Volume 1, Number 2
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- February 3, 1994 -
- O P - S F N E T Volume 1, Number 2 -
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- Tom H. Koornwinder, Editor thk@fwi.uva.nl -
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- The Electronic News Net of the SIAM Activity Group -
- on Orthogonal Polynomials and Special Functions -
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- Please send contributions to: poly@siam.org -
- & address changes to: poly-request@siam.org -
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Today's Topics:
1. Back issues of OP-SF Net archived
2. Submission deadlines for next issues of OP-SF Net and Newsletter
3. Activity on Representation Theory and q-Special Functions
(second announcement)
4. Minisymposium "Special Functions and Asymptotics"
(second announcement)
5. Workshop on Transform Methods and Special Functions
(second announcement)
6. Special functions conference at Sam Houston State University
7. Thomas Stieltjes Conference, Delft, 1994
(second announcement)
8. New book on generalized fractional calculus
9. Question about closed form for an integral
10. Question about OP's with coefficients in a finite field
11. Historical remark about Stieltjes and Meixner polynomials
12. Anonymous ftp site on Orthogonal Polynomials etc.
Topic #1 -------------- OP-SF NET --------------- February 3, 1994
From: Tom H. Koornwinder
Subject: Back issues of OP-SF Net archived
Back issues of OP-SF Net can be obtained from SIAM's anonymous FTP server,
internet address ae.siam.org , in directory pub/opsf-net .
Topic #2 -------------- OP-SF NET --------------- February 3, 1994
From: Tom H. Koornwinder
Subject: Submission deadlines for next issues of OP-SF Net and Newsletter
Contributions to the third issue of OP-SF Net should reach the email
address poly@siam.org before March 16, 1994.
Contributions to the Spring issue of the Orthogonal Polynomials and
Special Functions Newsletter should reach the Editor Eugene Tomer
before February 11, 1994. The preferred mode is a Latex file sent
to his email address etomer@netcom.com . Alternatively, or in
addition, send hard copy to:
Eugene Tomer
Applied Mathematics & Computing
150 Hernandez Avenue
San Francisco, CA 94127, USA
fax +1-415-731 3551
Contributions to either the Net or to the Newsletter will be
automatically considered also for inclusion in the other medium.
Topic #3 -------------- OP-SF NET --------------- February 3, 1994
From: Tom H. Koornwinder
Subject: Activity on Representation Theory and q-Special Functions
(second announcement)
The Thomas Jan Stieltjes Research Institute is a newly-organized
inter-university mathematical research center which is physically
spread over the mathematics departments of the participating
universities in the western part of The Netherlands. Within the
framework of the Institute's program there will be a period of
concentration on representation theory and q-special functions.
Thus, between April and June, 1994, a number of guests are expected,
for a longer or shorter time, short courses will be given on graduate
level, and weekly seminars will be held. The focus will be on
Heckman-Opdam hypergeometric functions associated with root systems,
and interpretations of Macdonald's orthogonal $q$-polynomials on
quantum groups. The activity will take place both at the Universities
of Leiden and Amsterdam.
The following three guests will stay for at least one month and will
give short courses:
- Ian G. Macdonald (London, England), May,
"Affine Hecke algebras and orthogonal polynomials"
- Charles F. Dunkl (Charlottesville, Virginia, USA),
half of April - end of May, "Special Functions, Coxeter Groups,
and Differential-Difference Operators"
- Masatoshi Noumi (Tokyo, Japan), half of April - half of June,
"Quantum Gelfand pairs related to Macdonald polynomials"
In a next announcement the full list of guests will be given. Further
information can be obtained from Tom Koornwinder (thk@fwi.uva.nl) or
from Eric Opdam (opdam@rulcri.leidenuniv.nl).
Topic #4 -------------- OP-SF NET --------------- February 3, 1994
From: Martin Muldoon
Subject: Minisymposium "Special Functions and Asymptotics"
(second announcement)
At the SIAM Annual Meeting, San Diego, July 25-29, 1994, Charles F.
Dunkl ( University of Virginia) and Martin Muldoon, (York University,
Canada) will organize a minisymposium on "Special Functions and
Asymptotics". It is cosponsored by the SIAM Activity Group on
Orthogonal Polynomials and Special Functions.
Description: Many problems arising in the natural sciences,
engineering, combinatorics, statistics, etc. lead ultimately to
approximating integrals or solving differential equations. The two
topics of this minisymposium describe the basic solutions and
techniques required to deal with such problems. All but the simplest
special functions are often best described by asymptotic information
(typically as one or more of the variables approaches infinity); at
the same time, the asymptotic behavior of complicated functions is
often best understood through the medium of known special functions.
Frank Olver's classic "Asymptotics and Special Functions" (Academic
Press, 1974) stresses this duality. This minisymposium will explore a
variety of current approaches in these classical subjects.
Speakers:
Richard Askey, University of Wisconsin
Title: "Extensions of Hermite polynomials and other orthogonal
polynomials"
Bruce Berndt, University of Illinois
Title: "Some asymptotic formulas of Ramanujan"
T.M. Dunster, San Diego State University
Title: "New uniform asymptotic approximations for Jacobi polynomials"
Ronald Evans, University of California at San Diego
Title: "Multidimensional q-beta integrals"
George Gasper, Northwestern University
Title: "Applications of sums and integrals of squares of special functions"
Jeffrey S. Geronimo, Georgia Institute of Technology
Title: "Asymptotics and spectral properties of orthogonal polynomials
based on their recurrence coefficients"
Adri Olde Daalhuis, University of Maryland
Title: "Hyperasymptotics"
Andre Ronveaux, FUNDP, Namur, Belgium
Title: "Heun's equations and the Schroedinger equation"
Renato Spigler, University of Padua. Italy
Title: "Discrete Liouville-Green approximations and orthogonal polynomial
asymptotics"
Frank Stenger, University of Utah
Title: "Asymptotics methods complemented by numerical methods"
Audrey Terras, University of California at San Diego
Title: "Comparison of special functions for finite and continuous
symmetric spaces"
Get information about registration for the SIAM annual meeting and
about the further program of the meeting by sending email to
meetings@siam.org . For further information about the minisymposium
please contact Martin Muldoon (muldoon@nexus.yorku.ca).
Topic #5 -------------- OP-SF NET --------------- February 3, 1994
From: Virginia Kiryakova
Subject: Workshop on Transform Methods and Special Functions
(second announcement)
Workshop on Transform Methods and Special Functions
Sofia, Bulgaria, 12-17 August, 1994
Main subjects of the Workshop are: Integral Transforms, Special
Functions, Series Expansions, Fractional Calculus and Generalizations,
Algebraical Analysis, Operational Calculus, Applications to Complex
Analysis, Differential and Integral Equations.
Organizing Committee: P. Rusev, I. Dimovski and S.L. Kalla (chairmen),
V. Kiryakova and L. Boyadjiev (secretaries).
Place: Resort Town of Bankya, 20 km from Sofia.
Full Board: for all the period (lodgings, breakfast, lunch and supper)
approx. USD 150. Participation Fee: USD 100 (for accompanying persons:
USD 50).
Deadline: Since the necessary number of rooms and halls in hotel
"Journalist" should be booked long in advance, those who wish to
participate are kindly asked to contact as soon as possible via E-mail
or Fax:
Assoc. Prof. V. Kiryakova, Institute of Mathematics
Bulgarian Academy of Sciences, Sofia 1090, Bulgaria
fax: +359-2-752 078, e-mail: virginia@bgearn.bitnet
Topic #6 -------------- OP-SF NET --------------- February 3, 1994
From: Patrick J. Van Fleet
Subject: Special functions conference at Sam Houston State University
This is an announcement for a possible National Conference on Special
Functions and their Applications --- contingent upon funding --- at
Sam Houston State University from August 25 - 27, 1994. Sam Houston
State University is located in Huntsville, Texas, approximately 65
miles north of Houston.
This proposed national conference is intended to provide a forum for
the exchange of new ideas and techniques from several areas of special
function theory and its applications. The following mathematicians
have tentatively agreed to speak:
G. Andrews, Penn State University
R. Askey, University of Wisconsin
B. C. Carlson, Iowa State University - Ames Lab
J. Dickey, University of Minnesota
R. Gustafson, Texas A&M University
E. Neuman, Southern Illinois Unversity
V. Retakh, Harvard University
R. Wong, University of Manitoba.
The list of these main speakers is indicative of the wide range of
topics to be covered by this proposed conference.
If you are interested in attending and/or contributing a paper to this
proposed national conference, please let us know and we will put you
on our mailing list and keep you updated. If you would, please
indicate if you are interested in contributing a talk and/or a paper
for the proceedings. We encourage graduate students to participate
and contribute to this proposed conference.
Our addresses are:
Patrick J. Van Fleet Peter R. Massopust
Department of Mathematics Department of Mathematics
Sam Houston State University Sam Houston State University
Huntsville, TX 77341, USA Huntsville, TX 77341, USA
tel. +1-409-294 1493 tel. +1-409-294 1493
email mth_pvf@shsu.edu email mth_prm@shsu.edu
Topic #7 -------------- OP-SF NET --------------- February 3, 1994
From: Marcel G. de Bruin
Subject: Thomas Stieltjes Conference, Delft, 1994
(second announcement)
A first announcement of the conference
"Orthogonality, Moment Problems and Continued Fractions",
an international conference in honour of
Thomas Jan Stieltjes Jr. (1856-1894),
October 31 - November 4, 1994,
Delft University of Technology, The Netherlands
appeared in OP-SF Net 1.1. A second announcement, including a
registration form, has gone out now. It can be obtained by sending a
request to email address tjs94@twi.tudelft.nl . From the second
announcement the following information is extracted here.
Registration: before May 1, 1994
Short communications:
If you want to contribute a short communication (about 20 minutes),
please send an abstract (two pages A4 at most) before May 1, 1994.
Proceedings:
The Proceedings of the conference will be published as a special issue
of the Journal of Computational and Applied Mathematics. Manuscripts
must be submitted in triplicate during (or before) the conference.
Conference fees:
The conference fees are Dfl. 600 for participants, including the
program and book of abstracts, a copy of the proceedings, all lunches
and dinners, coffee, tea and an excursion.
Invited lectures:
C. Berg : Indeterminate moment problems and the theory of
entire functions
G. van Dijk : Thomas Jan Stieltjes : mathematician by profession?
J.B. Hiriart-Urruty : Differentiability and non-differentiability in
mathematical problems
L. Lorentzen : Continued fractions
F. Marcellan : Differential-difference operators and orthogonal
polynomials in Sobolev spaces
P. Nevai : Generalized polynomials
F. Peherstorfer : Stieltjes polynomials and Gauss-Kronrod quadrature
N.M. Temme : Current problems in uniform asymptotic estimates of
integrals
W. Van Assche : The impact of Stieltjes' work on orthogonal
polynomials
Further information:
TJS94, Room H4.11
Department of Pure Mathematics
Delft University of Technology
P.O. Box 5031
2600 GA Delft
The Netherlands
email: tjs94@twi.tudelft.nl
Topic #8 -------------- OP-SF NET --------------- February 3, 1994
From: Virginia Kiryakova
Subject: New book on generalized fractional calculus
The following book appeared:
Virginia Kiryakova
Generalized Fractional Calculus and Applications
Pitman Research Notes in Mathematics Ser., No 301
Longman Scientific & Technical
ISBN 0-582-21977-9, 42,50 pound
for USA and Canada:
John Wiley & Sons, ISBN 0-470-23376-1
Readership:
Mathematicians concerned with Fractional Calculus, Special Functions
and Integral Transforms, Differential and Integral Equations,
Operational and Convolutional Calculus, Analytic Functions and users
of Applied Analysis.
Abstract:
The book is devoted to a systematic and unified development of a new
Generalized Fractional Calculus, related to many special cases (most
of the generalized integrals and derivatives introduced by different
authors) and various applications. The basic operators are the
generalized (multiple Erdelyi-Kober) fractional integrals and
derivatives defined by means of convolutional integrals whose kernels
are Meijer's G-functions, or Fox's H-functions. Their basic properties
are derived and various applications are discussed, in particular to:
the hyper-Bessel differential operators and ODE-s, Gelfond-Leontiev
operators, generalized Laplace type integral transforms, operational
and convolutional calculi, special functions of hypergeometric type
and their new representations, solutions to classes of differential
and integral equations, transmutation method, etc. To make the
exposition self-contained an Appendix is included, dealing with the
special functions used in the book.
Contents:
Introduction; Chapter 1. Generalized operators of fractional
integration and differentiation; Chapter 2. Recent aspects of
Erdelyi-Kober operators; Chapter 3. Hyper-Bessel differential and
integral operators and equations; Chapter 4. Applications to
generalized hypergeometric functions; Chapter 5. Further
generalizations and applications; Appendix. Definitions, examples and
properties of the special functions used in the book; References;
Citation Index; 400 p.
Author's address:
Assoc. Prof. Dr. Virginia Kiryakova, Institute of Mathematics,
Bulgarian Academy of Sciences, P.O. Box 373, Sofia 1090, Bulgaria
email: virginia@bgearn.bitnet
Enquiries and orders (except for USA and Canada):
Judy Higgins, Longman Higher Education, Longman House, Burnt Mill,
Harlow, Essex CM20 2JC, England (Fax: +44-279-623 862)
For USA and Canada:
Beth Schacht, John Wiley & Sons, Inc., 605 Third Avenue,
New York, NY 10158-0012, USA
Topic #9 -------------- OP-SF NET --------------- February 3, 1994
From: Paul Abbott
Subject: Question about closed form for an integral
Suggestions for a closed form solution to the following problem
appreciated.
S
/
| u
Defining H[S] = | [e - 1] du
| -----------
/ u
0
= Sum[S^n / (n n!), {n,1,Infinity}]
= ExpIntegralEi[S] - Log[S] - EulerGamma
Then
Integrate[E^(-R y) H[S (1 - y)], {y, -1, 1}]
R -R
e H[2S] - e {H[2S+2R] - H[2R]}
= --------- -----------------------
R R
I am trying to find a closed form expression for the following integral:
Integrate[E^(-R y) H[S (1 - y)] H[T (1 + y)], {y, -1, 1}]
Any pointers or references to integrals of this type would be greatly
appreciated.
Paul Abbott
Department of Physics
Nedlands 6009
Phone: +61-9-380 2734
Fax: +61-9-380 1014
email: paul@earwax.pd.uwa.edu.au
Topic #10 ------------- OP-SF NET --------------- February 3, 1994
From: Herve LeFerrand (via Alphonse P. Magnus)
Subject: Question about OP's with coefficients in a finite field
Herve LeFerrand <leferran@u-bourgogne.fr>
wishes to know if something has been done on OP's with coefficients in
a finite field. Any tip?
Topic #11 ------------- OP-SF NET --------------- February 3, 1994
From: Galliano Valent
Subject: Historical remark about Stieltjes and Meixner polynomials
In the next issue of the Orthogonal Polynomials and Special Functions
Newsletter a one-page note by Galliano Valent will appear with the
title "Stieltjes results on Meixner polynomials". The paper makes
clear that Stieltjes had obtained the explicit form of the
orthogonality measure for Meixner polynomials already in 1895, roughly
fourty years before Meixner published his paper on these polynomials.
For further information, read the Newsletter or contact:
Galliano Valent
Laboratoire de Physique Theorique et des Hautes Energies
Unite associee au CNRS URA 280
Universite Paris 7
2 Place Jussieu
75251 Paris Cedex 05, France
email: valent@lpthe.jussieu
Topic #12 ------------- OP-SF NET --------------- February 3, 1994
From: Waleed A. Al-Salam
Subject: Anonymous ftp site on Orthogonal Polynomials etc.
Waleed Al-Salam has an anonymous ftp site at
euler.math.ualberta.ca
on orthogonal polynomials and related special functions.
Manuscripts can be obtained from directory pub and subdirectories.
In particular, examine the CONTENTS file in the pub directory.
If you wish to receive periodic info regarding recent additions to
this database please send an email message to
waleed@euler.math.ualberta.ca with your e-mail address.
You are invited to submit one or more of your not-yet-in-print
manuscripts which you wish to make available to the general OPS
community. They should be in Plain TeX, Latex, AMSTeX or AMSLaTeX
format. These manuscripts can be submitted by one of the following
methods:
a) E-mail to waleed@EULER.MATH.UALBERTA.CA
b) anonymous ftp to euler.math.ualberta.ca
then "cd submissions"
and finally "put file" where "file" is the name of the file
you wish to deposit.
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- and this activity group: service@siam.org -
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- Tom H. Koornwinder, Secretary -
- Martin E. Muldoon, Program Director -
- Eugene Tomer, Newsletter Editor -
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