# Volume 5, Number 5



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-                                                                     -
-                                           September 15, 1998
-
-      O P - S F   N E T                    Volume 5, Number 5        -
-      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~        -
-      Editors:                                                       -
-      Tom H. Koornwinder                   thk@wins.uva.nl           -
-      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:  majordomo@wins.uva.nl        -
-                                                                     -
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Today's Topics

1. Elections of SIAG Officers
2. DLMF Seminar Series Announcement
3. International Conference on Rational Approximation
4. ICIAM '99 in Edinburgh
5. Report on Minisymposium on Problems and Solutions in Special
Functions
6. Orthogonal Polynomials and Special Functions at ICM'98
7. Announcement of  Review of Vilenkin & Klimyk three-volume set
8. New edited book by Jones and Ranga
9. Revised Maple Packages on Hypergeometric and q-Hypergeometric
Summation
10. PhD student position at University of Amsterdam
11. SIAM Student Paper Prizes
12. Rota's "Ten Math problems I will never solve"
13. Mathematica special functions poster
14. MathCD 1998
15. Classical Analysis preprints in xxx archive
16. Migration of Haubold archive to xxx
17. Changes of Address, WWW Pages, etc
19. Subscribing to OP-SF NET
20. Obtaining back issues of OP-SF NET and submitting contributions

Calendar of Events:

1999
March 29 - April 2: Fifth International Conference on Approximation
and Optimization in the Caribbean, Guadeloupe                 5.4 #4
May 12-15: SIAM Annual Meeting in Atlanta
June 6-11: International Conference on Rational Approximation,
Antwerp, Belgium                                              5.5 #3
June 21-25: Conference on Special Functions, Hong Kong     5.2 #7, 5.4 #5
July 5-9: ICIAM '99, Edinburgh                                     5.5 #4
September 20-24: International Symposium on Orthogonal Polynomials,
Special Functions and Their Applications, Patras, Greece      5.4 #3

2000
July 10-14: SIAM Annual Meeting in Puerto Rico

Topic #1    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Elections of SIAG Officers

Charles Dunkl informs us that the the SIAM Office will soon be
distributing the ballots for the election of our Activity Group Officers
for the three-year period starting January 1, 1999. (See OP-SF NET 5.4,
Topic #2).  The return deadline will be October 26, 1998.

Topic #2    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Bruce Miller <miller@cam.nist.gov>
Subject: DLMF Seminar Series Announcement

DLMF Seminar Series Announcement

Hypergeometric Summation: Tables AND Algorithms

Prof. Dr. Peter Paule

Research Institute for Symbolic Computation (RISC),
J. Kepler University,
A-4040 Linz, AUSTRIA

Monday, September 21, 10:30 - 11:30
NIST North, Room 618

The speaker will give a sketch of recent developments in the
field with examples why both tables and algorithms are needed in
order to enlarge the mathematics knowledge base.

All interested are invited to reconvene in the same room after lunch for
a roundtable discussion with the speaker.

http://math.nist.gov/DigitalMathLib/Events/

bruce.miller@nist.gov
http://math.nist.gov/~BMiller/

Topic #3    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF Editor <muldoon@yorku.ca>
Subject: International Conference on Rational Approximation

The following information is taken from:
http://win-www.uia.ac.be/u/icra99/

International Conference on Rational Approximation

June 6-11, 1999

University of Antwerp (UIA)

The conference will focus on rational approximation theory in the broadest
sense, including all computational aspects and applications. Contributions
are welcomed on the subjects of Pade Approximation, Continued Fractions,
Orthogonal Polynomials and Rational Approximation in general.

Scientific Committee

Annie Cuyt (Universiteit Antwerpen)
Alphonse Magnus (Universite Catholique de Louvain)
Jean Schmets (Universite de Liege)
Jean-Pierre Thiran (Facultes Universitaires Notre-Dame de la Paix
Namur)
Marc Van Barel (Katholieke Universiteit Leuven)
Paul Van Dooren (Universite Catholique de Louvain)
Brigitte Verdonk (Universiteit Antwerpen)

Invited Speakers

George A. Baker Jr. (Los Alamos National Laboratory - USA)
Peter Borwein (Simon Fraser University - Canada)
Peter R. Graves-Morris (University of Bradford - United Kingdom)
William B. Jones (University of Colorado at Boulder - USA)
George Labahn (University of Waterloo - Canada)
Lisa Lorentzen (Norwegian university of Science and Technology -
Norway)
Doron S. Lubinsky (University of Witwatersrand - South Africa)
Hans J. Stetter (Technische Universitat Wien - Austria)

Universiteit Antwerpen (UIA)
Department of Mathematics and Computer Science
Universiteitsplein 1
B 2610 Antwerpen-Wilrijk
Belgium (Europe)

Phone

+32 (0) 3 820 24 01 (Department)
+32 (0) 3 820 24 07 (Annie Cuyt)
+32 (0) 3 820 24 03 (Brigitte Verdonk)
Fax

+32 (0) 3 820 24 21
E-mail

icra99@uia.ua.ac.be

Web site:

http://win-www.uia.ac.be/u/icra99/

Topic #4    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Martin Muldoon <muldoon@yorku.ca>
Subject: ICIAM '99 in Edinburgh

The following is taken mostly from the conference web site:
http://www.ma.hw.ac.uk/iciam99/

"The Fourth International Congress on Industrial and Applied Mathematics
will be held in Edinburgh, the capital of Scotland, from 5th to 9th of
July 1999.

"It will be jointly organised by the Institute of Mathematics and its
Application and the International Centre for Mathematical Sciences,
with the involvment of Mathematics Departments at Edinburgh University and
Heriot-Watt University.

"Previous Congresses met in Paris in 1987, Washington, DC in 1991, and
and applied mathematics will be presented. Cross disciplinary themes
within mathematics, between mathematics and other disciplines, and
between mathematics and particular industries will be covered."

SIAM is one of the Member Societies of the Committee for International
Conferences on Industrial and Applied Mathematics (CICIAM).

The web site includes information on mini-symposia.  A mini-symposium is a
session of 3-5 speakers focusing on a single topic and lasting for two
hours. The organiser of a mini-symposium invites the speakers and decides
proposals is 30 September 1998.  Our Activity Group sponsored a
mini-symposium at the 1995 ICIAM in Hamburg.  Suggestions of minisymposia
to be sponsored by us at the 1999 meeting should be sent to our Program
Director, Willard Miller <miller@ima.umn.edu>.

Topic #5    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Martin Muldoon <muldoon@yorku.ca>
Subject: Report on Minisymposium on Problems and Solutions in Special
Functions

On July 14, 1998, our Activity Group sponsored a Minisymposium "Problems
and solutions in Special Functions" (Organizers:  Willard Miller, Jr. and
Martin E. Muldoon) at the SIAM Annual Meeting in Toronto. The organizers
recognized that by providing concrete and significant problems, the
problem sections in journals such as SIAM Review and the American
Mathematical Monthly have been influential in advancing mathematical
research and have played a role in attracting young people to the
mathematical profession. At a time when the SIAM Review is phasing out its
problem sections (see OP-SF NET 4-6, Topics #17, #18 and #19), it seemed
appropriate to assess the history and impact of the problems sections and
their future evolution.

Cecil C. Rousseau, University of Memphis offered a retrospective on the
40-year history of the SIAM Review Problems and Solutions Section, based
on his experience as a collaborating editor and then as an editor of the
Section. We learned that of the 777 problems proposed, 329 were starred
(no solution submitted by the proposer). The title most used was "A
definite integral" while the keywords occurring most frequently were
"integral" (131 times), "inequality" (47), "identity" (33), "series" (25)
and "determinant" (24).  The most frequent problem proposers were M. S.
Klamkin (46), M. L. Glasser (38), D. J. Newman (24) and L. A. Shepp (20).

Cecil chose a specific issue (April, 1972) and mentioned Problem 72-6 by
Paul Erdos ("A solved and unsolved graph coloring problem") that
provided the first contact between Erdos and the Memphis graph theory
group (Faudree, Ordman, Rousseau, Schelp), and in that way led to more
than 40 joint papers involving Erdos and the members of this group.  He
mentioned Problem 72-9 ("An extremum problem") by Richard Tapia, who,
coincidentally, was honored on the same day as our Minisymposium by a
Minisymposium for his 60th birthday.  In the same issue, the solution to
Problem 71-7 ("Special subsets of a finite group") was the very first
publication by Doron Zeilberger.  Rousseau himself had a solution of
Problem 71-13 proposed by L. Carlitz, which called for a proof that a
certain integral involving the product of Hermite polynomials was
nonnegative.  At the time, Rousseau looked for, but did not find, a
combinatorial interpretation of the integral that would immediately imply
its nonnegativity.  That there is such an interpretation was shown by
Foata and Zeilberger in 1988.  Later in the discussion, Rousseau mentioned
that problems sometimes get repeated in spite of the best efforts of the
editors; for example, Problem 95-6 repeats part of Problem 75-12 but that
he had found the relevant double integral later in Williamson's Calculus
(6th ed), 1891!

Otto G. Ruehr, Michigan Technological University, discussed the forty-year
history of the Section with particular attention to the second half.  He
offered an anecdotal description of the trials, tribulations and
satisfactions of being editor.  Special attention was paid to problems in
classical analysis, particularly those relating to orthogonal polynomials
and special functions.  He regretted that some problems he had proposed
(73-12, 84-11) attracted only one solution other than that of the
proposer. Sometimes, sheer luck played a role as in a solution of his
which depended on the relatively sharp inequality 27e^2 < 200.  In spite
of the best editorial efforts, errors often crept in.  In the very last
issue which contained problems a complicated asymptotic expression
(Problem 97-18) was correct except for an error in sign! Nevertheless, it
led to collaboration between one of the proposers (D. H.  Wood) and J.
Boersma.

Otto mentioned that, very appropriately, the last issue (December 1998)
of the Section will be dedicated to its founding editor, Murray S.
Klamkin. In some brief remarks, Murray discussed some highlights and
problems such as "A network inequality" and (the very first) Problem 59-1
"The ballot problem", Proposed by Klamkin and Mary Johnson. This has not
been solved in the general case.

Willard Miller, Jr., University of Minnesota, spoke on "The Value of
Problems Sections in Journals"  He stressed their importance in getting
young people interested in mathematics and as a place where a person not
expert in an area can get their feet wet. He offered Doron Zeilberger as
someone who exemplified the value of problem sections. Bill mentioned that
by participation in problems sections you can get established researchers
in other areas interested in what you have to say. People see that a
problem is hard and when the solution comes out they are interested in it
and are challenged to find a better proof.

Richard Askey, University of Wisconsin, was unable to attend the
Minisymposium but submitted a written statement, some of which was read by
Bill Miller, and which offered some thoughts about problems and the role
that a problem section can play in a scientific journal.

Askey's first example was on the generalization to Jacobi polynomials of
an inequality for trigonometric functions.  Rather than writing a one page
paper, he decided to submit it as a problem to have people work on it.
Unfortunately his plan failed.  Nobody else submitted a solution because
he had not been explicit enough about a limiting case which would be more

Askey also described some of the history (including an incorrect published
solution) of a problem where it was required to show that the sum from 1
to n of

(-1)^(k+1)[sin(kx)/ksin(x)]^(2m)

is positive for all real x, m = 1,2,...

Askey described his favorite SIAM Review problem as Problem 74-6 ("Three
multiple integrals")  submitted by a physicist, M.L. Mehta.  It called for
the evaluation of a multidimensional normal integral.  "I spent many hours
on this problem, unsuccessfully.  Eventually, a multidimensional beta
derivation of in 1944, came to light.  Then it was easy to prove the
Mehta-Dyson conjecture, as Dyson realized once Bombieri told him of
Australia at the time, and he heard of it from Kumar, a physicist there.
I worked out what should happen in a q-case, and published my conjectures
in SIAM Journal of Mathematical Analysis.  All of these conjectures have
now been proven.  Ian Macdonald heard about Selberg's result from someone
in Israel, and he came up with some very significant conjectures about
other q-beta integrals.  He had been working on questions like this for
root systems, and his conjecture for a constant term identity for BC(n)
was equivalent to Selberg's result. Some of this would have been done
exactly as it was without Mehta's problem in SIAM Review, but I doubt that
I would have appreciated the importance of Selberg's result as rapidly if
I had not spent so much time on the Mehta-Dyson conjecture."

In the general discussion which followed there was mention of "opsftalk"
the discussion forum for this Activity Group.  It was generally agreed
that it could not replace Problem Sections of the kind being discussed
both because of the limited readership and the fact that it is restricted
to orthogonal polynomials and special functions.

Dick Askey had cautioned:  "I am afraid that having a problem section
only on line will lead to a restricted group of readers, those with
a love of problems for their own sake, and not reach the wider group
of mathematicians, applied mathematicians, and scientists who could use
some of the results in these problem sections."

A wide-ranging discussion continued informally between those attending.
Some of the points raised in these discussions follow:

It was felt that it was very important to stress that any web initiative
for a Problem Section should cover all areas.  It would be unsatisfactory
to have separate operations for say, the various SIAM activity groups.

There was some skepticism about the web proposal. In particular, the
importance of careful editing was stressed.  It is a commonplace that much
material on the web is sloppy and done in a hurried manner.  It will be
very important to make sure that the present proposal is carefully
monitored.  There was also a sense that "putting it on the web" is
sometimes offered as a panacea for all sorts of information distribution
without a realistic understanding of the work involved.

Nevertheless, the advantages of speed and access which are provided by a
web site are eagerly anticipated by those interested in preserving and
enhancing the SIAM Review Problem Section.

There should be a part of the web initiative devoted to problems
suitable for high school students. This has the potential to greatly
broaden the audience for the problem sections and to attract more young
people to mathematics research.

The web pages should be divided into two parts. Part A would contain the
problems and refereed solutions, and would be comparable to what appears
in the SIAM Review now (but with hyperlinks and other bells and whistles).
Part B would be more informal. It would contain proposed solutions (before
they have been fully refereed), comments on the solutions and other
comments and background information related to the problems. Part B would
be more timely. The editor would still control what is posted in Part B
but wouldn't vouch for the accuracy of all proofs. Part B would be more
lively, and give a better indication of how mathematics research is
actually carried on. Part A would be more polished.

There should be some way to archive in print the problems and solutions of
Part A. Perhaps a volume could be produced every few years.

SIAM should refer routinely to the website in the Review, say a paragraph
in each issue.

Once the website is well launched, there should be an article about the

Topic #6    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom H. Koornwinder <thk@wins.uva.nl>
Subject: Orthogonal Polynomials and Special Functions at ICM'98

(From opsftalk)

ICM'98 (the International Congress of Mathematicians) was held during
August 18-27, 1998 in Berlin, Germany. Orthogonal Polynomials and
Special Functions were no major theme at this Congress, but some was
represented, scattered over the sections:
7. Lie groups and Lie algebras
8. Analysis
11. Mathematical physics
15. Numerical analysis and scientific computing
16. Applications
Here is a (probably not exhaustive) list.

Fields Medal Winners:

One of the winners, Richards E. Borcherds, has obtained generalizations
of Macdonald identies in connection with generalized Kac-Moody algebras
(just as the Macdonald identities follow from denominator identities
for affine Kac-Moody algebras).

Plenary Lectures:

I.G. Macdonald, "Constant term identities, orthogonal polynomials and
affine Hecke algebras"

Invited Section Lectures:
Ivan V. Cherednik, "From double Hecke algebra to analysis"
(contains some one-variable q-identities for which Cherednik would like
to hear from others a classical proof)

Barry McCoy, "Rogers-Ramanujan identities: A century of progress from
mathematics to physics"

Percy Alec Deift, "Uniform asymptotics for orthogonal polynomials"
(very recommended)

Leslie Frederick Greengard, "A new version of the fast Gauss transform"
(uses Hermite polynomials)

Short Communications and Poster Sessions:

N. Jing, "Quantized Kac-Moody algebras and symmetric functions"

Boris Rubin, "Fractional calculus and wavelet transforms in integral
geometry"

Ahmed I. Zayed, "Wavelets in closed form"

Thomas C. Kriecherbauer, "Asymptotics of orthogonal polynomials via
integrable methods"  (relates to Deift's lecture)

Margit Rosler, "Positivity of Dunkl's intertwining operator"

Raoul R.F.G. Gloden, "Proprietes des polynomes orthogonaux.
Developpements de cas particuliers"

Kathy A. Driver, "Zeros of hypergeometric functions"

William C. Connett, "Measure algebras that have oblate spheroidal wave
functions as characters"

Alan L. Schwartz, "Hypergroups and their maximum subgroup"

Andreas Ruffing, "On Schrodinger-Hermite operators in lattice quantum
mechanics"

Vitaly Tarasov, "q-Hypergeometric solutions of the quantized
Knizhnik-Zamolodchikov equation"

All abstracts are available at the ICM'98 web site

http://elib.zib.de/ICM98

the files of the papers of the Invited Section Lectures.

Tom Koornwinder

Topic #7    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom Koornwinder <thk@wins.uva.nl>
Subject: Announcement of Review of Vilenkin & Klimyk three-volume set

Erik Koelink and I wrote a book review for the Bulletin of the AMS
on the three-volume set by Vilenkin & Klimyk which appeared some years
ago. Here is the full reference:

Erik Koelink and Tom H. Koornwinder,
Bull. Amer. Math. Soc. 35 (1998), pp. 265-270,
Review of "Representation of Lie groups and special functions, Vols i,2,3"
by N.Ja. Vilenkin and A.U. Klimyk, Kluwer, 1991, 1992, 1992.

Topic #8    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom Koornwinder <thk@wins.uva.nl>
Subject: New edited book by Jones and Ranga

Orthogonal Functions, Moment Theory, and Continued Fractions; Theory and
Applications,
Edited by: William B. Jones (University of Colorado, Boulder) and
Lecture Notes in Pure and Applied Mathematics, Vol. 199,
Marcel Dekker, Inc.
440 pp., ISBN 0-8247-0207-7, $165.00. See http://www.dekker.com/cgi-bin/webdbc/md/detail.htx?d_cat_id=0207-7 Topic #9 ------------ OP-SF NET 5.5 ----------- September 15, 1998 From: Wolfram Koepf <koepf@imn.htwk-leipzig.de> Subject: Revised Maple Packages on Hypergeometric and q-Hypergeometric Summation Revised versions of our Maple packages hsum.mpl and qsum.mpl on hypergeometric and q-hypergeometric summations coming with the book "Wolfram Koepf: Hypergeometric Summation, Vieweg, Braunschweig/Wiesbaden, 1998" that was announced in OP-SF NET 5.4, Topic #8, are available now from the web site www.imn.htwk-leipzig.de/~koepf/research.html . They contain implementations of Gosper's, Zeilberger's, Petkovsek's and related algorithms and their q-analogues, respectively. For details you should consult the accompanying book. Wolfram Koepf Topic #10 ------------ OP-SF NET 5.5 ----------- September 15, 1998 From: Allison Bogardo <bogardo@siam.org> Subject: SIAM Student Paper Prizes The annual SIAM Student Paper Prizes will be awarded during the 1999 SIAM Annual Meeting, May 12-15, at the Radisson Hotel in Atlanta, Georgia. If you are a student or know of a student who would like to take part in the competition, here are the details: The authors of the three best papers in applied and computational mathematics written by students and submitted to SIAM will present their papers at the meeting and each will receive a$1,000 cash prize as well as gratis registration for the meeting.
There is no provision for travel expenses associated with the
prize.

Papers must be singly authored and not previously published or
submitted for publication to be eligible for consideration.  To
qualify, authors must be students in good standing who have not
received their PhDs at the time of submission.

In submitting their work for publication, authors are asked to
consider SIAM journals.  However, student paper prize winners are
not guaranteed publication in any SIAM journal; all papers
submitted to SIAM journals are subject to the same refereeing
process and standards.

Submissions must be received in the SIAM office on or before
February 1, 1999.

Submissions, which must be in English, can be sent by regular
mail or fax.  Each submission must include (1) an extended
abstract NOT LONGER THAN 5 PAGES (including bibliography); (2)
the complete paper, which will be used solely for clarification
of any questions; (3) a statement by the student's faculty
advisor that the paper has been prepared by the author indicated
and that the author is a student in good standing; (4) a letter
by the student's faculty advisor describing and evaluating the
paper's contribution; and (5) a short biography of the student.

Submissions will be judged on originality, significance, and
quality of exposition.

The winners will be notified by March 15, 1999.

A. Bogardo at SIAM, 3600 University City Science Center,
Philadelphia, PA 19104-2688;telephone (215) 382-9800; e-mail to
bogardo@siam.org.

Topic #11   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom H. Koornwinder <thk@wins.uva.nl>
Subject: PhD student position at University of Amsterdam

The Korteweg-de Vries Institute for Mathematics of the University of
Amsterdam has available in the near future a few four-year assistant
positions for PhD students. Prospective candidates should have completed a
PhD thesis by the end of this period. See

for details. Thesis work may be done in a large number of different fields
of mathematics. To a large extent, selection of candidates will be based
on the quality of their work for the master's degree.

One of the possible fields for a prospective candidate is in the area of
OP & SF, with me as an adviser. Possible directions are:

- computer algebra algorithms for special functions
- special functions associated with root systems
- q-special funcions in connection with quantum groups

Tom Koornwinder

Topic #12   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom H. Koornwinder <thk@wins.uva.nl>
Subject: Rota's "Ten Math problems I will never solve"

(From opsftalk)

The 2/98 issue of the journal "Mitteilungen der Deutschen
Mathematiker-Vereinigung"  has a "Sonderbeilage zum ICM'98 in Berlin"
called "Zukunft der Mathematik". One of the contributors (in English) is
Gian-Carlo Rota with the title "Ten Mathematics Problems I will never
solve"  (Invited address at the joint meeting of the American Mathematical
Society and the Mexican Mathematical Society, December 6, 1997).  His
fourth Problem is "A unified theory of special functions", his eighth
Problem is "Confluent symmetric functions".

Concerning Problem 4 he has a funny comment:
Lately, q-analogs have come into high fashion. They have been ennobled by
the name "quantum groups", even though they are neither quantum nor
groups.  Thirty years ago, those half dozen of us who worked on q-analogs
were looked at with deep suspicion. More than sixty years ago, the
Reverend F.H.  Jackson, who was at that time probably the only person
working on q-analogs, stormed out of the lecture room when someone in the
audience made an unpleasant comment on q-analogs, and he never finished
delivering his lecture on the q-analog of the gamma function.

Tom Koornwinder

Topic #13   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom H. Koornwinder <thk@wins.uva.nl>
Subject: Mathematica special functions poster

(From opsftalk)
At the recent ICM'98 in Berlin, the Mathematica booth displayed a giant
poster on "The Mathematical Functions of Mathematica".
It has four panels:

- Elliptic functions
- Elementary functions
- Hypergeometric functions
- Zeta, Mathieu, and other functions

The full poster, or parts of it, are available for free from
Mathematica (in limited amount).
See http://www.wolfram.com/icm/poster.html

Disclaimer:
This message is just for your information.
I am not affiliated to Mathematica in any way, nor do I endorse
the mathematical contents of this poster.

Tom Koornwinder

Topic #14   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom H. Koornwinder <thk@wins.uva.nl>
Subject: MathCD 1998

(From opsftalk)

The following is taken from

http://topo.math.u-psud.fr/~lcs/MathCD.html

A CD-ROM for Mathematics

Call for Submissions

Dear Fellow Mathematicians,

We are currently editing a CD-ROM devoted chiefly to freely
distributable material of interest to mathematicians. Called MathCD
1998, it will be published in Fall 1998 by a French non-profit
organization. Hopefully this CD-ROM will be the first of a series.

CD-ROM technology is unrivalled for low-cost high-volume
distribution. For a unit cost of a few dollars, one can, by exploiting
efficient formats, distribute a quantity of information that would
fill several hundred books.

Our first priority has been to provide the electronic mathematics
journals with a durable distribution medium to complement the volatile
internet.

Our second priority is to improve the organisation and distribution of
mathematical software produced by individual mathematicians.

Much space will be available for further material that will hopefully
make this CD-ROM something of a mathematician's almanac and vademecum:
various readers (viewers), choice pieces of the classical literature,
monograph reprints, math memorabilia, math folklore, electronic
graphics, programming tools, manuscript preparation tools, etc.

We solicit from our mathematical colleagues proposals of material to
distribute on CD-ROM. We hope that each proposing mathematician (be he
an author or an observer) will be willing to write a useful signed
review and arrange the material for the CD-ROM. He or she should, at
very least, put us in contact with the author, and indicate other
qualified experts.

It is expected that authors will, in most cases, retain copyright and
provide their own copyright notices within their contributions, while
giving the editors specific permission for publication on the
CD-ROM. Contributions exploitable in many computer environments will
be preferred; but those specific to DOS, MSWindows or Macintosh will
also be very acceptable. Commercial material and advertizing may be
accepted under conditions to be negotiated, and the editors' intent
here will be to reduce the price at which the CD-ROM can be
distributed.

After the closure of MathCD 1998, submissions will be welcomed for
future editions.

Laurent Siebenmann (editor in chief)
Krzysztof Burdzy (editor for electronic journals)
Richard Palais (editor for math software)
Xah Lee (associate editor for math software)

Disclaimer:
I am not affiliated in any way to MathCD 1998.
I forward this just for your information.

Tom Koornwinder

Topic #15   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET editors <thk@wins.uva.nl>  <muldoon@yorku.ca>
Subject: OP-SF preprints in xxx archive

The following preprints related to the field of orthogonal polynomials and
special functions were recently posted to one of the
subcategories of the xxx archives. See:
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.CO/9808050 (QA)
L. Lapointe, A. Lascoux, J. Morse. Determinantal expressions for Macdonald
polynomials.

math.CO/9808040 (FA MP)
Vladimir V. Kisil. Polynomial Sequences of Binomial Type and Path
Integrals. 11 pages

math.CO/9807074
Doron Zeilberger (Temple University). A Heterosexual Mehler Formula for
the Straight Hermite Polynomials (A La Foata). 5 pages. CO.

math.QA/9807125 (CO)
George E. Andrews, Anne Schilling, S. Ole Warnaar. An A$_2$ Bailey lemma
and Rogers--Ramanujan-type identities. 25 pages. ITFA-98-18

math.QA/9807014 (CO)
Frederick M. Goodman, Hans Wenzl. Crystal Bases of Quantum Affine Algebras
and Affine Kazhdan-Lusztig Polynomials. 22 pages.

math.QA/9809002 (CV FA)
D. Shklyarov, S. Sinel'shchikov, L. Vaksman. On Function Theory in Quantum
Disc: q-Differential Equations and Fourier Transform. 17 pages.

math.MP/9809066 (QA)
Alexander Berkovich, Barry M. McCoy. The perturbation $\phi_{2,1}$ of the
M(p,p+1) models of conformal field theory and related polynomial character
identities. 30 pages. ITP-SB 98-49

math.QA/9808136
Peter Goddard. The Work of R.E. Borcherds. 9 pages.
DAMTP-1998-120.

math.QA/9808110
Ahmedov, H. Analysis on the 2-Dim Quantum Poincarè Group at Roots of
Unity. 18 pages

math.QA/9808096 (RT)
Richard Dipper, Jochen Gruber. Generalized q-Schur algebras and
modular representation theory of finite groups with split (BN)-pairs. 47
pages

math.QA/9808075
Mirko Luedde, Alexei Vladimirov. Analogs of q-Serre relations in the
Yang-Baxter algebras. 6 pages

math.QA/9808043 (MP)
Angel Ballesteros, Francisco J. Herranz, Javier Negro, Luis Miguel Nieto.
On quantum algebra symmetries of discrete Schrodinger equations. 11 pages.
UBU-Dfis-98-02.

math.QA/9808015 (CV FA).
D. Shklyarov, S. Sinel'shchikov, L. Vaksman. On Function
Theory in Quantum Disc: Integral Representations. 17 pages. KhMI-98-09.

math.QA/9808003 (MP)
Masatoshi Noumi, Yasuhiko Yamada. Higher order Painleve equations of type
$A^{(1)}_l$. 16 pages.

math.QA/9808002 (MP)
Yasuhiko Yamada. Determinant formulas for the $\tau$-functions of the
Painleve equations of type $A$. 11 pages.

math.QA/9807046
M. Irac-Astaud (Laboratoire de Physique Theorique de la Matiere Condensee,
Universite Paris VII, Paris, France), C. Quesne (Physique Nucleaire
Theorique et Physique Mathematique, Universite Libre de Bruxelles, Campus
de la Plaine, Brussels, Belgium). Unitary Representations of Su_q(2) on
the Plane for q in R+ or Generic q in S1. 6 pages

math-ph/9807019 (QA)
J. Van der Jeugt, R. Jagannathan. Realizations of $su(1,1)$ and
$U_q(su(1,1))$ and generating functions for orthogonal polynomials. 20
pages

solv-int/9808015
Title: On the Solution of a Painleve III Equation
Authors: Harold Widom (University of California, Santa Cruz)

Topic #16   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Migration of Haubold archive to xxx

Hans Haubold reports that between 17 June and 30 July 1998, the following
paper was deposited in the "siam/submissions" directory at
ftp://unvie6.un.or.at/siam/opsf_new/00index.html

V.S. Buyarov, J.S. Dehesa, A. Martinez-Finkelshtein, and E.B. Saff,
Asymptotics of the information entropy for Jacobi and Laguerre polynomials
with varying weights

As announced in OP-SF NET 5.4, Topic #19, the functions of Hans Haubold's
(earlier Waleed Al-Salam's) reprint archive for papers in Orthogonal
Polynomials and Special Functions is being taken over by the so-called xxx
archives.  The intention is that workers in our areas of interest should
post their reprints to the Classical Analysis archive (or possibly to
another of the xxx archives with a cross-listing to Classical Analysis).
As part of this change, the existing papers in the Haubold archive have
been relocated to:

http://front.math.ucdavis.edu/search/op-sf&num=200

We repeat the relevant URLs for the xxx site:

the xxx mathematics archive, maintained at Los Alamos:
http://xxx.lanl.gov/archive/math

the UC Davis front end for the xxx mathematics archive:
http://front.math.ucdavis.edu/

a detailed list of categories within the xxx mathematics archive:
http://front.math.ucdavis.edu/categories.html

Topic #17   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET Editors
Subject: Changes of Address, WWW Pages, etc.

The new Journal of Computational Analysis and Applications (see

http://www.msci.memphis.edu/~anastasg/anlyjour.htm

Jasper Stokman (until August 1998 at the University of Amsterdam)
will stay in Paris until January 1999. His address is:

Centre de Mathematiques de Jussieu
Universite Paris 6 Pierre et Marie Curie
Tour 46 5e etage, Boite 247
4, place Jussieu,
F-75252 Paris Cedex 05
France
Email: stokman@math.jussieu.fr

K. Trimeche in Tunis has an email address. His full address is:

Departement de Mathematiques,
Faculte des Sciences de Tunis
Campus Universitaire
1060 Tunis
Tunisia
Email: khlifa.trimeche@fst.rnu.tn

Erik Koelink, whose temporary position at the University of Amsterdam
would end at the end of 1998, has obtained a tenured position at Delft
not yet been moved.  The old email address is also still valid.

Delft University of Technology
Faculty of Information Technology and Systems
Department of Technical Mathematics
PO Box 5031
2600 GA Delft
the Netherlands
tel: + 31 15 278 1807 fax: + 31 15 278 7245
Visiting address: office HB.09.280, Mekelweg 4, 2628 CD Delft

Topic #18   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET editor <thk@wins.uva.nl>

In a recent posting, Haseo Ki <haseo@bubble.yonsei.ac.kr> and Young-One
Kim ask when hypergeometric functions (entire functions with real
coefficients) have real zeros only. They have necessary and sufficient
conditions for this to hold in the confluent hypergeometric function case.

The listserv    opsftalk    is a discussion forum in
orthogonal polynomials and special functions. It started last November.
Presently, there are 43 subscribers. Postings are welcome. In particular,
if you want to send a contribution to OP-SF NET, and if you think it
is suitable for opsftalk, please post it there, and it will automatically
be considered for inclusion in OP-SF NET.

To subscribe, send a message to

majordomo@wins.uva.nl

and put in the body of the message only the words:

subscribe opsftalk

You can post messages by sending mail to

opsftalk@wins.uva.nl

Your message will then be automatically forwarded to everybody
on the opsftalk list.

The postings received during January 13 - March 12, 1998 were archived
by Tom Koornwinder at URL

http://turing.wins.uva.nl/~thk/opsftalk/archive.html.

Postings received from March 14, 1998 onwards will be automatically
archived at URL

http://www.findmail.com/listsaver/opsftalk/

look incomplete, but become complete when you click on it.

During the summer there were a few cases of "spam" (commercial junk mail)
submitted as messages to opsftalk.  For this reason, the listserv will be
moderated by me from now on.

Tom Koornwinder

Topic #19   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Subscribing to OP-SF NET

There are two ways to subscribe to OP-SF NET:

1. Send a message to

poly-request@siam.org

with your name and email address in the body of the message. If
everything works well, you will be put on the mailing list of
OP-SF NET which is maintained by SIAM.

2. Send a message to

majordomo@wins.uva.nl

and put in the body of the message only the words:

subscribe opsfnet

This is handled by an automatic list server. You will receive a
confirmation, with a list of further commands. You will be put on the
opsfnet mailing list of this list server. A new issue of OP-SF NET will be
mailed to people on this list immediately after the mailing by SIAM to the
people on the list maintained by SIAM.

Topic #20   ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Obtaining back issues of OP-SF NET and submitting contributions

Back issues of OP-SF NET can be obtained from
ftp:     ftp.wins.uva.nl, in directory
pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir
or   WWW:     http://turing.wins.uva.nl/~thk/opsfnet/

or   WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html

Contributions to the OP-SF NET 5.6 should reach the email address
poly@siam.org before November 1, 1998.

Koepf, soon to be replaced by Renato Alvarez-Nodarse and Rafael Yanez (see
OP-SF Net 5.2, Topic #1). Deadline for submissions to be included in the
October 1998 issue is September 15, 1998 and for the February 1999 issue
it is January 15, 1999.

new Editors:

Wolfram Koepf
Fachbereich IMN
HTWK Leipzig
Gustav-Freytag-Str. 42 A
D-04277 Leipzig
phone: +49-341-307 64 95
fax: +49-341-301 27 22
e-mail: koepf@imn.htwk-leipzig.de
koepf@zib.de

Renato Alvarez-Nodarse
Departamento de Matematicas
Escuela Politecnica Superior
phone: +34-1-624-94-70
fax: +34-1-624-94-30
e-mail: nodar@math.uc3m.es

(Effective October 1998, Renato's Address will be:
Departamento de Analisis Matematico
c/ Tarfia s/n
E-41012 Sevilla, Spain
fax: +34-95-455-7972
e-mail: renato@gandalf.ugr.es)

Rafael J. Yanez
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 can be submitted by email, regular mail or fax.

mathematics symbols or pictures) are automatically considered for
publication in OP-SF NET, and vice versa, unless the writer requests
otherwise.

Previous issues of the Newsletter, but not the most recent one, can
be obtained as dvi or PostScript files from Wolfram Koepf's WWW homepage:

http://www.zib.de/koepf/

or by anonymous ftp at

ftp.zib.de   in directory   pub/UserHome/Koepf/SIAM

In order to join the SIAM Activity Group on Orthogonal Polynomials
you have to become a member of SIAM. The annual dues are $93 for SIAM plus$10 for the Group. Student memberships are $20 a year with free membership in one Activity Group. Postgraduates can join for$45 a year (for three years). Contact the email address join@siam.org

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