OP-SF Net Volume 8 Number 4





-----Original Message-----
From: mailer@siam.org [mailto:mailer@siam.org]
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Subject: OP-SF Net Volume 8 Number 4






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                                                 July 15, 2001

       O P - S F   N E T                    Volume 8, Number 4
       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       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. From the Editor
     2. Message from the Chair
     3. Patras Conference on Differential, Difference Equations
               and Applications
     4. 2002 Summer school in Leuven, Belgium
     5. Article by Michael Berry
     6. Honorary Doctorate for Ian Macdonald
     7. Eduardo Sontag Wins Reid Prize
     8. OP-SF preprints in xxx archive
     9. About the Activity Group
    10. Submitting contributions to OP-SF NET and Newsletter

Calendar of Events:

2001

July 9-22: Summer School in Asymptotic Combinatorics,
              St. Petersburg, Russia                               7.6 #3
August 6-10: "2001: A Mathematics Odyssey: Analytic theory of
      continued fractions, orthogonal functions and related topics,
       Grand Junction, Colorado, USA                       7.4 #5, 8.3 #3
August 20-24: 3rd International meeting on Approximation
                 Theory, Dortmund, Germany                         7.4 #6
September 17-21: Summer School on Orthogonal Polynomials, Harmonic
             Analysis, Approximation and Applications,
              Inzell, Germany                                      8.3 #4
October 1-5: "Numerical Algorithms", Conference in Honor of Claude
                  Brezinski, Marrakesh, Morocco                    7.3 #3
October 28 - November 2: Workshop on Mathematical Physics,
                 Porto-Novo, Benin                                 8.2 #6

2002

July 1-2: International Conference on Differential, Difference
           Equations and their Applications. Patras, Greece        8.4 #3
July 8-12 - SIAM 50th Anniversary & Annual Meeting
                  Philadelphia, Pennsylvania, USA
                 http://www.siam.org/meetings/an02/
             including an Activity Group minisymposium
July 22 - August 2: IMA Summer Program "Special Functions in the
              Digital Age" Minneapolis, Minnesota, USA            8.2 #7
August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of
              Computational Mathematics" Minneapolis,
              Minnesota, USA                                      8.1 #1
August 12-17, 2002: Summer school in Orthogonal Polynomials and
              Special Functions, Leuven, Belgium                  8.4 #4

Future plans:
There are plans to organize a summer school on Orthogonal Polynomials and
Special
Functions in Portugal in July 2003 (July).  (Contact person: Amilcar
Branquinho).
This is in the series Inzell, 2001 (OP-SF NET 8.3, Topic #3), and Leuven, 2002
(OP-SF NET 8.4, Topic #4). The coordinator of the three summer schools is Erik
Koelink (koelink@dutiaw4.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 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: From the Editor

More than 140 members of the OP-SF community enjoyed the 6th International
Symposium on Orthogonal Polynomials, Special Functions and Applications held at
Lido di Ostia, near Rome, June 18-22.  Many thanks to the local organizers
Andrea
Laforgia, Paolo Emilio Ricci, Pierpaolo Natalini, Fabrizio Pascucci, Gino
Palumbo
and members of the staffs of Universita di Roma Tre and Universita di Roma "La
Sapienza" for an excellent program and for ensuring that all went smoothly.  We
hope to have a more detailed report in our next issue.

As mentioned by Daniel in the Message from the Chair (Topic #2), we have
elections this year for the officers of the group.  We also welcome suggestions
and volunteers for positions as editor for OP-SF NET and the printed Newsletter.
It seems to me that we might consider an arrangement where there is an editorial
group (we already have it informally to some extent) whose membership might
change from time to time but which not require anybody to suddenly "take over"
when there is a vacancy.  If you have ideas along these lines or would like to
help out please contact me or any of the officers.



Topic #2  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
From: Daniel Lozier <daniel.lozier@nist.gov>
Subject: Message from the Chair

Two recent meetings of interest to our activity group have taken place.

The first was a meeting of our members and officers who were present at the
Sixth International Symposium on Orthogonal Polynomials, Special Functions
and Applications (OPSFA), held last month in Ostia near Rome, Italy.  All
four officers and a dozen members attended.  The second was a meeting, which
I attended, of the SIAM activity group chairpersons that SIAM conducted on
July 11 at its annual meeting in San Diego.

1.  One item of discussion at the OPSFA meeting was nomination of candidates
for the upcoming election for Chair, Vice-Chair, Secretary and Program
Director.  According to our SIAM charter, a nominating committee will
develop the slate of candidates and SIAM will conduct the election later
this year.  The nominating committee consists of Dan Lozier, Walter Van
Assche, Paco Marcellan, Charles Dunkl, Martin Muldoon and Renato
Alvarez-Nodarse.  The newly elected officers will serve for 3 years starting
on January 1, 2002.  If you know someone who would like to serve as an
officer, including yourself, please let me know by August 3.

Then the current and future activity group program was discussed.  Two definite
program events are on the calendar.  The Summer School on Orthogonal
Polynomials,
Harmonic Analysis, Approximations and Applications, will be held at Inzell,
Bavaria, September 17-21, 2001.  Information can be obtained from OP-SF NET 8.3,
Topic #3 or from http://www.gsf.de/ibb/ag1/summerschool.  A special lecture and
minisymposium will be sponsored by our group at the 2002 SIAM Annual Meeting, to
be held July 8-12, in Philadelphia.  Nico Temme will present the special
lecture,
and he is working with Paco Marcellan, our Program Director, to develop the
minisymposium.  SIAM is planning special events at this meeting to celebrate its
50th anniversary and to highlight the activity groups.

2.  The purpose of the second meeting was to examine and strengthen the
relationship between SIAM and the activity groups.  Some interesting
background information was provided about the SIAM annual meetings:  usually
about 1000 people attend; a large fraction are not members of SIAM; almost
all SIAM members who attend are speakers; and student participation is about
18% on average.  SIAM reaches out to students by sponsoring chapters at
universities and by offering a reduced membership rate for students.  Also,
students can apply for travel grants to attend SIAM meetings.  Future annual
meetings may include more professional activities, such as job fairs.

SIAM intends to hire a staff coordinator to work with the activity groups.  An
early project is to develop an activity group presence at the main SIAM Web
site.  John Guckenheimer, past president of SIAM, is helping establish the
first of these (DS-Web) for the dynamical systems activity group.

SIAM is seeking to increase participation of the activity groups in the
governing of SIAM, for example by circulating proposed nominations for SIAM
offices to the groups for comments and recommendations.

Privately I raised several issues of concern to our group with Jim Crowley,
SIAM Executive Director.  One was the question of editorial direction at the
SIAM Journal on Mathematical Analysis.  Jim expressed his desire to satisfy
our needs for adequate representation on the editorial board and in the
stated scope of the journal.  He suggested directly approaching the chief
editor, Walter Strauss, about these matters.  Another issue was the
possibility of SIAM financial support to help one or two students attend our
Summer Schools, such as the one in Inzell.  Jim supports the idea in
principle; of course we will need to prepare a proposal to SIAM.  Finally, I
raised the idea of establishing a prize for a thesis, or paper published
within a few years of the thesis, in the area of orthogonal polynomials and
special functions.  This was discussed at the OPSFA meeting, where the
following tentative particulars emerged: the prize would be offered on a
3-year cycle; it would be called the Szego Prize; it would be awarded and
the recipient would present a paper at the SIAM annual meeting; and the
recipient would recieve complimentary annual meeting registration and a cash
award of $500.  Jim supported this idea enthusiastically.  The next step is
to prepare an application to SIAM stating the goals and purposes and
guidelines for selection.  I think this should be a priority next year for
the new officers of our group.



Topic #3  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
From: Panos Siafarikas <panos@math.upatras.gr>
Subject: Patras Conference on Differential, Difference Equations
               and Applications

[From the web site:
http://thalis.math.upatras.gr/~panos/EnglVersion/Webpage/icddea.html]

                 INTERNATIONAL CONFERENCE ON DIFFERENTIAL,
               DIFFERENCE EQUATIONS AND THEIR APPLICATIONS
  Dedicated to Professor E. K. Ifantis, on the occasion of his sixty-seventh
                                 birthday.
                      July 1 – 5, 2002, Patras, Greece.

                            FIRST ANNOUNCEMENT
Dear colleague,
    On July 1–5, 2002 an international conference on differential, difference
equations and their applications (ICDDEA, in short) will be held in Patras,
Greece, at the Conference and Cultural Hall of the University of Patras. The
conference is dedicated to Professor Evangelos K. Ifantis, who has worked in the
above mentioned areas of mathematics, on the occasion of his sixty – seventh
birthday,

     The main subjects of ICDDEA will include:

    Ordinary Differential Equations.
    Partial Differential Equations.
    Ordinary Difference Equations.
    Partial Difference Equations.
    Applications.

     The scientific program will consist of some plenary lectures of 1 hour,
some invited lectures of 30 minutes and short communications of 20 minutes.
The second circular, to be distributed by the end of November 2001, will
give detailed information about it.

     The cost of attendance is expected to be very reasonable. The following
estimates are subject to change but it is anticipated that the registration fee
will be around 240 Euro. For students, under formal verification, a reduced
registration fee will be applied. The registration fee, for all registered
participants, will include the lunches from 1 July to 5 July, the admission to
the Conference, a copy of the book of abstracts, a copy of the Proceedings,
transportation between the hotels and the conference site, reception and
participation in some social events (welcome dinner, official reception, a visit
to the archaeological site of Delfi, etc).

     To help us with the organisation of the Conference, we would appreciate it
if you, already at this early stage, could indicate your potential attendance in
the preliminary registration. If you are interested in participating, please
fill
out the preregistration form (at the web site or available from the organizers)
and return it as soon as possible (by ordinary mail, fax or e-mail) and, in any
case, not later than October 15, 2001 to the Conference Mailing Address:

         INTERNATIONAL CONFERENCE ON DIFFERENTIAL, DIFFERENCE
                   EQUATIONS AND THEIR APPLICATIONS
             Department of Mathematics (to Prof. P. D. Siafarikas)
                             University of Patras
                                26500 Patras
                                   Greece
Tel. - Fax: +(3) 061 997169
E-Mail: icddea@math.upatras.gr

     The Conference will be held at the Conference and Cultural Hall of the
University of Patras, located at the University Campus which is 7 km from
downtown of the city of Patras and 3 km from Rio region, where there are
many hotels which the participants could choose to stay.

    The Local Organizing Committee consists of:
C. Kokologiannaki (Department of Mathematics, University of Patras)
P. Siafarikas (Department of Mathematics, University of Patras)
A. Vourdas (Department of Electrical Engineering, University of Patras)


     Patras may be reached easily by car, bus and train from Athens (220 km)
or directly by many daily boats from Italy (Bari, Ancona, Brindisi, Venice).

     Looking forward to seeing you in Patras.

     Panayiotis D. Siafarikas
     Professor
     Chairman of the Organizing Committee

[The web site has further information about Patras - Ed.]



Topic #4  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
From: Erik Koelink <koelink@dutiaw4.twi.tudelft.nl>
Subject: 2002 Summer school in Leuven, Belgium

Summer school in Orthogonal Polynomials and Special Functions

>From August 12-17, 2002, a summer school in Orthogonal Polynomials and Special
Functions takes place at the Katholieke Universiteit Leuven, Belgium. This
summer
school is the third in a series after Laredo (Spain), 2000, and Inzell
(Germany),
September 17-21, 2001 (see
  http://www.gsf.de/ibb/ag1/summerschool/

The lecturers for the Leuven summer school are:
Wolfram Koepf (Kassel): Computer Algebra Algorithms
   for Orthogonal Polynomials and Special Functions
Arno Kuijlaars (Leuven): Riemann-Hilbert Analysis of
   Orthogonal Polynomials
Adri Olde Daalhuis (Edinburgh): Exponential Asymptotics
Dennis Stanton (Minnesota): TBA
Joris Van der Jeugt (Gent): TBA

The school is organised by Walter Van Assche and Erik Koelink. More information
on the 2002 Leuven summer school can be found at

  http://aw.twi.tudelft.nl/~koelink/opsf2002.html

and will also be announced in the OP-SF NET and Newsletter.



Topic #5  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
Sender: Tom Koornwinder <thk@science.uva.nl>
Subject: Article by Michael Berry

Someone put in my mailbox a copy of the article

Michael Berry, Why are special functions special?, Physics Today 54
(2001), no.4, 11-12.

It is also on the web:
http://physicstoday.org/pt/vol-54/iss-4/p11.html

I can recommend it very much. Michael tells physicists about the
importance of special functions for physics, and he is promoting the
DLMF-project (successor to Abramowitz and Stegun).

		Tom Koornwinder
		thk@science.uva.nl



Topic #6  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~

From: Tom Koornwinder <thk@science.uva.nl>
Subject: Honorary Doctorate for Ian Macdonald

On 8 January 2002, at the celebration of its 370th anniversary, the University
of
Amsterdam is to grant honorary doctorates to the Dutch art historian Eddy de
Jongh, the English mathematician Ian G. Macdonald, and Arthur Chaskalson, the
president of the Constitutional Court of South Africa.

See the English translation of the official press release on webpage

http://cf.bc.uva.nl:80/english/about.the.uva/news2.html

The part on Macdonald is given below. This can also be found, with links, on

http://www.science.uva.nl/research/math/news/macdonald.html


                         Eric Opdam and Tom Koornwinder

---------------------------------------------------------------

Ian Macdonald

Ian Macdonald (1928) is working in pure mathematics, in particular group theory,
algebraic combinatorics and the theory of special functions. Remarkable features
of his work are its great originality and an almost infallible intuition for
posing fundamental research questions. Macdonald has become famous amongst
mathematicians a.o. by his book 'Symmetric functions and Hall polynomials' and
by
the introduction of the Macdonald polynomials.

'Symmetric functions and Hall polynomials' (1979, much extended second edition
in
1995) is a standard reference book about the representation theory of the
symmetric group and its many combinatorical, algebraic and group theoretical
applications. In 'Affine root systems and Dedekind's eta-function' (Inventiones
Mathematicae 15, 1972) he establishes a connection between a number theoretical
observation by the physicist Freeman Dyson and the theory of simple Lie
algebras.
In 'Some conjectures for root systems' (SIAM Journal on Mathematical Analysis
13,
1982) Macdonald formulates some conjectures about the combinatorical properties
of so-called root systems. In 1987/88 he defines a class of symmetric functions,
and more generally a class of polynomials associated with root systems, which
are
now both known as Macdonald polynomials (see 'A new class of symmetric
functions'
and 'Orthogonal polynomials associated with root systems' in Seminaire
Lotharingien Combinatoire 20, 1988 and 45, 2000). The impact of these
polynomials, both in mathematics and in theoretical physics, has been enormous.

Ian Macdonald started his scientific career in 1957 as a lecturer in mathematics
at the University of Manchester. Until his retirement in 1987 Macdonald has
worked during many years as a professor at Queen Mary College in London. Since
his retirement he has remained active in research with publications and
lectures.



Topic #7  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: Eduardo Sontag Wins Reid Prize

     SIAM has announced that its 2001 W.T. and Idalia Reid Prize in
     Mathematics will be awarded to Professor Eduardo Sontag of Rutgers
     University.  The prize is awarded for research in, or other
     contributions to, the broadly defined areas of differential equations
     and control theory.  The selection committee (comprised of John A.
     Burns as chair, Ruth F. Curtain, James G. Glimm, and John
     Guckenheimer) cited Sontag's many contributions to nonlinear control
     theory.

     Professor Sontag will receive the Reid Medal and a $10,000 cash award
     at the SIAM Annual Meeting in San Diego in July.  Sontag will deliver
     the Reid lecture on Wednesday, July 11, at 5:20 p.m. in the Town and
     Country Room of the Town and Country Resort Hotel.  The title of his
     talk will be "The central themes of systems and control theory, and
     their role in postgenomic molecular biology."

     The prize is named for William T. and Idalia Reid, William T. having
     been a renowned mathematics professor at the University of Chicago,
     Northwestern University, University of Iowa, and University of
     Oklahoma. Previous Reid Prize recipients are Wendell H. Fleming, Roger
     W. Brockett, Constantine M. Dafermos, and the late Jacques-Louis
     Lions.


Topic #8  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: OP-SF preprints in xxx archive

The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
 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

math.QA/0105002
From: S. Ole Warnaar <warnaar@ms.unimelb.edu.au>
Date: Tue, 1 May 2001 06:57:14 GMT   (22kb)
Partial theta functions. I. Beyond the lost notebook
Authors: S. Ole Warnaar
Comments: 30 pages, AMS-LaTeX
Subj-class: Quantum Algebra; Combinatorics
MSC-class: 05A30; 33D15; 33D90

math.NT/0105003
From: Balan <balan@paris7.jussieu.fr>
Date: Tue, 1 May 2001 13:33:13 GMT   (4kb)
Formules pour les nombres premiers
Authors: A.Balan
Comments: In french
Subj-class: Number Theory; General Mathematics
Paper: Source (4kb), PostScript, or Other formats

math.CO/0105030
From: Laura Felicia Matusevich <laura@math.berkeley.edu>
Date: Thu, 3 May 2001 22:52:43 GMT   (30kb)
A-hypergeometric systems and embedded primes
Authors: Laura Felicia Matusevich
Subj-class: Combinatorics; Algebraic Geometry
Paper: Source (30kb), PostScript, or Other formats

math.QA/0105061
From: Bogdan Ion <bogdan@math.princeton.edu>
Date: Tue, 8 May 2001 21:09:50 GMT   (14kb)
Nonsymmetric Macdonald polynomials and Demazure characters
Authors: Bogdan Ion
Comments: 15 pages
Subj-class: Quantum Algebra; Representation Theory
Paper: Source (14kb), PostScript, or Other formats

math.CA/0105093
From: Jasper V. Stokman <jstokman@wins.uva.nl>
Date (v1): Fri, 11 May 2001 12:57:05 GMT   (22kb)
Date (revised v2): Thu, 17 May 2001 12:00:42 GMT   (23kb)
An expansion formula for the Askey-Wilson function
Authors: Jasper V. Stokman
Comments: 24 pages. Some remarks added in section 6 on the connection with
moment
problems
Subj-class: Classical Analysis; Quantum Algebra
MSC-class: 33D45; 33D80
Paper: Source (23kb), PostScript, or Other formats

math.QA/0105117
From: Erik Koelink <koelink@dutiaw4.twi.tudelft.nl>
Date: Tue, 15 May 2001 07:53:48 GMT   (61kb)
A locally compact quantum group analogue of the normalizer of SU(1,1) in SL(2,C)
Authors: Erik Koelink, Johan Kustermans
Comments: 48 pages, 1 figure
Subj-class: Quantum Algebra; Operator Algebras
MSC-class: 46L89, 33D80
Paper: Source (61kb), PostScript, or Other formats

math.NT/0105120
From: Jean-Francois Burnol <burnol@math.unice.fr>
Date: Tue, 15 May 2001 13:56:26 GMT   (10kb)
Sur certains espaces de Hilbert de fonctions entieres, lies a la transformation
de Fourier et aux fonctions L de Dirichlet et de Riemann
Authors: Jean-Francois Burnol
Comments: 10 pages. In french with an english summary
Subj-class: Number Theory
Paper: Source (10kb), PostScript, or Other formats

hep-th/0105107
From: Pierre Mathieu <pmathieu@phy.ulaval.ca>
Date: Fri, 11 May 2001 17:45:05 GMT   (20kb)
Jack superpolynomials, superpartition ordering and determinantal formulas
Authors: P. Desrosiers, L. Lapointe, P. Mathieu
Comments: Latex 2e, 20 pages
Subj-class: High Energy Physics - Theory; Mathematical Physics; Quantum Algebra;
Exactly Solvable and Integrable Systems
Paper: Source (20kb), PostScript, or Other formats

math-ph/0105002
From: "R. Jaganathan" <jagan@imsc.ernet.in>
Date: Wed, 2 May 2001 11:26:36 GMT   (16kb)
Some introductory notes on quantum groups, quantum algebras, and their
applications
Author: R. Jaganathan (The Institute of Mathematical Sciences, India)
Comments: 23 pages, LaTeX2e - To appear in the Proceedings of a Programme on
Quantum Groups and their Applications held at the Ramanujan Institute for
Advanced Study in Mathematics, University of Madras, India
Report-no: IMSc/2001/24
Subj-class: Mathematical Physics; Quantum Algebra
Paper: Source (16kb), PostScript, or Other formats

math-ph/0105007
From: Krzysztof Maslanka <maslanka@oa.uj.edu.pl>
Date: Fri, 4 May 2001 14:54:15 GMT   (4kb)
Hypergeometric-like Representation of the Zeta-Function of Riemann
Authors: Krzysztof Maslanka
Subj-class: Mathematical Physics
Paper: Source (4kb), PostScript, or Other formats

math-ph/0105030
Date: Wed, 23 May 2001 12:37:43 GMT   (11kb)
Elliptic and Hyperelliptic Solutions of Discrete Painlev\'e I and Its Extensions
to Higher Order Difference Equations
Authors: Shigeki Matsutani
Comments: AMS-TeX, 9 pages
Subj-class: Mathematical Physics; Algebraic Geometry; Number Theory
Paper: Source (11kb), PostScript, or Other formats

math-ph/0105031
Date: Wed, 23 May 2001 12:38:38 GMT   (9kb)
Recursion Relation of Hyperelliptic Psi-Functions of Genus Two
Authors: Shigeki Matsutani
Comments: AMS-TeX, 10 pages
Subj-class: Mathematical Physics; Algebraic Geometry; Number Theory
Paper: Source (9kb), PostScript, or Other formats

math-ph/0105032
Date: Wed, 23 May 2001 12:42:19 GMT   (11kb)
Soliton Solutions of Korteweg-de Vries Equations and Hyperelliptic Sigma
Functions
Authors: Shigeki Matsutani
Comments: AMS-TeX, 11 pages
Subj-class: Mathematical Physics; Algebraic Geometry; Analysis of PDEs
Paper: Source (11kb), PostScript, or Other formats

nlin.CD/0105048
From: Matthias Brack <matthias.brack@physik.uni-regensburg.de>
Date (v1): Tue, 22 May 2001 07:44:24 GMT   (418kb)
Date (revised v2): Sat, 9 Jun 2001 09:04:17 GMT   (405kb)
Occurrence of periodic Lam\'e functions at bifurcations in chaotic Hamiltonian
systems
Authors: M. Brack, M. Mehta, K. Tanaka
Comments: LaTeX2e, 22 pages, 14 figures. Submitted to J. Phys. A. Version 2:
Replaced Tabs. 1,2 and Figs. 4-7,9,10 after correction of numerical error and
obtaining improved convergence and improved results. Corrected misprint in last
line of Sec.3 Subj-class: Chaotic Dynamics; Mathematical Physics
Paper: Source (405kb), PostScript, or Other formats

quant-ph/0105044
From: "A.Khare" <khare@iopb.res.in>
Date: Thu, 10 May 2001 14:56:57 GMT   (21kb)
Some Exact Results for Mid-Band and Zero Band-Gap States of Associated Lame
Potentials
Authors: Avinash Khare, Uday Sukhatme
Comments: 18 pages, 2 figures
Report-no: UICHEP-TH/01-2, IP-BBSR/01-5, May 2001
Subj-class: Quantum Physics; Mathematical Physics
Paper: Source (21kb), PostScript, or Other formats

math.CO/0106025
From: Anatol N. Kirillov <kirillov@math.nagoya-u.ac.jp>
Date: Tue, 5 Jun 2001 06:31:23 GMT   (12kb)
Generalized Umemura polynomials and Hirota-Miwa equations
Authors: Anatol N. Kirillov, Makoto Taneda
Comments: 19 pages
Subj-class: Combinatorics; Quantum Algebra
MSC-class: 14D15; 34M55
Paper: Source (12kb), PostScript, or Other formats

math.QA/0106041
From: Yoshihiro Takeyama <ninihuni@kurims.kyoto-u.ac.jp>
Date: Thu, 7 Jun 2001 02:48:10 GMT   (7kb)
On solutions of the q-hypergeometric equation with q^{N}=1
Authors: Yoshihiro Takeyama
Comments: 9 pages
Subj-class: Quantum Algebra; Classical Analysis
Paper: Source (7kb), PostScript, or Other formats

math.NT/0106054
From: Matthew A. Papanikolas <map@math.brown.edu>
Date: Fri, 8 Jun 2001 19:52:19 GMT   (53kb)
Linear independence of Gamma values in positive characteristic
Authors: W. Dale Brownawell, Matthew A. Papanikolas
Comments: 51 pages
Subj-class: Number Theory
MSC-class: 11G09, 11J93, 11S80
Paper: Source (53kb), PostScript, or Other formats

math.CO/0106123
From: Allan I. Solomon <a.i.solomon@open.ac.uk>
Date: Thu, 14 Jun 2001 14:20:30 GMT   (9kb)
Extended Bell and Stirling numbers from hypergeometric exponentiation
Authors: J.-M. Sixdeniers, K.A. Penson, A.I. Solomon (University of Paris VI)
Comments: 12 pages, Latex. Journal of Integer Sequences (in press)
Subj-class: Combinatorics
MSC-class: 05A15
Paper: Source (9kb), PostScript, or Other formats

math.CA/0106142
From: malyshev@pdmi.ras.ru
Date: Sun, 17 Jun 2001 13:32:57 GMT   (10kb)
Authors: C. Malyshev
Comments: 11 pages, LaTeX
Report-no: PDMI Preprint 04/2001
Subj-class: Classical Analysis; Mathematical Physics
MSC-class: 33C45
Paper: Source (10kb), PostScript, or Other formats

math.NT/0106148
From: Jun-ichi OKUDA <okuda@gm.math.waseda.ac.jp>
Date: Mon, 18 Jun 2001 09:18:03 GMT   (10kb)
New Approach to Ohno Relation for Multiple Zeta Values
Authors: Jun-ichi Okuda, Kimio Ueno
Comments: 15 pages
Subj-class: Number Theory
MSC-class: 11M06; 40B05
Paper: Source (10kb), PostScript, or Other format

math.QA/0106187
From: "Applied Math" <pm@miem.edu.ru>
Date: Fri, 22 Jun 2001 10:21:00 GMT   (35kb)
Quantum Surfaces, Special Functions, and the Tunneling Effect
Author: M. V. Karasev (Moscow)
Comments: 49 pages, Latex-file
Subj-class: Quantum Algebra
Paper: Source (35kb), PostScript, or Other formats

math.CO/0106191
From: Jean-Yves Thibon <jyt@univ-mlv.fr>
Date: Fri, 22 Jun 2001 13:59:00 GMT   (9kb)
Noncommutative symmetric functions and quasi-symmetric functions with two and
more parameters
Authors: F. Hivert, A. Lascoux, J.-Y. Thibon (University of Marne-la-Vallee)
Comments: 13 pages, LaTex
Subj-class: Combinatorics
Paper: Source (9kb), PostScript, or Other formats

math.CO/0106213
From: Geanina Tudose <gtudose@mathstat.yorku.ca>
Date: Mon, 25 Jun 2001 23:59:27 GMT   (19kb)
Reflections on symmetric polynomials and arithmetic functions
Authors: Trueman MacHenry, Geanina Tudose
Comments: 17 pages, 2 figures
Subj-class: Combinatorics; Number Theory
MSC-class: 05E05, 11N99
Paper: Source (19kb), PostScript, or Other formats

math.RT/0106222
From: Alexander Sergeev <sfmser01@newton.cam.ac.uk>
Date: Tue, 26 Jun 2001 16:36:45 GMT   (24kb)
Superanalogs of the Calogero operators and Jack polynomials
Authors: Alexander Sergeev
Comments: Latex, 27 pages
Subj-class: Representation Theory; Mathematical Physics
MSC-class: 17B20,17B25(Primary) 17B35,17A70(Secondary)
Paper: Source (24kb), PostScript, or Other formats



Topic #9  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                           ~~~~~~~~~~~~~
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
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This is a convenient point of entry to all the services provided by the
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The Activity Group sponsors OP-SF NET, which is transmitted periodically
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To receive the OP-SF NET, send your name and email address to
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Topic #10  --------------   OP-SF NET 8.4  ----------------  July 15, 2001
                            ~~~~~~~~~~~~~
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 OP-SF NET 8.5 should be sent by September 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
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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
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The deadline for submissions to be included in the October 2001 issue is
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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
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   Send submissions to:              poly@siam.org
   Subscribe by mailing to:  poly-request@siam.org
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   Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/
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   Information on joining SIAM
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o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
       The elected Officers of the Activity Group (1999-2001) are:
               Daniel W. Lozier, Chair
               Walter Van Assche, Vice Chair
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       The appointed officers are:
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                            Newsletter Editors
               Martin Muldoon, OP-SF NET editor
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