OP-SF net Volume 7 #6



From:	mailer@siam.org
Sent:	Wednesday, November 15, 2000 2:22 PM
Subject:	OP-SF net Volume 7 #6





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                                             November 15, 2000

       O P - S F   N E T                    Volume 7, Number 6
       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       Editor:
       Martin Muldoon                       muldoon@yorku.ca

       The Electronic News Net of the SIAM Activity Group
       on Orthogonal Polynomials and Special Functions

               Please send contributions to:     poly@siam.org
               Subscribe by mailing to:  poly-request@siam.org
                                 or to:  listproc@nist.gov

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Today's Topics:
     1. Amsterdam Special Functions conference postponed to 2003
     2. Minsk International Conference on Analytic Methods of Analysis and
                  Differential Equations
     3. St. Petersburg Summer School in Asymptotic Combinatorics
     4. Report on Laredo Summer School
     5. Proceeding of Hong Kong Workshop
     6. New book on Fourier Series in Orthogonal Polynomials
     7. New book on elliptic polynomials
     8. Krawtchouk Polynomials Home Page
     9. Reviews of Askey-Andrews-Roy "Special Functions"
    10. SIAM Student Travel Awards
    11. Call for Nominations: The Ralph E. Kleinman Prize
    12. Call for Nominations: Wilkinson Prize
    13. Call for Nominations: Dahlquist Prize
    14. Call for Nominations: W.T. and Idalia Reid Prize
    15. OP-SF preprints in xxx archive
    16. About the Activity Group
    17. Submitting contributions to OP-SF NET and Newsletter


Calendar of Events:

2000
November 27 - December 1: 4th International Interdisciplinary
               meeting on "Symmetries and Integrability of
               Difference Equations", Tokyo, Japan.                7.4 #3

2001
January 8-12: Workshop "Conjectures, Recent Results and Open
      Problems Related to the Macdonald Polynomials", Newton
      Institute, Cambridge, UK                                     7.5 #2
January 9-14:  Workshop on Quasiclassical and Quantum Structures,
               Fields Institute, Toronto, Canada                   7.4 #4
February 15-19: International Conference on Analytic Methods of
         Analysis and Differential Equations, Minsk Belarus        7.6 #2
April 17-20: Workshop "Applications of the Macdonald Polynomials",
            Newton Institute, Cambridge, UK                        7.5 #2
June 18-22: Symposium on Orthogonal Polynomials, Special Functions and
               Applications, Rome, Italy                           7.3 #2
June 25 - July 6: Workshop "The Macdonald Polynomials",
            Newton Institute, Cambridge, UK                        7.5 #2
July 2-12: Summer School on Applied Analysis, Hong Kong            7.5 #3
July 9-13: SIAM Annual Meeting, San Diego, California, USA
             See: http://www.siam.org/meetings/an01/
July 9-22: Summer School in Asymptotic Combinatorics,
              St. Petersburg, Russia                               7.6 #3
August 6-10: Analytic theory of continued fractions, orthogonal
               functions and related topics, Grand Junction,
               Colorado, USA                                       7.4 #5
August 20-24: 3rd International meeting on Approximation
                 Theory, Dortmund, Germany                         7.4 #6
October 1-5: "Numerical Algorithms", Conference in Honor of Claude
                  Brezinski, Marrakesh, Morocco                    7.3 #3

2002

July 22 - August 2: IMA Summer Program "Special Functions in the
              Digital Age" Minneapolis, Minnesota, USA
August 5-15: "Foundations of Computational Mathematics" Minneapolis,
                 Minnesota, USA
       See: http://www.damtp.cam.ac.uk/user/na/FoCM/Conferences.html


Future plans:

* There are plans to organize summer schools on "Orthogonal Polynomials and
Special Functions" in Europe during the coming three years:

   -  2001 (probably September): in Germany (contact person: Rupert Lasser
       <lasser@gsf.de>)

   -  2002 : in the Netherlands or Belgium (contact person: Erik Koelink
      <koelink@twi.tudelft.nl>).

   -  2003 (time undecided): in Portugal (contact person: Amilcar
      Branquinho).

The coordinator of the three summer schools is Erik Koelink
(koelink@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.



Topic #1  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: Tom Koornwinder <thk@science.uva.nl>
Subject: Amsterdam Special Functions conference postponed to 2003

As mentioned in OP-SF NET 6.5, Topic #7, the next meeting in the series
Fields-Toronto (1995) - CRM-Montreal (1996) - Mount Holyoke (1998) - Hong Kong
(1999) - Arizona (2000) was expected to be held in Amsterdam in 2002, to be
organized by Nico Temme, Erik Koelink and me. Howver, some weeks ago the
organizers became aware of the IMA 2002 Summer Program "Special Functions in the
Digital Age" to be held from July 22 - August 2, 2002 at IMA, Minneapolis, MN,
USA with Willard Miller chairing and Dan Lozier serving on the organizing
committee. The themes of this meeting will have much overlap with those of our
tentative meeting, while plans for the IMA meeting have already progressed much
more. Moreover, this meeting will be followed by a Foundations of Computational
Mathematics meeting at the IMA, August 5-15, 2002 (see
http://www.damtp.cam.ac.uk/user/na/FoCM/Conferences.html). A session on special
functions of considerable size is planned during this meeting. Therefore we have
decided to postpone the Amsterdam conference to the summer of 2003.

A Summer School on "Orthogonal Polynomials and Special Functions" was planned
during the week before or after the SF2002 conference in Amsterdam, to be held in
the Netherlands and Belgium. This School will definitely take place in 2002, as
the main organizer Erik Koelink will announce separately.



Topic #2  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: Sergei V. Rogosin <rogosin@mmf.bsu.unibel.by>
Subject: Minsk International Conference on Analytic Methods of Analysis and
                  Differential Equations

First Announcement

The Belarusian State University and the Institute of Mathematics of the
Belarusian National Academy of Sciences together with Moscow State University
organize the second International Conference "Analytic Methods of Analysis and
Differential Equations" (AMADE-2001) on February 15-19, 2001, in Minsk, Belarus.
The arrival and departure days are February 14 and 20.

Section titles:
1. Integral Transforms and Special Functions
2. Differential Equations and Applications
3. Integral, Difference, Functional Equations and Fractional Calculus
4. Real and Complex Analysis \vspace{2mm}

A special session devoted to the memory of Academician F.D.Gakhov (1906 - 1980)
will be held. The length of plenary invited lectures is 45 min, reports - 20 min
and short communications - 10 min. The publication of the abstract is planned.

Organizing Committee
Chairmen: Academician I.V. Gaishun (Belarus), Academician V.A. Il'in
(Russia) and Rector of Belarusian State University A.V. Kozulin
Vice-Chairman: A.A. Kilbas (Belarus)
Secretaries: M.V. Dubatovskaya (Belarus), S.V. Rogosin (Belarus)
Members: H. Begehr (Germany), H.-J. Glaeske (Germany), V.V. Gorokhovik (Belarus),
N.A. Izobov (Belarus), N.K. Karapetyants (Russia), A. Kufner (Czech), M. Lanza de
Cristoforis (Italy), P.A. Mandrik (Belarus), V.V. Mityushev (Poland), E.I.
Moiseev (Russia), M. Saigo (Japan), S.G. Samko (Portugal), A.A. Sen'ko (Belarus),
N.I. Yurchuk (Belarus)

Scientific Advisory Committee
Chairman: V.I. Korzyuk (Belarus)
Members: L.A. Aksent'ev (Russia), V.I. Burenkov (Great Britain), P. Butzer
(Germany), R. Gorenflo (Germany), V.I. Gromak (Belarus), V.A. Kakichev (Russia),
V.S. Kiryakova (Bulgaria), G.S. Litvinchuk (Portugal), O.I. Marichev (USA), S.A.
Minyuk (Belarus), Yu.V. Obnosov (Russia), Ya.V. Radyno (Belarus), V.N. Rusak
(Belarus), S. Rutkauskas (Lithuania), H.M. Srivastava (Canada), J.J. Trujillo
(Spain), M.A. Sheshko (Poland), N.A. Virchenko (Ukraine), L.A. Yanovich
(Belarus), P.P. Zabreiko (Belarus), E.I. Zverovich (Belarus).

Application form (to be sent up to October 30th, 2000)
Name:
Family name:
Nationality:
Affiliation:
Address:
e-mail:
Title of talk and section:

The Second Announcement will be sent in October, 2000.

Our address:
Belarus, 220050 Minsk-50, Fr.Skaryny Ave 4,
Belarusian State University,
Department of Math and Mech,
AMADE-2001
e-mail: amade99@mmf.bsu.unibel.by



Topic #3  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Summer School in Asymptotic Combinatorics

[From the web site: http://www.pdmi.ras.ru/EIMI/2001/emschool/]

                   European Summer School in Mathematics:
                       Asymptotic combinatorics with
                    applications to mathematical physics

                              July 9-22, 2001

                         Saint-Petersburg, Russia

Organizers:
St.Petersburg Department of Steklov Mathematical Institute of Russian Academy of
Science (POMI RAN)
International Euler Mathematical Institute (EIMI)
European Mathematical Society (EMS)

Short description: The summer school aims to observe the recent progress in the
asymptotic theory of Young tableaux and random matrices from the point of view of
combinatorics, representation theory and theory of integrable systems. The
systematic courses on the subjects and current investigations will be presented.

Scientific Committee:
    O.Bohigas (Paris, Univ. Paris-Sud)
    E.Bresin (Paris, ENS)
    P.Deift (US, Philadelphia)
    L.Faddeev (St.Petersburg)
    K.Johansson (Stockholm KTH)
    M.Kontsevich (IHES, Bures-sur-Yvette)
    V.Malyshev (INRIA, France)
    R.Stanley (US, MIT)
    A.Vershik (St.Petersburg, Chairman)

Organizing Committee:
 V.Kazakov (Paris, ENS)
 A.Lodkin (St.Petersburg)
 Yu.Neretin (Moscow, Independent Univ.)
 A.Okounkov (US, Berkeley)
 L.Pastur (Paris, Univ. Paris-7)

Secretaries:
    K.Kokhas' (St.Petersburg)
    E.Novikova (St.Petersburg)
    N.Tsilevich (St.Petersburg)

The main goals:
  1. To make known the recent progress in asymptotic representation theory and
      related asymptotic combinatorics and its applications to mathematical and
      statistical physics.
  2. To make appropriate courses on these topics for graduate students and
      mathematicians who have no knowledge on the problems.
  3. To organize simultaneous seminars and the conference on the topic.
  4. To publish the proceedings of the Summer School.
  5. To intensify contacts between specialists and first of all between young
      mathematicians from Russia and from the West.

Contact email: emschool@pdmi.ras.ru

Tentative list of the lecturers:
    Ph.Biane (France),
    E.Brezin (France),
    P.Deift (USA),
    V.Kazakov (France),
    R.Kenyon (USA),
    M.Kontsevich (France),
    K.Johanssen (Sweden),
    A.Lascoux (France),
    A.Okounkov (USA),
    G.Olshanski (Moscow),
    L.Pastur (Khar'kov),
    E.Rains (USA),
    R.Speicher (Germany),
    R.Stanley (USA),
    C.Tracy (USA),
    A.Vershik (St.Petersburg),
    H.Widom (USA).


Topic #4  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: Jasper V. Stokman <jstokman@wins.uva.nl> and Erik Koelink
<koelink@twi.tudelft.nl>
Subject: Report on Laredo Summer School

>From July 24th to 28th 2000, Renato Alvarez-Nodarse, Francisco Marcellan, Walter
Van Assche and Rafael Yanez organized the first SIAG OP-SF Summer School 2000 on
Orthogonal Polynomials and Special Functions in Laredo, Spain. The program
consisted of five courses of four hours each, together with two afternoons of
short presentations in which the participants could report on their research. In
total there were about 55 participants, of which the majority (about 34) came
from Spain.

The central theme of the courses was the theory of orthogonal polynomials. Each
course had its own characteristic approach to the subject. The combination of
courses gave a very nice impression of the various modern aspects and interests
in this broad research field. Antonio Duran gave a nice introductory course on
matrix orthogonal polynomials, in which he explained the extension of various
important properties of scalar orthogonal polynomials to the setting of matrix
orthogonal polynomials. Ken McLaughlin gave a very stimulating lecture series, in
which he explained the connections between Riemann-Hilbert problems and
asymptotics of orthogonal polynomials. Jurgen Prestin lectured on polynomial
wavelets, in which orthogonal polynomials are used to construct and study
wavelets in polynomial spaces. Erik Koelink gave a course on the spectral
analytic approach to the theory of special functions, emphasizing the nice
applications to indeterminate moment problems, as well as applications to special
functions associated with doubly infinite Jacobi matrices. Finally, Jasper
Stokman's course gave an introduction to the theory of multivariable orthogonal
polynomials, emphasizing both the connection with the theory of one-variable
orthogonal polynomials and the representation theory of affine Hecke algebras.

The courses of the two undersigned were accompanied by detailed lecture notes.
The sheets and the lecturer's personal notes for the courses of Antonio Duran and
Ken McLaughlin were handed out to the participants. More extensive notes of all
the courses will appear soon in a book to be published by Nova Science
Publishers.

The summer school was held in Laredo, a very pleasant village on the Atlantic
coast between Santander and Bilbao. The climate was amazingly moderate for the
time of the year, with daily temperatures around 22 degrees centigrade, and about
four hours sunshine each day: perfect for a summer-school! Hotel Cosmopol, where
the lecturers and most of the applicants stayed, was excellent.

The pleasant surroundings soon led to various off-schedule activities by the
participants, as well as the organizers and lecturers. To name a few: Francisco
Marcellan and Renato Alvarez-Nodarse organized a group who went jogging on the
beach daily. Your reporters joined the group at a certain point, despite the fact
that their ``running-days'' have been over for quite some time. The runs were
tough, but very pleasant, and soon we decided to keep on jogging back home, even
to participate in organized runs in Holland! But back in everyday reality, and
especially without the inspiring presence of Paco Marcellan, our good intentions
have disappeared into thin air.

The rumour reached us that some participants found a completely different kind of
off-schedule activity: bars and dancing-clubs stayed open throughout the night,
and it seemed that some participants enjoyed night-life until sun-rise...--in
contrast to the present writers, who regularly entered an almost completely
deserted bar with extremely loud music in the evening to play pool, but returned
to the hotel before the serious night activities started!

We enjoyed this well-organized summer school very much. The organizers did an
excellent job, which led to a pleasant atmosphere and a good and well-balanced
series of lectures. We sincerely hope that the participants also feel that the
summer school has been worthwhile, mathematically as well as socially! Let's hope
that the next OPSF summer school in Germany will be as successful!

Jasper V. Stokman and Erik Koelink.



Topic #5  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Proceeding of Hong Kong Workshop

The Proceedings of the "International Workshop on Special Functions -
Asymptotics, Harmonic Analysis and Mathematical Physics" held June 21-25, 1999 at
the City University of Hong Kong have been published by World Scientific at a
price of US$80.

City University has, on behalf of the conference organizing committee, purchased
copies which are being made available to the participants at a reduced price of
US$20.  A limited number of additional copies is available to others at this
price on a first-come first-served basis. Those wishing to take advantage of this
offer should send a check for US$20, made payable to "City University of Hong
Kong". The address is as follows:

Colette Lam
IWSF'99 Workshop Secretary
Liu Bie Ju Center for Mathematical Sciences
City University of Hong Kong
83 Tat Chee Avenue
Kowloon, Hong Kong

The table of contents of the IWSF'99 Proceedings has been placed on the
web <http://www.cityu.edu.hk/ma/conference/iwsf/index.html> and is
reproduced below.


TABLE OF CONTENTS

Integral Representations of Quasi Hypergeometric Functions     	         1
	K. Aomoto

Combinatorics of Crystals for Tensor and Spinor
Representations of Uq(Bn)						16
	T. H. Baker

On Infinitely Divisible Solutions to Indeterminate Moment Problems	31
	C. Berg

Generating Orthogonal Polynomials for Exponential Weights on
a Finite Interval							42
	R. C. Y. Chin and D. Ridzal

Spherical Multipliers and Spherical Multiplier Transformations		57
	H. Ding

Generating Functions Associated with Dihedral Groups			72
	C. F. Dunkl

Existence of Approximate Identities in Maximal Ideals
of Hypergroup-Algebras							88
	F. Filbir

Zeros of Jacobi Polynomials with Varying Non-Classical Parameters	98
A. Martínez-Finkelshtein, P. Martínez-González and R. Orive

Asymptotic Behavior of Eigenfunctions for the Hecke Algebra
on Homogeneous Trees							114
	P. Gérardin and K. F. Lai

Some Relations for Partitions into Four Squares				118
	M. D. Hirschhorn and J. A. Sellers

Algebraic Aspects of Quantum Calogero Models				125
	S. Kakei and Y. Kato

Special Functions and Perturbations of Black Holes			140
	E. G. Kalnins, W. Miller Jr., G. F. Torres Del Castillo
	and G. C. Williams

On a Nonlinear Recurrence Related to Nevai Polynomials			152
	D. Kaminski

Inversion Formulas Involving Orthogonal Polynomials and
Some of Their Applications						166
	R. Koekoek

Bochner-Krall Orthogonal Polynomials					181
	K. H. Kwon, G. J. Yoon and L. L. Littlejohn

Orthogonal Expansions for Lp- and C-Spaces				194
	R. Lasser and J. Obermaier

The DLMF Project: A New Initiative in Classical
Special Functions							207
	D. W. Lozier

Resurgence in Difference Equations, with an Application
to Legendre Functions							221
	F. W. J. Olver

On Exorcising Secular Terms						236
	R. E. O'Malley Jr.

New Asymptotic Formulas for the Riemann Zeta Function
on the Critical Line							247
	R. B. Paris

A q-Analogue of a Product Formula of Bailey and Related Results		262
	M. Rahman

The Brahmagupta Matrix and its Applications to Tiling			282
	R. Rangarajan and E. R. Suryanarayan

Elliptic Integrals of the First and Second Kind - Comparison of
Bulirsch's and Carlson's Algorithms for Numerical Calculation		293
	K.-D. Reinsch and W. Raab

Short-Time Estimates for Heat Kernels Associated
with Root Systems							309
	M. Rösler

Solitons and Coulomb Plasmas, Similarity Reductions and
Special Funstions							324
	V. P. Spiridonov

The Role of Hermite Polynomials in Asymptotic Analysis			339
	N. M. Temme and J. L. López

Statistics of Graph Spectra for Some Finite Matrix Groups:
Finite Quantum Chaos							351
A. Terras

Convolution Semigroups and Calderón's Formula for
Compact K-Variable Continuous Polynomial Hypergroups			375
	K. Trimčche

Rodrigues Formulas for Nonsymmeyric Multivariable Polynomials
Associated with Quantum Integrable Systems of
Calogero-Sutherland Type						394
	H. Ujino and A. Nishino

Orthogonal Polynomials and Their Asymptotic Behavior			409
	R. Wong

A Product Formula for Jacobi Polynomials				423
	Y. Xu

Schur Functions and Two Realizations of the Basic A1(1)-Module		431
	H.-F. Yamada



Topic #6  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: Tom Koornwinder <thk@science.uva.nl>
Subject: New book on Fourier Series in Orthogonal Polynomials

FOURIER SERIES IN ORTHOGONAL POLYNOMIALS
by  Boris Osilenker (Moscow State Civil Engineering University)
World Scientific, 1999

>From the web site:
http://www.wspc.com.sg/books/mathematics/4039.htm

This book presents a systematic course on general orthogonal polynomials and
Fourier series in orthogonal polynomials. It consists of six chapters. Chapter 1
deals in essence with standard results from the university course on the function
theory of a real variable and on functional analysis. Chapter 2 contains the
classical results about the orthogonal polynomials (some properties, classical
Jacobi polynomials and the criteria of boundedness).

The main subject of the book is Fourier series in general orthogonal polynomials.
Chapters 3 and 4 are devoted to some results in this topic (classical results
about convergence and summability of Fourier series in L2m; summability almost
everywhere by the Cesaro means and the Poisson-Abel method for Fourier polynomial
series are the subject of Chapters 4 and 5).

The last chapter contains some estimates regarding the generalized shift operator
and the generalized product formula, associated with general orthogonal
polynomials.

The starting point of the technique in Chapters 4 and 5 is the representations of
bilinear and trilinear forms obtained by the author. The results obtained in
these two chapters are new ones.

Chapters 2 and 3 (and part of Chapter 1) will be useful to postgraduate students,
and one can choose them for treatment.

This book is intended for researchers (mathematicians, mechanicians and
physicists) whose work involves function theory, functional analysis, harmonic
analysis and approximation theory.

Contents:
        Orthogonal Polynomials and Their Properties
        Convergence and Summability of Fourier Series in L^2_\mu
        Fourier Orthogonal Series in L^r_\mu (1 < r < \infty) and C
        Fourier Polynomial Series in L^1_\mu. Analogs of Fatou Theorems
        The Representations of the Trilinear Kernels. Generalized
              Translation Operator in Orthogonal Polynomials

Readership: Researchers in mathematics, mechanics and physics involved in
function theory, functional analysis, harmonic analysis and approximation
theory.

296pp    Pub. date: Apr 1999
ISBN 981-02-3787-1   US$55 / Ł34



Topic #7  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: New book on elliptic polynomials

The following information is from the publisher's web site:
http://www.crcpress.com

Publisher: Chapman & Hall/CRC
Title: Elliptic Polynomials
Authors: Lomont; J S University of Arizona, USA
         Brillhart; John University of Arizona, USA
ISBN/ISSN: 1584882107
Price: $84.95
No. of Pages: 320
Publication date: 8/31/2000

Description
A remarkable interplay exists between the fields of elliptic functions and
orthogonal polynomials. In the first monograph to explore their connections,
Elliptic Polynomials combines these two areas of study, leading to an interesting
development of some basic aspects of each. It presents new material about various
classes of polynomials and about the odd Jacobi elliptic functions and their
inverses.
The term elliptic polynomials refers to the polynomials generated by odd elliptic
integrals and elliptic functions. In studying these, the authors consider such
things as orthogonality and the construction of weight functions and measures,
finding structure constants and interesting inequalities, and deriving useful
formulas and evaluations.
Although some of the material may be familiar, it establishes a new mathematical
field that intersects with classical subjects at many points. Its wealth of
information on important properties of polynomials and clear, accessible
presentation make Elliptic Polynomials valuable to those in real and complex
analysis, number theory, and combinatorics, and will undoubtedly generate further
research.



Topic #8  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: Vadim Zelenkov <zelenkov@isir.minsk.by>
Subject: Krawtchouk Polynomials Home Page

I would like to invite you to visit the new Krawtchouk Polynomials web site:
http://zelenkov.isir.minsk.by/orthpol/

If you have difficulty accessing this location, use the mirror site at
http://www.geocities.com/orthpol/

The old address will automatically redirect you to the new location.

I have added some mathematical search facilities. In the near future, I intend to
add some pages in Russian and to update the bibliography.

Vadim Zelenkov
http://zelenkov.isir.minsk.by/



Topic #9  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                         ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Reviews of Askey-Andrews-Roy "Special Functions"

In OP-SF NET 7.1, Topic #13, we featured a review by Wolfram Koepf of the
importand new book "Special Functions" by George E. Andrews, Richard Askey and
Ranjan Roy (Encyclopedia of Mathematics and its Applications Vol. 71. Cambridge
University Press, Cambridge, 1999).

The purpose of this notice is to draw attention to the interesting and lengthy
review by Jet Wimp in Bull. Amer. Math. Soc. 37 (2000), no. 4, pp. 499-510.
It can be read or downloaded from the site:
http://www.ams.org/bull/2000-37-04/

Another enthusiastic review, by Bruce Berndt, appeared in Mathematical
Intelligencer 22 (2000), no, 1, pp. 74-76.

Cambridge University Press plans to issue a paperback edition of the book
in the near future.



Topic #10  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                          ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: SIAM Student Travel Awards

              SIAM Student Travel Awards:  2001 Conferences

     SIAM will make several $300 awards to support student travel to its
     upcoming 2001 conferences:

          Twelfth ACM-SIAM Symposium on Discrete Algorithms,
          Washington, DC,  January 7-9

          Tenth SIAM Conference on Parallel Processing for Scientific
          Computing, Portsmouth, Virginia,  March 12-14

          First International SIAM Conference on Data Mining,
          Chicago, Illinois,  April 5-7

          Sixth SIAM Conference on Applications of Dynamical Systems,
          Snowbird, Utah,  May 20-24

          Sixth SIAM Conference on Mathematical and Computational
          Issues in the Geosciences, Boulder, Colorado, June 11-14

          2001 SIAM Annual Meeting,
          San Diego, California,  July 9-13

          Fifth SIAM Conference on Control and Its Applications,
          San Diego, California,  July 12-14

          Fourth SIAM Conference on Linear Algebra in Signals,
          Systems, and Control, Boston, Massachusetts,  Aug. 13-16

          First SIAM Conference on the Life Sciences,
          Boston, Massachusetts,  September 24-26

          First SIAM Conference on the Imaging Science,
          Boston, Massachusetts,  September 26-28

          Seventh SIAM Conference on Geometric Design,
          Sacramento, California,  November 5-8

     The awards will be made from the SIAM Student Travel Fund, created in
     1991 and maintained through book royalties donated by some SIAM
     authors.  At the beginning of each year, a committee determines the
     number of travel awards to be given to support student travel to each
     SIAM meeting or conference.

     Any full-time student in good standing who must travel more than 100
     miles to the meeting is eligible to receive an award plus gratis
     meeting registration.  Top consideration is given to students
     presenting papers at the meeting, with second priority to students who
     are co-authors of papers to be presented.

     An application for a travel award must include:

        1) A letter from the student describing his/her academic standing
           and interests, his/her expected graduation date and degree,
           advisor's name, and, if available, a URL for a working web page.

        2) A one-page vita that includes the student's research interests,
           projects, and published papers.

        3) A detailed letter from the student's faculty advisor indicating
           why the student deserves to receive a travel award and any
           special circumstances.

        4) If applicable, the title(s) of the paper(s) to be presented
           (co-authored) by the student at the meeting.

     COMPLETE APPLICATIONS MUST BE RECEIVED AT SIAM NO LATER THAN TWO
     MONTHS BEFORE THE FIRST DAY OF THE MEETING FOR WHICH SUPPORT IS
     REQUESTED.

     Applications should be sent to SIAM, Attention: SIAM Student Travel
     Awards, 3600 University City Science Center, Philadelphia, PA
     19104-2588.  Students may also apply by e-mail to bogardo@siam.org or
     by fax to 215-386-7999.

     A selection committee will review all complete applications, and
     winners will be notified FIVE WEEKS before the first day of the
     meeting.  Checks for the awards will be given to the awardees when
     they pick up their registration packets at the meeting.



Topic #11  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                          ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: Call for Nominations: The Ralph E. Kleinman Prize

                             Call for Nominations
                         The Ralph E. Kleinman Prize

     SIAM will present the Ralph E. Kleinman Prize at the SIAM Annual
     Meeting in San Diego, July 9-13, 2001.  The award honors the late
     Ralph E. Kleinman, a long-time SIAM member and UNIDEL Professor of
     Mathematical Sciences at the University of Delaware and Director of
     the Center for the Mathematics of Waves.

     Eligibility
     -----------
     The prize, established in 1998, is awarded to an individual for
     outstanding research or other contributions that bridge the gap
     between mathematics and applications.  Work that uses high-level
     mathematics and/or invents new mathematical tools to solve applied
     problems from engineering, science, and technology is particularly
     appropriate.  The prize may be awarded for a single notable
     achievement or for a collection of such achievements.  Any member of
     the scientific community who meets the general criteria for the prize
     is eligible to receive the prize.

     Description of the Award
     ------------------------
     The prize will consist of a hand-calligraphed, framed certificate and
     a cash award of $5,000 plus travel expenses to the meeting.

     Nominations
     -----------
     A letter of nomination, including a curriculum vita and description of
     the achievement(s) should be sent by February 15, 2001, to:

                Ralph E. Kleinman Prize Selection Committee
                Professor Michael S. Vogelius, Chair
                c/o A. G. Bogardo
                SIAM
                3600 University City Science Center
                Philadelphia, PA 19104-2688

     Supporting letters, or names of knowledgeable persons from whom such
     letters might be solicited, also are welcome.

     Selection Committee
     -------------------
     The members of the selection committee for the award are Michael S.
     Vogelius, Chair (Rutgers University); Douglas N. Arnold (The
     Pennsylvania State University); Robert V. Kohn (Courant Institute of
     Mathematical Sciences, New York University); Jean Claude Nedelec
     (Ecole Polytechnique, France); and Ivar Stakgold (University of
     Delaware).



Topic #12  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                          ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: Call for Nominations: Wilkinson Prize

                            Call for Nominations

                        The James H. Wilkinson Prize
               in Numerical Analysis and Scientific Computing

     SIAM will present the James H. Wilkinson Prize in Numerical Analysis
     and Scientific Computing at the SIAM Annual Meeting in San Diego,
     July 9-13, 2001.

     Eligibility
     -----------
     The prize, established in 1979, is awarded for research in, or other
     contributions to, numerical analysis and scientific computing during
     the six years preceding the award.  The purpose of the prize is to
     stimulate younger contributors and to help them in their careers.

     Previous Winners
     ----------------
                1982            Bjorn Engquist
                1986            Charles S. Peskin
                1989            Paul Van Dooren
                1993            James W. Demmel
                1997            Andrew M. Stuart

     Description of the Award
     ------------------------
     The prize will consist of a hand-calligraphed, framed certificate and
     a cash award of $1,000 plus travel expenses to the meeting.  The
     recipient is requested to present a lecture as part of the prize
     ceremony.

     Nominations
     -----------
     A letter of nomination should be sent by February 16, 2001, to:

                Wilkinson Prize Selection Committee
                Dr. Andrew M. Stuart, Chair
                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

     Selection Committee
     -------------------
     The members of the selection committee for the award are Andrew M.
     Stuart, Chair (University of Warwick, United Kingdom); Marsha J.
     Berger (Courant Institute of Mathematical Sciences, New York
     University); and Henk van der Vorst (Utrecht University, The
     Netherlands).



Topic #13  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                          ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: Call for Nominations: Dahlquist Prize

                           Call for Nominations

                        The Germund Dahlquist Prize

     The Dahlquist Prize
     -------------------
     SIAM will present The Germund Dahlquist Prize at the International
     Conference on Scientific Computation and Differential Equations
     (SciCADE 01), July 29-August 3, in Vancouver, British Columbia,
     Canada.  The award honors the contributions of Germund Dahlquist to
     numerical analysis and scientific computing.

     Eligibility
     -----------
     The prize, established in 1995, is awarded to a young scientist
     (normally less than 45) for original contributions to fields
     associated with Germund Dahlquist, especially the numerical solution
     of differential equations and numerical methods for scientific
     computing.

     Description of the Award
     ------------------------
     The award is to include a certificate containing the citation and a
     cash prize of $1,000 plus reasonable travel costs to SciCADE.  The
     recipient is expected to present a talk at the conference and
     encouraged to submit a paper to an appropriate SIAM publication.

     Nominations
     -----------
     A letter of nomination, including a description of the achievements,
     should be sent by February 16, 2001, to:

                Dahlquist Prize Selection Committee
                Dr. C. William Gear, Chair
                c/o A. G. Bogardo
                SIAM
                3600 University City Science Center
                Philadelphia, PA 19104-2688

     Supporting letters, or names of knowledgeable persons from whom such
     letters might be solicited, are also welcome.

     Selection Committee
     -------------------
     The members of the selection committee for the award are C. William
     Gear, Chair (President Emeritus, NEC Research Institute); Uri M.
     Ascher (University of British Columbia); John C. Butcher (University
     of Auckland); Ernst Hairer (University of Geneva); and Claes Johnsson
     (Chalmers University of Technology and Gothenburg University).



Topic #14  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                          ~~~~~~~~~~~~~

From: Allison Bogardo <bogardo@siam.org>
Subject: W.T. and Idalia Reid Prize


                             CALL FOR NOMINATIONS
                                     for
                         W. T. AND IDALIA REID PRIZE

     The Reid Prize
     --------------
     SIAM will present the W.T. and Idalia Reid Prize at the 2001 SIAM
     Annual Meeting in San Diego next July 9-13.  The award will be given for
     research in, or other contributions to, the broadly defined areas of
     differential equations and control theory.  The prize may be given
     either for a single notable achievement or for a collection of such
     achievements.

     Eligibility
     -----------
     The prize is awarded to any member of the scientific community who
     meets the general guidelines of the prize description above.

     Description of Award
     --------------------
     The award consists of an engraved medal and a $10,000 cash prize, plus
     travel expenses to attend the prize ceremony.

     Nominations
     -----------
     A letter of nomination, including a description of achievement(s)
     should be sent by February 15, 2001 to:

                Professor John A. Burns
                Chair, Reid Prize Selection Committee
                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

     Selection Committee
     -------------------
     Members of the selection committee are John A. Burns, Chair (Virginia
     Institute of Technology and State University); Ruth F. Curtain
     (University of Groningen); James G. Glimm (State University of New
     York at Stony Brook); John Guckenheimer (Cornell University); and
     Arthur J. Krener (University of California, Davis).



Topic #15  ------------   OP-SF NET 7.6  -------------   November 15, 2000
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: OP-SF preprints in xxx archive

The following preprints related to the field of orthogonal polynomials and
special functions were recently posted or cross-listed 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


Article math.CA/0011002
Title: Transmutation kernels for the little q-Jacobi function transform
Author: Erik Koelink, Hjalmar Rosengren
Categories: CA Classical Analysis (QA Quantum Algebra)
Math Subject Class: 33D15, 33D45, 47B36
Comments: 24 pages, AMS-TeX
From: Erik Koelink <koelink@twi.tudelft.nl>
Date: Wed, 1 Nov 2000 07:18:43 GMT (23kb)


Article math.CA/0010162
Title: A new A_n extension of Ramanujan's 1-psi-1 summation with applications to
multilateral A_n series
Authors: S. C. Milne (The Ohio State University), M. Schlosser (The Ohio State
University)
Categories: CA Classical Analysis (CO Combinatorics; QA Quantum Algebra)
Math Subject Class: 33D15 (Primary) 05A19, 33D67 (Secondary)
Comments: LaTeX2e, 26 pages, submitted to Rocky Mount. J. Math., spec. vol.,
conference proceedings of SF2000, Tempe, Arizona, May 29 - June 9, 2000
From: Michael Schlosser <mschloss@math.ohio-state.edu>
Date: Mon, 16 Oct 2000 21:18:25 GMT (13kb)


Article math.CA/0010161
Title: Elementary derivations of identities for bilateral basic hypergeometric
series
Author: M. Schlosser (The Ohio State University)
Categories: CA Classical Analysis (CO Combinatorics; QA Quantum Algebra)
Math Subject Class: 33D15
Comments: LaTeX2e, 35 pages, revised abstract and introduction
From: Michael Schlosser <mschloss@math.ohio-state.edu>
Version 2: Wed, 1 Nov 2000 21:56:30 GMT (25kb)


Article math.CA/0005095
Title: A generalization of Kummer's identity
Author: Raimundas Vidunas
Categories: CA Classical Analysis
Math Subject Class: 33C05, 33F10, 39A10
Comments: 13 pages; classical proofs simplified, possible transformations
reviewed; in the algoritmic part similar evaluations of other series added
From: Raimundas Vidunas <vidunas@wins.uva.nl>
Version 3: Tue, 31 Oct 2000 14:23:27 GMT (14kb)


Article math.CA/9909025
Title: A q-analogue of convolution on the line
Authors: G. Carnovale (Universita degli Studi di Roma,"Tor Vergata"), T. H.
Koornwinder (Universiteit van Amsterdam)
Categories: CA Classical Analysis (QA Quantum Algebra)
Math Subject Class: 33D80, 33D15, 42A85 (primary), 17B37 (secondary)
Report number: Report 99-12, Math. Preprint Series, Fac. WINS, Univ. of
Amsterdam
Comments: 31 pages; many small corrections; accepted by Methods and
Applications of Analysis
From: Tom H. Koornwinder <thk@wins.uva.nl>
Version 3: Mon, 23 Oct 2000 13:41:01 GMT (22kb)


Article math.CA/0007046
Title: A simple proof of Bailey's very-well-poised 6-psi-6 summation
Author: M. Schlosser (The Ohio State University)
Categories: CA Classical Analysis (CO Combinatorics; QA Quantum Algebra)
Math Subject Class: 33D15
Comments: LaTeX2e, 10 pages, submitted to Proc. AMS, revised version, proofs
of 1-psi-1 and 2-H-2 summations included
From: Michael Schlosser <mschloss@math.ohio-state.edu>
Version 2: Mon, 16 Oct 2000 06:57:00 GMT (10kb)


Article math-ph/0010003
Title: A deformation of Hermite polynomials
Author: M. Mekhfi
Categories: MP Mathematical Physics (CA Classical Analysis; FA Functional
Analysis)
Math Subject Class: 33C45;34A35
Comments: 16 pages, Latex
From: Mustapha MEKHFI <mekhfi@elbahia.cerist.dz>
Date: Mon, 2 Oct 2000 16:16:33 GMT (12kb)


Article math.QA/0010093
Title: Harmonic analysis on the SU(2) dynamical quantum group
Authors: Erik Koelink, Hjalmar Rosengren
Categories: QA Quantum Algebra (CA Classical Analysis)
Math Subject Class: 20G42, 33D45, 33D80
Comments: 51 pages
From: Hjalmar Rosengren <hjalmar@math.chalmers.se>
Date: Tue, 10 Oct 2000 11:55:41 GMT (46kb)


Article math.QA/0010170
Title: q-Bessel-Macdonald functions
Author: V.-B. K. Rogov
Categories: QA Quantum Algebra
Report number: ITEP-TH-56/00
Comments: 10 pages, Latex
From: olshanet <olshanet@heron.itep.ru>
Date: Tue, 17 Oct 2000 13:50:46 GMT (7kb)


Article math.CO/0010279
Title: Generalized Umemura polynomials
Author: Anatol N. Kirillov, Makoto Taneda
Categories: CO Combinatorics (QA Quantum Algebra)
Math Subject Class: 14D15;34M55
Comments: 10 pages
From: Anatol N. Kirillov <kirillov@crm.umontreal.ca>
Date: Sat, 28 Oct 2000 11:30:46 GMT (8kb)


Article math.AG/0010246
Title: Hilbert schemes, polygraphs, and the Macdonald positivity conjecture
Author: Mark Haiman
Categories: AG Algebraic Geometry (CO Combinatorics; QA Quantum Algebra)
Math Subject Class: 14C05 (primary), 05E05, 13H10, 14F05, 14M05 (secondary)
Comments: 56 pages. Submitted to Journal of the A.M.S. See also
http://math.ucsd.edu/~mhaiman
From: Mark Haiman <mhaiman@macaulay.ucsd.edu>
Date: Wed, 25 Oct 2000 23:20:05 GMT (66kb)


Article math.CO/0009171
Title: New Weighted Rogers-Ramanujan Partition Theorems and their Implications
Author: Krishnaswami Alladi, Alexander Berkovich
Categories: CO Combinatorics (NT Number Theory)
Math Subject Class: 11P83, 11P81, 05A19
Comments: 31 pages, 4 figures
From: Krishnaswami Alladi <alladi@math.ufl.edu>
Date: Mon, 18 Sep 2000 19:16:58 GMT (21kb)


nlin.SI/0010048:
    Title: Darboux transforms on Band Matrices, Weights and associated
    Polynomials
    Authors: Mark Adler, Pierre van Moerbeke
    Subj-class: Exactly Solvable and Integrable Systems


nlin.SI/0009002:
    Title: Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert
    problems
    Authors: Mark Adler, Pierre van Moerbeke
    Comments: 40 pages
    Subj-class: Exactly Solvable and Integrable Systems; Mathematical Physics;
    Classical Analysis
    Journal-ref: Comm. Math. Phys., 207, 589--620 (1999)



Topic #16   ------------   OP-SF NET 7.6  -------------   November 15, 2000
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: About the Activity Group

The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied.  The
Group also includes engineers and scientists, students as well as experts.
We have around 140 members scattered about in more than 20 countries.
Whatever your specialty might be, we welcome your participation in this
classical, and yet modern, topic.  Our WWW home page is:

  http://math.nist.gov/opsf/

This is a convenient point of entry to all the services provided by the
Group.  Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).

The Activity Group sponsors OP-SF NET, which is transmitted periodically
by SIAM.  It is provided as a free public service; membership in SIAM is
not required.  The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca).

To receive the OP-SF NET, send your name and email address to
poly-request@siam.org.

Back issues can be obtained at the WWW addresses:

  http://turing.wins.uva.nl/~thk/opsfnet
  http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
  http://math.nist.gov/opsfnet/archive

The NET provides fast turnaround compared to the printed Newsletter, also
sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and
Rafael Yanez.  It appears three times a year and is mailed by SIAM.  Back
issues are accessible at:

http://www.mathematik.uni-kassel.de/~koepf/siam.html

To receive the Newsletter, you must be a member of SIAM and of the
Activity Group.  SIAM has several categories of membership, including
low-cost categories for students and residents of developing countries.
For current information on SIAM and Activity Group membership, contact:

  Society for Industrial and Applied Mathematics
  3600 University City Science Center
  Philadelphia, PA 19104-2688 USA
  phone: +1-215-382-9800
  email: service@siam.org
   WWW : http://www.siam.org
         http://www.siam.org/membership/outreachmem.htm


Finally, the Activity Group operates an email discussion group, called
OP-SF Talk.  To subscribe, send the email message

  subscribe opsftalk Your Name

to listproc@nist.gov.  To contribute an item to the discussion, send
email to opsftalk@nist.gov.  The archive of all messages is accessible
at:

  http://math.nist.gov/opsftalk/archive



Topic #17   ------------   OP-SF NET 7.6  -------------   November 15, 2000
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
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 <muldoon@yorku.ca>.  Please note that submissions
to the Net are automatically considered for the Newsletter, and vice
versa, unless the contributor requests otherwise.

Contributions to the OP-SF NET 8.1 should be sent by January 1, 2001.

Please send your (printed) Newsletter contributions directly to the Editors:

Renato Alvarez-Nodarse
Departamento de Analisis Matematico
Universidad de Sevilla
Apdo. Postal 1160,
Sevilla E-41080 Spain
fax: +34-95-455-7972
e-mail: renato@gandalf.ugr.es
        ran@cica.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
acceptable and can be submitted by email, regular mail or fax.

The deadline for submissions to be included in the February 2001 issue is
January 15, 2000 and for the June 2001 issue it is May 15, 2001.


o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
   OP-SF NET is a forum of the SIAM Activity Group on
   Special Functions and Orthogonal Polynomials.
   We disseminate your contributions on anything of interest to the
   special functions and orthogonal polynomials community.  This
   includes announcements of conferences, forthcoming books, new
   software, electronic archives, research questions, job openings.
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   Send submissions to:              poly@siam.org
   Subscribe by mailing to:  poly-request@siam.org
                     or to:  listproc@nist.gov
   Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/
   WWW home page of this Activity Group:
            http://math.nist.gov/opsf/
   Information on joining SIAM
      and this activity group:  service@siam.org
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
       The elected Officers of the Activity Group (1999-2001) are:
               Daniel W. Lozier, Chair
               Walter Van Assche, Vice Chair
               Charles F. Dunkl, Secretary
               Francisco Marcellan, Program Director
       The appointed officers are:
               Renato Alvarez-Nodarse and Rafael J. Yanez,
                            Newsletter Editors
               Martin Muldoon, OP-SF NET editor
               Bonita Saunders, Webmaster
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