 1998 and for the February 1999 issue
it is January 15, 1999.
Please send your Newsletter contributions directly to the old or
new Editors:
Wolfram Koepf
Fachbereich IMN
HTWK Leipzig
Gustav-Freytag-Str. 42 A
D-04277 Leipzig
phone: +49-341-307 64 95
fax: +49-341-301 27 22
e-mail: koepf@imn.htwk-leipzig.de
koepf@zib.de
Renato Alvarez-Nodarse
Departamento de Matematicas
Escuela Politecnica Superior
Universidad Carlos III, Butarque 15
E-28911 Leganes, Madrid, Spain
phone: +34-1-624-94-70
fax: +34-1-624-94-30
e-mail: nodar@math.uc3m.es
(Effective October 1998, Renato's Address will be:
Departamento de Analisis Matematico
Universidad de Sevilla
c/ Tarfia s/n
E-41012 Sevilla, Spain
fax: +34-95-455-7972
e-mail: renato@gandalf.ugr.es)
Rafael J. Yanez
Departamento de Matematica Aplicada
Universidad de Granada
E-18071 Granada, Spain
phone: +34-58-242941
fax: +34-58-242862
e-mail: ryanez@ugr.es
preferably by email, and in latex format. Other formats are also
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