Volume 1, Number 7




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-                                                                   -
-                                           September 26, 1994      -
-      O P - S F   N E T                    Volume 1, Number 7      -
-      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~      -
-      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. Fall issue of Newsletter
     2. Corrections to membership list
     3. SIAM Activity Groups membership statistics
     4. Sponsoring a minisymposium at ICIAM '95 (Hamburg)
     5. Special session "Identities and Enumeration", Richmond, VA
     6. Special session "Approximation Theory and Special Functions", Orlando
     7. Stieltjes Colloquium in Toulouse
     8. Lee Lorch Conference 1995
     9. Fields Institute two week program on Special Functions, etc.
    10. Report on workshop in Leganes, Spain
    11. Recent additions to ftp site on orthogonal polynomials and
        related special functions
    12. Obtaining back issues and contributing to future issues
        of OP-SF Net


Calendar of events:                                        see issue/topic:

1994
Oct.31-Nov.4: Thomas Stieltjes Conference, Delft                     1.2 #7
November 11-13: Special session "Identities and Enumeration"         1.7 #5
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
March 17-18: Session "Approximation Theory and Special Functions"    1.7 #6
March 20-22: Stieltjes Colloquium in Toulouse                        1.7 #7
June 9-10: Lee Lorch Conference 1995                                 1.7 #8
June 12-23: Fields Institute program on Special functions etc.       1.7 #9



Topic #1  --------------  OP-SF NET  -------------  September 26, 1994
From: Eugene Tomer <etomer@netcom.com>
Subject: Fall issue of Newsletter

The Fall issue of the Activity Group Newsletter has unfortunately
been delayed by a couple of weeks.  It has taken extra time for the
Editor to organize the summaries of the Minisymposium talks given
last July in San Diego.


Topic #2  --------------  OP-SF NET  -------------  September 26, 1994
From: Allison Bogardo <siam@siam.org>
Subject: Corrections to membership list

The appropriate person to be contacted for corrections to the activity
group's membership directory is Marta Lafferty.  Her e-mail address is:
lafferty@siam.org



Topic #3  --------------  OP-SF NET  -------------  September 26, 1994
From: Bernadette DiLisi <dilisi@siam.org>
Subject: SIAM Activity Groups membership statistics

Just for comparison it may be interesting to look at the following table
concerning the SIAM Activity Groups

                  SIAG
Activity Group    Approved    Membership    Q. Newsletter    Elec. Net
--------------    --------    ----------    -------------    ---------

Linear Algebra     1982         632         (semi-annual)     Yes
Supercomputing     1984         999         No                Yes
Discrete Math.     1984         635         Yes               No

Optimization       1985         646         (occasional)      No
Control & Sys.     1986         453         Yes               No
Dynamical Sys.     1988         592         No                Yes

Geo. Design        1990         217         No                No
OP & SF            1990         171         Yes               Yes
Geosciences        1991         284         (occasional)      No
                               ----
                       Total   4629



Topic #4  --------------  OP-SF NET  -------------  September 26, 1994
From: Martin Muldoon <muldoon@mathstat.yorku.ca>
Subject: Sponsoring a minisymposium at ICIAM '95 (Hamburg)

Tentatively, the following minisymposium at ICIAM Hamburg will be
sponsored by our Activity Group.

ICIAM 95, Hamburg, July 3-7, 1995
Minisymposium "Orthogonal Polynomials and Spectral Methods"

Classification No.: 102

Organizers: Francisco Marcellan (EPS Carlos III, Madrid, Spain) and
Andre Ronveaux (Facultes Universitaires N.D. de la Paix, Namur, Belgium)

Description:
There has been much recent research on orthogonality with respect to
Sobolev inner products.  The analysis of spectral problems for
ordinary differential operators, the asymptotic estimates for the
corresponding eigenfunctions as well as the location and properties of
their zeros constitute some new directions in this research.  These
methods can be used in the design of pseudospectral methods for the
discretization of parabolic partial differential equations as well as
for the design of efficient algorithms for approximation by
polynomials in the underlying Sobolev space.

Speakers:

Arieh Iserles, University of Cambridge, England: (Tentative title)
"Sobolev-orthogonal polynomials and pseudospectral methods for
parabolic PDE's"

Walter van Assche, Katholieke Universiteit Leuven, Belgium:
"Direct and inverse problems for Sobolev orthogonal polynomials"

Marcel de Bruin, Delft University of Technology, The Netherlands:
"Sobolev-orthogonal polynomials and their zeros".

Other speakers to be announced.



Topic #5  --------------  OP-SF NET  -------------  September 26, 1994
From: Charles F. Dunkl <cfd5z@fermi.clas.virginia.edu>
Subject: Special session "Identities and Enumeration", Richmond, VA

At the AMS meeting in Richmond, Virginia, November 11-13, 1994 Doron
Zeilberger will give an invited address with title `='.  Furthermore,
Rodica E. Simion and Doron Zeilberger will organize there a special
session on "Identities and Enumeration".  Below the net editor has
made a selection from the list of speakers and titles in this special
session, with emphasis on what seems relevant for the readership of
this Net.

George Andrews
Pennsylvania State University
``Pfaff's method and the WZ method''

Stephen Milne and Gaurav Bhatnagar
Ohio State University
``U(n+1) bibasic summation formulas''

Gaurav Bhatnagar and Stephen Milne
Ohio State University
``U(n+1) bibasic hypergeometric series''

Gert Almkvist
Lund University, Sweden
``The coefficients of $\prod_{n=1}^{\infty}{(1-x^n)^{\mu(n)}}$''

Richard Askey
University of Wisconsin
``Identities and education''

Shaun Cooper
University of Wisconsin
``An inverse of the Wilson difference operator''

Robert Gustafson and Christian Krattenthaler
Texas A&M University
``Heine transformations for a new kind of basic hypergeometric series in U(n)''

Charles Dunkl and Philip Hanlon
University of Virginia
``Integrals of polynomials associated with tableaux''

Miller Maley
Princeton University
``A new formula for Hall polynomials''

Lynne Butler
Haverford College
``The monitonicity conjecture for Macdonald's two variable Kostka functions''



Topic #6  --------------  OP-SF NET  -------------  September 26, 1994
From: Xin Li <fdli@ucf1vm.cc.ucf.edu>
Subject: Special session "Approximation Theory and Special Functions", Orlando

Ram N. Mohapatra and Xin Li will organize a special session on
Approximation Theory and Special functions in the AMS southeastern
meeting to be held at the University of Central Florida, Orlando,
March 17-18, 1995. Anyone who is interested in giving a 20 min. talk
is welcome to contact us at fdli@ucf1vm.cc.ucf.edu or
fdli@ucf1vm.bitnet or write to us at Department of Mathematics,
University of Central Florida, Orlando, FL 32816. Here is a partial
list (as of 9/16/1994) of the names of people who agreed to give a
talk in the special session:
   A. Govil        Matthew He        Mourad E. H. Ismail
   T. Kilgore      F. Marcellan      D. Masson
   K. Pan          Q. I. Rahman      E. B. Saff
   D. Stanton      A. K. Varma



Topic #7  --------------  OP-SF NET  -------------  September 26, 1994
From: J.-B. Hiriart-Urruty <jbhu@cict.fr>
Subject: Stieltjes Colloquium in Toulouse
(with some additions by the net editor)

The Stieltjes Colloquium to be held in Toulouse from 20 to 22 March
1995 is one of the main events organized during the academic year
1994-1995 to commemorate the 100th anniversary of the death of Thomas
J. Stieltjes (on December 31,1894, in Toulouse). The topics covered by
this conference will highlight later developments in topics on which
Stieltjes has worked, more specifically: continued fractions and
orthogonal polynomials; measures on the real line, moment problems;
Laplace, Fourier, Stieltjes transforms; approximation, quadratures.
Six plenary talks will be delivered:

C. Berg: Moment problems and polynomial density
J. Dhombres and J.-B. Pecot: Les relations d'orthogonalite depuis 1750
J.-P. Kahane: La multiplication des series de Dirichlet, depuis Stieltjes
T.W. Korner: Via measures to universal Fourier series.
J. Korevaar: Electrostatic fields due to distribution of electrons
H. Stahl: Pade approximants to algebraic functions.

Furthermore there will be contributed lectures. Abstracts of at most
two pages have to be sent before November 1, 1994 to the local
organizing committee.  The final selection will be made by the
International Scientific Committee consisting of C. Berg,
C. Brezinski, M.G. de Bruin, J. Dhombres, J.P. Kahane, G. van Dijk and
W.T. van Est.

The address for submission of abstracts and for information about
participation is:

        Prof. J.-B. Hiriart-Urruty
        Groupe d'Histoire des Mathematiques
         de l'Universite Paul Sabatier
        118, Route de Narbonne
        31062 Toulouse, France
        fax +33-6155 6183
        email: jbhu@cict.fr



Topic #8  --------------  OP-SF NET  -------------  September 26, 1994
From: Martin Muldoon <muldoon@mathstat.yorku.ca>
Subject: Lee Lorch Conference 1995

Lee Lorch Conference 1995

A conference on "Special Functions and Related Topics in Analysis"
will be held at York University, North York (Metropolitan Toronto),
Ontario, Canada on Friday and Saturday, June 9 - 10, 1995.
It will be dedicated to Lee Lorch on his forthcoming 80th birthday
(September 20, 1995).

This meeting will follow the 50th Anniversary Meeting of the
Canadian Mathematical Society to be held at the University of
Toronto during June 5-9 and will precede the Program on q-Series
and Special Functions to be held at the Fields Institute, Toronto
during June 12-23 (see Topic #9).

The conference will be devoted to those topics in analysis (Fourier
Analysis, Summability Theory, Special Functions, Ordinary
Differential Equations, ...) to which Lee Lorch has made particular
contributions.  It will also honour his lifelong dedication to the
struggle for civil rights and for equal educational opportunities
for women and minority groups.

The following is a tentative and incomplete list of speakers:

Mark Ashbaugh (Missouri)
Richard Askey (Wisconsin)
Chandler Davis (Toronto)
James A. Donaldson (Howard U.)
Mary Gray (American U.)
Mourad Ismail (U. of South Florida),
Jean-Pierre Kahane (Paris-Orsay)
Amram Meir (York U.)
A. McD. Mercer (U. of Guelph)
Angelo Mingarelli (Carleton U.)
Donald J. Newman (Temple U.)
Cora Sadowsky (Howard U.)
Walter Van Assche (Katholieke Universiteit Leuven)
Roderick Wong (City Polytechnic of Hong Kong)
...

The organizing committee consists of
Mourad Ismail (U. of South Florida),
David Masson (U. of Toronto),
Martin Muldoon (York U.),
Roderick Wong (City Polytechnic of Hong Kong) and
Asia Ivic Weiss (York U.).

For further information, please contact:
Martin Muldoon
Department of Mathematics and Statistics
York University, North York, Ontario M3J 1P3, Canada
e-mail: muldoon@mathstat.yorku.ca
tel: (416) 736-5250
fax: (416) 736-5757



Topic #9  --------------  OP-SF NET  -------------  September 26, 1994
From: David Masson <masson@math.toronto.edu>
Subject: Fields Institute two week program on Special Functions, etc.

                  Preliminary Announcement

                     Two week program on
       Special Functions, q-Series and Related Topics

                      Fields  Institute
                    University of Toronto
                  Toronto, Ontario, Canada

                      June 12-23, 1995.

               Conference Advisory Committee:
        G. E. Andrews (Pennsylvania State University)
         R. Askey (University of Wisconsin, Madison)
    C. F. Dunkl (University of Virginia, Charlottesville)
    M. E. H. Ismail (University of South Florida, Tampa)
          T. H. Koornwinder (University of Amsterdam)
            D. R. Masson (University of Toronto)
               M. Rahman (Carleton University)
         S. K. Suslov (Kurchatov Institute, Russia)
              D. Zeilberger (Temple University)

The  First  week  (June 12-16) will consist  of  five  mini-
courses  (three  to  four hours of  lectures  each)  on  the
topics:

     1. q-Series
     2. Orthogonal Polynomials
     3. Asymptotics of Orthogonal Polynomials
     4. Computer Algebra and Special Functions
     5. Quantum Groups and q-Special Functions

Professor Walter Van Assche (orthogonal polynomials)
     Katholieke Universiteit Leuven

Professor Paul Nevai (asymptotics of orthogonal polynomials)
     Ohio State University

Professor George Gasper (q-series)
     Northwestern University

Professor Tom Koornwinder (quantum groups and q-special functions)
     University of Amsterdam

Professor Doron Zeilberger (computer algebra and special functions)
     Temple University

In  the  second week (June 19-23) there will be  a  Workshop
concentrating on the following research topics in relation to
special functions and q-series (a  different
emphasis for each day):

     1. Orthogonal Polynomials and Special Functions
     2. Multivariable Theory
     3. Number Theory and Combinatorics
     4. Computer Algebra
     5. Quantum Groups and Representation Theory

For  each  topic there will be three invited  speakers  (one
hour talks) and a selection of contributed papers.

Invited Speakers for Week 2 (June 19-23):

Professor Krishnaswami Alladi (University of Florida)
Professor Bruce C. Berndt (University of Illinois)
Professor Peter Borwein (Simon Fraser University)
Professors David and Gregory Chudnovsky (Columbia University)
Professor Pavel I. Etingof ( Harvard University)
Professor I. M. Gelfand (Rutgers University)
Dr. R. Wm. Gosper (Symbolics, Inc)
Professor Robert A. Gustafson (Texas A&M University)
Professor D. M. Jackson (University of Waterloo)
Professor A. Klimyk (Academy of Sciences of the Ukrain)
Dr. Hendrik T. Koelink (Katholieke Universiteit, Belgium)
Professor Christian Krattenthaler (Vienna University)
Professor M. Noumi (University of Tokyo)
Professor E. Opdam (University of Leiden, The Netherlands)
Professor Peter Paule (Johannes Kepler University, Austria)

For  more information, or to receive registration materials,
please contact:

     Sheri Albers, The Fields Institute
     185 Columbia Street West
     Waterloo, Ontario  N2L 5Z5  Canada
     Ph: (519) 725-0096  Fax: (519) 725-0704
     e-mail: spfunct@fields.uwaterloo.ca


Note: This event will follow the CMS 50th anniversary meeting (U.  of
T., June 4-8, 1995) and a conference on Special Functions and Related
Topics in Analysis ( York University, June 9-10,1995).  The York U.
conference is dedicated to Lee Lorch on his forthcoming 80th birthday.
See Topic #8.



Topic #10  --------------  OP-SF NET  -------------  September 26, 1994
From: Marcel de Bruin <debruin@twi.tudelft.nl>
Subject: Report on workshop in Leganes, Spain

A four day ``Workshop on Orthogonal Polynomials on the Unit Circle:
Theory and Applications''  was hosted by the Departamento de
Ingenieria, Universidad Carlos III, in its new building in
Leganes, near Madrid, Spain.  This took place during June 27-30,
1994.

Organization was in the able hands of Paco Marcellan who invited a
group of experts. Each expert gave two one-hour lectures to form the
core of the workshop:

Adhemar Bultheel (Katholieke Universiteit, Leuven, Belgium):
   1) Orthogonality on the unit circle: generalizations and new developments
   2) Orthogonal rational functions and applications.

Leonid Golinskii (Ukrainian Academy of Sciences, Kharkov, Ukraine):
   1) Measures on the unit circle, orthogonal polynomials and reflection
      coefficients
   2) Schur functions, Schur parameters and orthogonal polynomials on
      the unit circle.

Xin Li  (University of Central Florida, Orlando, USA):
   Asymptotics of polynomials orthogonal with varying measures I, II.

Franz Peherstorfer (Johannes Kepler Universitat, Linz, Austria):
   Perturbed orthogonal polynomials: explicit representations and
   asymptotics I. II.

Lothar Reichel (Kent State University, Kent, USA):
   1) The eigenvalue problem for unitary matrices and applications to
      signal theory
   2) Least squares approximation by trigonometric polynomials.

Walter Van Assche (Katholieke Universiteit, Leuven, Belgium):
    1) Spectral theory and Rakhmanov's theorem for orthogonal
       polynomials on the unit circle
    2) Orthogonal matrix polynomials on the unit circle and applications.

Then the program was rounded out with eight one-hour lectures
given by:

  A. Cachafeiro  (Vigo, Spain)
  D. Calvetti  (Hoboken, USA)
  P. Gonzalez-Vera  (La Laguna, Spain)
  F. Marcellan  (Madrid, Spain)
  D. Pena  (Madrid, Spain)
  P.E. Ricci  (Roma, Italia)
  R. Steinbauer  (Linz, Austria)
  F.H. Szafraniec  (Krakow, Poland)

In addition, Xin Li chaired a session on open problems.
This workshop was attended by approximately fifty people
from eleven countries.



Topic #11  --------------  OP-SF NET  -------------  September 26, 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 August 1 and September 5, 1994 the following additions were
put in the pub directory:

N. M. Temme, Asymptotics of zeros of incomplete gamma functions.
    (see /ftp/pub/temme.ps)

G. Gasper and W. Trebels, On a restriction problem of de Leeuw type
    for Laguerre multipliers. (see /ftp/pub/gasper/gasper-trebels.tex)

G. Gasper, K. Stempak and W. Trebels, Fractional integration for Laguerre
    expansions. (see /ftp/pub/gasper/gasper-stempak-trebels.tex).



Topic #12  --------------  OP-SF NET  -------------  September 26, 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 OP-SF Net 1.8 should reach the email
address  poly@siam.org  before November 1, 1994.

Contributions to the Winter issue of the Orthogonal Polynomials and
Special Functions Newsletter should reach the Editor Eugene Tomer
before November 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         -
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
-      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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