Volume 1, Number 5




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-                                                                   -
-                                           June 16, 1994           -
-      O P - S F   N E T                    Volume 1, Number 5      -
-      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~      -
-      Tom H. Koornwinder, Editor           thk@fwi.uva.nl          -
-                                                                   -
-                                                                   -
-      The Electronic News Net of the SIAM Activity Group           -
-      on Orthogonal Polynomials and Special Functions              -
-                                                                   -
-                 Please send contributions to:  poly@siam.org      -
-                 & address changes to:  poly-request@siam.org      -
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Today's Topics:
     1. SIAM Minisymposium "Special Functions and Asymptotics"
        (fifth announcement)
     2. Business meeting of Activity Group at San Diego
     3. One-day seminar on orthogonal polynomials in Amsterdam
     4. Special session on q-series at AMS Summer Meeting, Minneapolis
     5. Re: Survey of Numerical Evaluation of Special Functions
     6. Formula list on Askey-Wilson polynomials and their limits
     7. Recent additions to ftp site on orthogonal polynomials and
        related special functions
     8. Obtaining back issues and contributing to future issues
        of OP-SF Net


Calendar of events:                                        see issue/topic:

1994
July 8-21: Workshop on Finite Dimensional Integrable Systems, Dubna  1.3 #4
July 25-29: Business meeting of Activity Group at San Diego meeting  1.5 #2
July 28-29: SIAM Minisymposium "Special Functions and Asymptotics"   1.5 #1
August 4: Orthogonal polynomials day, Free University, Amsterdam     1.5 #3
August 12-17: Workshop on Transform Methods etc., Sofia, Bulgaria    1.2 #5
August 12-20: Classical and quantum geometry etc., Moscow            1.1 #7
August 15-17: Special session on q-series at Minneapolis Mathfest    1.5 #4
August 25-27: Special functions conference, Sam Houston State Univ.  1.2 #6
Oct.31-Nov.4: Thomas Stieltjes Conference, Delft                     1.2 #7
December 16-19: Hong Kong Symposium on Methods etc. of Analysis      1.4 #6
1995
January 8-12: Conference on Approximation Theory, College Station,   1.4 #7
June 12-23: Fields Institute workshop on Special functions etc.      1.4 #8



Topic #1  ----------------  OP-SF NET  ----------------  June 16, 1994
From: Martin Muldoon <muldoon@nexus.yorku.ca>
Subject: SIAM Minisymposium "Special Functions and Asymptotics"
         (fifth 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.
See OP-SF Net 1.4, topic #5 for the list of speakers.

In the Final Program, our first session will be on Thursday, July 28,
3:15 to 5:15. This differs from what was in the Preliminary Program,
mailed to SIAM members last month.  The new lineup is:

          Wong                     Thursday pm
          Olde Daalhuis            Thursday pm
          Dunster                  Thursday pm
          Stenger                  Thursday pm

          Askey                    Friday am
          Berndt                   Friday am
          Evans                    Friday amM
          Gasper                   Friday am

          Terras                   Friday pm
          Geronimo                 Friday pm
          Spigler                  Friday pm
          Ronveaux                 Friday pm



Topic #2  ----------------  OP-SF NET  ----------------  June 16, 1994
From: Charles F. Dunkl <cfd5z@fermi.clas.virginia.edu>
Subject: Business meeting of Activity Group at San Diego

During the SIAM Annual Meeting, San Diego, July 25-29, 1994 a business
meeting will be held of our Activity Group. The chairman of the
Activity Group is soliciting comments regarding the planning for
minisymposia at the Hamburg and Louisville meetings (see OP-SF Net
1.4, topic #2). The chairman also reminds the members that new items
for the business meeting can be sent to him
<cfd5z@fermi.clas.virginia.edu> or to Martin Muldoon
<muldoon@nexus.yorku.ca> before mid-July.



Topic #3  ----------------  OP-SF NET  ----------------  June 16, 1994
From: M.A. Kaashoek <kaash@cs.vu.nl>
Subject: One-day seminar on orthogonal polynomials in Amsterdam

A one-day seminar on orthogonal polynomials will be held at the Free
University, Amsterdam, Netherlands on  August 4, 1994.
The list of speakers is:

  I. Gohberg (Tel-Aviv University/Free University Amsterdam)
  "Orthogonal polynomials with an indefinite weight"

  W. Van Assche (Catholic University Leuven, Belgium)
  title to be announced

  T.H. Koornwinder (University of Amsterdam)
  "Orthogonal polynomials associated with root systems: recent progress"

  R.J. Ellis (University of Maryland, College Park, MD)
  "Orthogonal Systems Related to Infinite Hankel Matrices"

  A. Ben-Artzi (Tel-Aviv University)
  "Orthogonal polynomials over Hilbert modules"

  H. Landau (Bell Labs, Murray Hill, NJ) -- tentative

For further information please contact the organizer M.A. Kaashoek
<kaash@cs.vu.nl> at the Free University, Amsterdam.



Topic #4  ----------------  OP-SF NET  ----------------  June 16, 1994
From: Dennis W. Stanton <stanton@math.umn.edu>
Subject: Special session on q-series at AMS Summer Meeting, Minneapolis

The 96th Summer Meeting of the AMS will be held during August 15-17,
1994 in Minneapolis, Minnesota (the Minneapolis Mathfest). There will
be two activities on q-series.

First, George E. Andrews wil deliver a History of Mathematics Lecture
on "The well-poised thread: Some amazing sums of Gauss, Kummer,
Ramanujan, and others", 10.40 a.m. on Tuesday.

Second, George E. Andrews and Dennis W. Stanton will organize a
Special Session on q-Series (Monday, Tuesday and Wednesday
afternoons).  The tentative program is as follows.

Monday August 15

Bruce Berndt    Some values for the Rogers-Ramanujan continued fraction
Heng-Huat Chan  On Ramanujan's cubic continued fraction
Douglas Bowman  Transformations between products and continued fractions
Garth Payne     A Durfee rectangle proof of the Rogers-Ramanujan identities
Krisnaswami Alladi      Some new observations on the Gollnitz-Gordon
                        and Rogers-Ramanujan identities
Peter Borwein   Irrationality and Orthogonality

Tuesday

Susanna Fishel  Nonnegativity Results for Generalized q-Binomial
                Coefficients
Lynne Butler    A nonnegative expansion for Hall polynomials
Warren Johnson  Applications of q-differential calculus to combinatorics
Frank Garvan    More cranks and t-cores
Ken Ono         On Subbarao's conjecture

Wednesday

Shaun Cooper    A constant term identity and a conjecture of Peter Forrester
Mourad Ismail   The Askey-Wilson polynomials and q-Sturm Liouville problems
Steve Milne     U(n+1) extensions of Rogers' form of the Bailey transform
Willard Miller  q-algebra representations of the euclidean, pseudo-euclidean
                and oscillator algebras, and their tensor products



Topic #5  ----------------  OP-SF NET  ----------------  June 16, 1994
From: D.W. Lozier <dlozier@nist.gov>
Subject: Re: Survey of Numerical Evaluation of Special Functions

In OP-SF Net 1.4, topic #10 the forthcoming paper
   D.W. Lozier and F.W.J. Olver,
   "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, Providence, RI
was announced.

A preprint is available upon request.  Requests can be sent to:
   D.W. Lozier
   Applied and Computational Mathematics Division
   National Institute of Standards and Technology
   Gaithersburg, MD 20899
or
   dlozier@nist.gov
Please be sure to include a postal mailing address.



Topic #6  ----------------  OP-SF NET  ----------------  June 16, 1994
From: Tom H. Koornwinder <thk@fwi.uva.nl>
Subject: Formula list on Askey-Wilson polynomials and their limits

The following report has come out:

R. Koekoek and R.F. Swarttouw,
"The Askey scheme of hypergeometric orthogonal polynomials and its
q-analogue",
Report 94-05, Faculty of Technical Mathematics and Informatics,
Delft University of Technology, 120 pp.

For all classes of orthogonal polynomials fitting into the Askey
scheme or its q-analogue, the standard formulas are listed. Moreover,
a comprehensive list of limit formulas between the various classes is
given.  The authors still consider this paper as a preliminary
version. They solicit comments from readers for improvement.

For ordering information please contact Roelof Koekoek
<koekoek@dutiaw3.tudelft.nl>. However, the report is temporarily out
of stock.



Topic #7  ----------------  OP-SF NET  ----------------  June 16, 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 April 21 and June 15, 1994 the following additions were put in the
pub directory:

A. Iserles and S. Norsett, Biorthogonal polynomials and zero-mapping
     transformations. (see /ftp/pub/iserles/iserles2.tex+paper.sty)

A. Iserles and S. Norsett, Explicit representations of biorthogonal
     polynomials. (see /ftp/pub/iserles/iserles3.tex+paper.sty)

H. T. Koelink, Addition formula for big q-Legendre polynomials from
     the quantum SU(2) group. (see /ftp/pub/koelink.tex).

H. J. Haubold and A. M. Mathai, The determination of the internal structure
     of the sun by the density distribution. (see /ftp/pub/hm.tex)

C. Berg and M. E. H. Ismail, q-Hermite polynomials and classical orthogonal
     polynomials. (see /ftp/pub/berg-ismail.tex)

H. Dette, Characterizations of the generalized Hermite and sieved
    ultraspherical polynomials, (see /ftp/pub/herm.tex).

H. Dette, A note on some peculiar nonlinear extremal phenomena of
     the Chebyshev polynomials. (see /ftp/pub/tscheby.tex)

H. Dette, New bounds for Hahn and Krawtchouk polynomials.
     (see /ftp/pub/hahn.tex).

H. Dette and W. J. Studden, Some new asymptotic properties of the
    zeros of Jacobi, Laguerre and Hermite polynomials.
    (see /ftp/pub/zeros.tex).



Topic #8  ----------------  OP-SF NET  ----------------  June 16, 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 sixth issue of OP-SF Net should reach the email
address  poly@siam.org  before August 1, 1994.

Contributions to the Fall issue of the Orthogonal Polynomials and
Special Functions Newsletter should reach the Editor Eugene Tomer
before August 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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-  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.   -
-  Submissions with sufficiently long useful life will also be        -
-  considered automatically for our quarterly printed newsletter.     -
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-  Send submissions to:                      poly@siam.org            -
-  Send address changes to:                  poly-request@siam.org    -
-  Get back issues by anonymous ftp from:    ae.siam.org              -
-                                            (directory pub/opsf-net) -
-  Information on joining SIAM                                        -
-      and this activity group:              service@siam.org         -
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-      The Officers of the Activity Group are:                        -
-                                                                     -
-                  Charles Dunkl, Chair                               -
-                  George Gasper, Vice Chair                          -
-                  Tom H. Koornwinder, Secretary                      -
-                  Martin E. Muldoon, Program Director                -
-                  Eugene Tomer, Newsletter Editor                    -
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