Volume 1, Number 4
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- May 2, 1994 -
- O P - S F N E T Volume 1, Number 4 -
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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. Editorial note
2. Future Minisymposia: call for suggestions of topics
3. Death of J. Meixner
4. Workshop on Orthogonal Polynomials in Namur, Belgium
5. SIAM Minisymposium "Special Functions and Asymptotics"
(fourth announcement)
6. Hong Kong Symposium on Methods and Applications of Analysis
7. Eighth International Conference on Approximation Theory
8. Fields Institute program in Special functions, q-series and
related topics
9. Special issue of SIAM J. Math. Anal.
10. Survey of Numerical Evaluation of Special Functions
11. Mathematica and Maple packages on formal power series
12. List of contents of Askey-Olver issue of SIAM J. Math. Anal.
13. Recent additions to ftp site on orthogonal polynomials and
related special functions
14. Obtaining back issues and contributing to future issues
of OP-SF Net
Topic #1 ----------------- OP-SF NET ----------------- May 2, 1994
From: Tom H. Koornwinder <thk@fwi.uva.nl>
Subject: Editorial note
There has been some discussion if lists of contents of current issues of
journals should be incuded in OP-SF Net, as far as these journals are
completely or partially within the field of our Activity Group. For the
moment the net editor will keep to the following policy.
1. A list of contents will only be given if it concerns some special
issue which is very relevant for our field. As an example, see the
list of contents of the special Askey-Olver issue of SIAM J. Math.
Anal. in topic #12 below.
2. As for preprints, the new additions in W. Al-Salam's archive will be
regularly listed in OP-SF Net.
If you still would like to see the lists of contents of some relevant
journals on your screen, then you may consider to subscribe to AT-NET
(the news net on approximation theory), which indeed offers this
service. Subscribe to this Net by sending email to
listserv@technion.technion.ac.il
with the command
SUBscribe AT-NET
in the body of the message.
Topic #2 ----------------- OP-SF NET ----------------- May 2, 1994
From: Martin Muldoon <muldoon@nexus.yorku.ca>
Subject: Future Minisymposia: call for suggestions of topics
The Program Director of the Activity Group is interested in getting
suggestions from members for future Minisymposia at the Annual SIAM and
other appropriate meetings. Typically, Minisymposia consist of about six
20-30 minute talks on a particular theme. The program for San Diego
(July 1994) is already complete. We are interested in your suggestions
for the 1995 Annual Meeting (Louisville, October 16-19) and the ICIAM
meeting in Hamburg, Germany (July 3-7, 1995). Send suggestions to Martin
Muldoon <muldoon@mathstat.yorku.ca>.
Topic #3 ----------------- OP-SF NET ----------------- May 2, 1994
From: J. Boersma <wstanal@win.tue.nl>
Subject: Death of J. Meixner
Josef Meixner (Aachen, Germany) died on March 19, 1994. He almost reached
the age of 86 years. Prof. Meixner is well-known, among others, by his
work on Meixner and Meixner-Pollaczek polynomials and on spheroidal wave
functions.
Topic #4 ----------------- OP-SF NET ----------------- May 2, 1994
From: Andre Ronveaux <aronveaux@cc.fundp.ac.be>
Subject: Workshop on Orthogonal Polynomials in Namur, Belgium
A Workshop on Orthogonal Polynomials will be held on Friday May 20, 1994
in Namur, Belgium. The theme will be "Linearization and connection
coefficients"
Location: Auditoire PH1 (St. Aubain, Rue de Bruxelles),
Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium
Program:
10.00 A. Ronveaux (Namur)
Introduction, survey and some results for classical continuous
and discrete families
11.00 E. Godoy (Vigo)
Recurrence relations for connection coefficients and integrals:
computational aspects with Mathematica
12.00 W. Van Assche (Leuven)
Banach algebras associated with positive linearization coefficients
in perturbation analysis
14.30 A. Magnus (Louvain-la-Neuve)
Difference relations for semi-classical SNUL polynomials
15.30 H.T. Koelink (Leuven)
Non-negative linearization coefficients for q-Legendre polynomials
If you want to participate, please contact Andre Ronveaux before May 13
at the following address:
Laboratoire de Physique Mathematique,
FUNDP, Namur, Belgium
phone: +32-81-724 700, fax: +32-81-724 707
email: aronveaux@cc.fundp.ac.be
Topic #5 ----------------- OP-SF NET ----------------- May 2, 1994
From: Martin Muldoon <muldoon@nexus.yorku.ca>
Subject: SIAM Minisymposium "Special Functions and Asymptotics"
(fourth announcement)
A minisymposium on Special Functions and Asymptotics will be held during
the SIAM Annual Meeting, San Diego, July 25-29, 1994. The symposium is
organized by Charles F. Dunkl (University of Virginia) and Martin
Muldoon (York University, Canada). It is co-sponsored by the SIAM
Activity Group on Orthogonal Polynomials and Special Functions. The
symposium will be mostly on Friday, July 29, with four talks on an
earlier day.
Speakers:
Richard Askey (University of Wisconsin, Madison)
"Extensions of Hermite polynomials and other orthogonal polynomials"
Bruce Berndt (University of Illinois, Urbana)
"Some asymptotic formulas of Ramanujan"
T.M. Dunster (San Diego State University)
"New uniform asymptotic approximations for Jacobi polynomials"
Ronald Evans (University of California at San Diego)
"Multidimensional q-beta integrals"
George Gasper (Northwestern University, Evanston, Illinois)
"Applications of sums and integrals of squares of special functions"
Jeffrey S. Geronimo (Georgia Institute of Technology, Atlanta)
"Asymptotics and spectral properties of orthogonal polynomials
based on their recurrence coefficients"
Adri Olde Daalhuis (University of Maryland, College Park)
"Hyperasymptotics"
Andre Ronveaux (Facultes Universitaires Notre-Dame de la Paix, Namur,
Belgium)
"Heun's equations and the Schroedinger equation"
Renato Spigler (University of Padua, Italy)
"Discrete Liouville-Green approximations and orthogonal polynomial
asymptotics"
Frank Stenger (University of Utah, Salt Lake City)
"Asymptotics methods complemented by numerical methods"
Audrey Terras (University of California at San Diego)
"Comparison of special functions for finite and continuous
symmetric spaces"
Roderick Wong (City Polytechnic of Hong Kong)
"Uniform asymptotic expansion of an oscillatory integral"
For further information about the SIAM annual meeting and for the
registration form see SIAM News, April 1994.
This information can also be obtained from the SIAM office:
phone: +1-215-382 9800
toll free: 800-447-7426 (USA only)
fax: +1-215-386 7999
email: meetings@siam.org
To save $40, register prior to the preregistration deadline of July 11.
Hotel information:
The Sheraton Harbor Island East
1380 Harbor Island Drive
San Diego, California 92101-1092
Room Rates: $99.00 Single, $120.00 Double, Occupancy/Sales Tax 9%.
To make a reservation: Call the hotel before July 5 at +1-619-291 2900.
Identify yourself as an attendee at the 1994 SIAM Annual Meeting.
Be sure to request a confirmation number.
Topic #6 ----------------- OP-SF NET ----------------- May 2, 1994
From: Robert M. Miura <miura@neuron.math.ubc.ca>
Subject: Hong Kong Symposium on Methods and Applications of Analysis
An International Symposium on Methods and Applications of Analysis
will be held in Hong Kong, December 16-19, 1994.
Program: The purpose of this symposium is to provide a forum for
an exchange of ideas among experts in various areas of applied
analysis. It also aims at disseminating information on recent
advances made in these areas. Symposium topics include asymptotics,
integral equations, perturbation methods, special functions, wave
propagation. There will be one-hour expository addresses,
half-hour specialized talks, and poster sessions.
Plenary Speakers: D.J. Benney, MIT; M.V. Berry, U. of Bristol;
C.K.R.J. Jones, Brown U.; D.S. Jones, U. of Dundee; M.D. Kruskal,
Rutgers U.; L. Lorch, York U.; J.B. McLeod, U. of Pittsburgh;
M. Mimura, Tokyo U.; F.W.J. Olver, U. of Maryland; R.E. O'Malley,
U. of Washington.
Call for Papers: Titles and abstracts of contributed papers for
the poster sessions must be received by July 30, 1994. The
abstracts should be typed double-spaced, not to exceed one page,
and sent to one of the program organizers.
Program Organizers: R. M. Miura, Dept. of Math., U. of British
Columbia <miura@neuron.math.ubc.ca>; R.S.C. Wong, Dept. of
Math., City Polytechnic of Hong Kong <MAWONG@cphkvx.cphk.hk>
Information: Raymond Chan, Dept. of Math., Chinese U. of Hong
Kong <rchan@euler.math.cuhk.hk>
Topic #7 ----------------- OP-SF NET ----------------- May 2, 1994
From: C.K. Chui <cat@math.tamu.edu>
Subject: Eighth International Conference on Approximation Theory
The Eighth International Conference on Approximation Theory will be
held in College Station, Texas, USA during January 8-12, 1995.
As for orthogonal polynomials and special functions: Doron Lubinsky
will be a plenary speaker, and there will be a sesion on orthogonal
polynomials. For further information, please contact the conference
secretary Jan Want <cat@math.tamu.edu> or ftp to wavelet1.math.tamu.edu
(user: texas8; password: texas8) and get the files texas8.info and
texas8.forms.
Topic #8 ----------------- OP-SF NET ----------------- May 2, 1994
From: Tom H. Koornwinder <thk@fwi.uva.nl>
Subject: Fields Institute program in Special functions, q-series and
related topics
It has become known very recently that a grant has been approved for a
two-week program in Special functions, q-series and related topics, to
be held during June 12-23, 1995 at the Fields Institute in Toronto,
Ontario, Canada. The organizers are David Masson, Mizan Rahman and
Mourad Ismail. The international advisory committee consists of George
Andrews, Richard Askey, Charles Dunkl, Tom Koornwinder and Doron
Zeilberger, together with the organizers. During the first week of the
program several minicourses will be given. In the second week there will
be lectures on recent results, each day being devoted to a different topic.
Further information about the program, possibilities of participation, etc.
will follow later.
Topic #9 ----------------- OP-SF NET ----------------- May 2, 1994
From: George Gasper <george@math.nwu.edu>
Subject: Special issue of SIAM J. Math. Anal.
The March issue of the SIAM J. Math. Anal., which is dedicated to R.
Askey and F. Olver, has just been mailed to the subscribers. It was
mailed late partly because the production schedule slipped due to the
incredible size of the issue (over 400 pages). The guest editors were
George Andrews, George Gasper, Mourad Ismail and Paul Nevai. See topic
#12 below for the list of contents.
For those who want to order this single issue: The price for non-members
in the US, Canada, and Mexico is $65.00; overseas, it is $75.00.
To order, please contact:
SIAM, Customer Service Department
3600 University City Science Center
Philadelphia, PA 19104-2688
phone: +1-215-382 9800
fax: +1-215-386 7999
email: service@siam.org
Topic #10 ---------------- OP-SF NET ----------------- May 2, 1994
From: Tom H. Koornwinder <thk@fwi.uva.nl>
Subject: Survey of Numerical Evaluation of Special Functions
There is a very useful forthcoming paper:
F.W.J. Olver and D.W. Lozier,
"Numerical evaluation of special functions",
to appear in:
Mathematics of Computation 1943-1993: A half-century of
computational mathematics,
Walter Gautschi (ed.),
Proceedings of Symposia in Applied Mathematics,
American Mathematical Society, Proidence, RI.
Abstract:
Higher transcendental functions continue to play varied and important
roles in investigations by engineers, mathematicians, scientists and
statisticians. The purpose of this paper is to assist in locating useful
approximations and software for the numerical generation of these
functions, and to offer some suggestions for future developments in this
field.
Contents:
1. Introduction
2. Mathematical developments
3. Packages, libraries and systems
(a general survey of software libraries and packages that include
collections of special functions)
4. Functions of one variable
5. Functions of two or more variables
(In sections 4 and 5 the functions are treated individually.
The authors list software that is already available and readily
programmable numerical approximations.)
6. Testing and library construction
7. Future trends
References (22 pages!)
Topic #11 ---------------- OP-SF NET ----------------- May 2, 1994
From: Wolfram Koepf <koepf@sc.zib-berlin.de>
Subject: Mathematica and Maple packages on formal power series
Two packages have been completed on formal power series, one for
Mathematica and one for Maple. These packages, together with latex files
of papers describing them, are available from Waleed Al Salam's ftp-site
(see topic #13) in directories pub/koepf/pseries (for Mathematica) and
pub/koepf/fps (for Maple).
The Mathematica package PowerSeries.m by Wolfram Koepf deals with
- the algorithmic calculation of differential equations,
- the algorithmic calculation of Laurent-Puiseux series,
- the algorithmic calculation of recurrence equations,
- and the calculation of generating functions.
All algorithms work with special functions of the hypergeometric type.
The accompanying paper is:
W. Koepf, "A package on formal power series". Mathematica Journal 4
(May 1994), to appear.
The Maple package FPS deals with
- the algorithmic calculation of differential equations,
- the algorithmic calculation of Laurent-Puiseux series,
- and the algorithmic calculation of asymptotic series.
All algorithms work with special functions of the hypergeometric type.
It is written by Dominik Gruntz. The accompanying paper is:
D. Gruntz and W. Koepf, Formal power series, Preprint SC 93-31,
Konrad-Zuse-Zentrum Berlin (ZIB), 1993.
Topic #12 ---------------- OP-SF NET ----------------- May 2, 1994
From: George Gasper <george@math.nwu.edu>
Subject: List of contents of Askey-Olver issue of SIAM J. Math. Anal.
Contents of the Askey-Olver Special Issue of SIAM J. Math. Anal.,
March 1994, Vol. 25, Number 2
"Dedication," George Andrews, George Gasper, Mourad Ismail, and
Paul Nevai
"A hypergeometic analysis of the genus series for a class of
two-cell embeddings in orientable surfaces," G.E. Andrews, D.M. Jackson
and T.I. Visentin
"On connection coefficients for q-differential systems of
A-type Jackson integrals," Kazuhiko Aomoto
"Group theoretical interpretations of special function
identities: two examples," L. C. Biedenharn and A. K. Ciftci
"Asymptotic approximations for symmetric elliptic integrals,"
B.C. Carlson and J.L. Gustafson
"Uniform Airy-type expansions of integrals," A.B. Olde Daalhuis and
N.M. Temme
"Uniform asymptotic solutions of second-order linear
differential equations having a simple pole and a coalescing
turning point in the complex plane," T. M. Dunster
"On the derivative with respect to a parameter of a zero of
a Sturm-Liouville function," Arpad Elbert and Martin E. Muldoon
"Remez- and Nikolskii-type inequalities for logarithmic
potentials," Tamas Erdelyi, Xin Li, and B. Saff
"Generalized Jacobi weights, Christoffel functions, and
Jacobi polynomials," Tamas Erdelyi, Alphonse P. Magnus, and
Paul Nevai (Note: This corrects an incorrect ordering of the authors
in the journal.)
"On necessary multiplier conditions for Laguerre expansions II,"
George Gasper and Walter Trebels
"Scattering theory, orthogonal polynomials, and q-series,"
Jeffrey S. Geronimo
"On the asymptotics of the Tricomi-Carlitz polynomials and their zero
distribution (I)," William M.Y. Goh and Jet Wimp
"Watson's basic analogue of Ramanujan's Entry 40 and its
generalization," Dharma P. Gupta and David R. Masson
"Some q-beta integrals on SU(n) and Sp(n) that generalize the
Askey-Wilson and Nasrallah-Rahman integrals," Robert A. Gustafson.
"On the Struve transformation," P. Heywood and P.G. Rooney
"Asymptotics of Pollaczek polynomials and their zeros,"
Mourad E.H. Ismail
"Asymptotic remainders," D. S. Jones
"Application of Szego polynomials to frequency analysis,"
William B. Jones, Olav Njastad, and Haakon Waadeland
"Models of q-algebra representations: the group of plane motions,"
E. G. Kalnins, W. Miller, Jr., and S. Mukherjee
"Some results on co-recursive associated Laguerre and Jacobi
polynomials," Jean Letessier
"Bounds and montonicities for the zeros of derivatives of ultraspherical
Bessel functions, Lee Lorch and Peter Szego
"Best weighted polynomial approximation via Jacobi expansions,"
Doron S. Lubinsky and Vilmos Totik
"The $C_l$ Rogers-Selberg identity," Stephen C. Milne
"Positivity of integrals of Bessel functions," Jolanta K. Misiewicz and
Donald St. P. Richards
"Regularization of nonlinear differential-algebraic
equations," Robert O'Malley, Jr. and Leonid V. Kalachev
"A generalization of Pearcey's integral," R.B. Paris
"The Pearson equation and the beta integrals," Mizan Rahman
and Sergei K. Suslov
"The classical umbral calculus," G.-C. Rota and B.D. Taylor
"Specializations of generalized Laguerre polynomials," R. Simion
and D. Stanton
"Discrete and continuous Liouville-Green-Olver
approximations: a unified treatment via Volterra-Stieltjes integral
equations," Renato Spigler and Marco Vianello
"Truncation error for limit periodic Schur algorithms," W. J. Thron
"Asymptotic analysis of some associated orthogonal
polynomials connected with elliptic functions," Galliano Valent
"On the relative extrema of the Jacobi polynomials
$P^{(0,-1)}_n (x)$," R. Wong and J.-M. Zhang
"Towards a WZ evaluation of the Mehta integral," Doron
Zeilberger
In the Askey-Olver Special Issue it should have been stated
that the quest editors were
George Andrews, George Gasper, Mourad Ismail, and Paul Nevai.
Due to conditions beyond the control of the guest editors, it was
impossible to include in this issue all of the papers dedicated to
Askey and Olver that were accepted for publication: the papers listed
below will appear in future issues of this journal.
1. "Barnes and Ramanujan-type integrals on the q-linear lattice,"
Mizan Rahman and Sergei K. Suslov
2. "Convex approximation by rational functions," Bo Gao, Donald J. Newman,
and V.V. Popov
Topic #13 ---------------- OP-SF NET ----------------- May 2, 1994
From: Waleed A. Al-Salam <waleed@euler.math.ualberta.ca>
Subject: Recent additions to ftp site on orthogonal polynomials and
related special functions
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.
Between March 2 and April 21 1994 the following additions were put in the
pub directory:
G. Lopez, F. Marcellan, and W. Van Assche, Relative Asymptotics for
polynomials orthogonal with respect to a discrete Sobolev inner product
(see /ftp/pub/sobolev_lomava.tex)
A.P. Magnus, Asymptotics for the simplest generalized Jacobi polynomials
recurrence coefficients from Freud's equation:numerical explorations
(see /ftp/pub/magnus/(gjacobimagnus.tex +gjacobimagnus.1)
D. Zeilberger, Three recitations on holonomic systems and hypergeometric
series (see /ftp/pub/recitations.tex)
T.H. Koornwinder, q-Special functions, a tutorial
(see /ftp/pub/qspecial/qspectut.tex+wilsonqhahn.tex)
T.H. Koornwinder, Discrete hypergroups associated with compact quantum
Gelfand pairs (see /ftp/pub/koornwinder3.tex)
T.H. Koornwinder and V. B. Kuznetsov, Gauss hypergeometric function and
quadratic T-matrix algebras (see /ftp/pub/koornwinder-kuznetsov.tex).
W. Koepf, Algorithmic work with orthogonal polynomials and special functions.
(see /ftp/pub/ortho.tex)
W. Koepf and D. Schmersau, Spaces of functions satisfying simple differential
equations (see /ftp/pub/diffeq.tex)
W. Koepf and D. Schmersau, Bounded nonvanishing functions and Bateman
functions (see /ftp/pub/bateman.ps )
H.T. Koelink and R.F. Swarttouw, A q-analogue of Graf's addition formula
for the Hahn-Exton q-Bessel function (see /ftp/pub/koelswar.tex)
W. Koepf, A package on formal power series
(see /ftp/pub/koepf/pseries/mathjournal.tex+PowerSeries.m)
D. Gruntz and W. Koepf, Formal power series.
(see /ftp/pub/koepf/fps/FPS.tex+FPS+readme+maple.sty+macros.tex)
Topic #14 ----------------- OP-SF NET ----------------- May 2, 1994
From: Tom H. Koornwinder <thk@fwi.uva.nl>
Subject: Obtaining back issues and contributing to future issues
of OP-SF Net
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 .
Contributions to the fifth issue of OP-SF Net should reach the email
address poly@siam.org before June 15, 1994.
Contributions to the Summer issue of the Orthogonal Polynomials and
Special Functions Newsletter should reach the Editor Eugene Tomer
before May 10, 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.
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- 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. -
- Submissions with sufficiently long useful life will also be -
- considered automatically for our quarterly printed newsletter. -
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- (directory pub/opsf-net) -
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- and this activity group: service@siam.org -
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- George Gasper, Vice Chair -
- Tom H. Koornwinder, Secretary -
- Martin E. Muldoon, Program Director -
- Eugene Tomer, Newsletter Editor -
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