Volume 2, Number 4

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-                                                                   -
-                                           July 13, 1995           -
-      O P - S F   N E T                    Volume 2, Number 4      -
-      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~      -
-      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. Newsletter Editor appointed
     2. Nominating Committee
     3. Minisymposium at SIAM Annual Meeting in Charlotte
     4. Minisemester on Quantum groups and quantum spaces
     5. Umbral Calculus Special Session: MIT, April 22-23, 1996
     6. Meeting on Symmetries and Integrability of Difference Equations
     7. Workshop Transform Methods & Special Functions, II (1996)
     8. Reports on Mini-Program Toronto (long item)
     9. Report of Minisymposium at ICIAM '95 (Hamburg)
    10. Askey-Bateman project
    11. UN/ESA Workshops
    12. Szego bust
    13. Obituary about Nathan Fine in Notices AMS
    14. Memorial note about Joe Gillis in Math. Intelligencer
    15. A new journal: The Ramanujan Journal
    16. New Proceedings "Transform Methods & Special Functions"
    17. Dynamic Survey of Umbral Calculus
    18. Maple Umbral Calculus Package
    19. J. Approx. Theory Table of Contents on WWW
    20. J. Physics A available on WWW
    21. Kan, a system for computational algebraic analysis
    22. ftp and WWW addresses
    23. Changes of address
    24. Recent additions to ftp site on orthogonal polynomials and
        related special functions
    25. Obtaining back issues of OP-SF Net

Calendar of events:                                         see issue/topic:

July 19-21: First Maghrebian Colloquium on Analysis                  1.9 #4
October 25: Minisymposium at SIAM Annual Meeting in Charlotte        2.3 #8
November 27- December 1: main topic q-special functions in fourth week
        of Warsaw Minisemester on Quantum groups and quantum spaces: 2.4 #4

April 22-23: Umbral Calculus Special Session at MIT                  2.4 #5
May 6-26: CRM Workshop on the Theory of Special Functions            2.1 #5
July 1-5: Meeting in Canterbury on Symmetries and Integrability of
           Difference Equations                                      2.4 #6
August, last week: Workshop Transform Methods & Special Functions    2.4 #7

Topic #1  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Charles F. Dunkl, Chair of Activity Group <cfd5z@fermi.clas.virginia.edu>
Subject:  Newsletter Editor appointed

Wolfram Koepf (Berlin, Germany) has been appointed as Editor of the
printed Newsletter of our Activity Group, initially for a period of
one year. In this position he will be the successor of Eugene Tomer.
He will prepare three issues during 1995-96, the first one in October
1995.  His address is:

 Wolfram Koepf
 Heilbronner Str. 10,
 10711 Berlin, Germany
 fax: +49-30-8960 4125,
 email: koepf@zib-berlin.de

Topic #2  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Charles F. Dunkl, Chair of Activity Group <cfd5z@fermi.clas.virginia.edu>
Subject: Nominating Committee

The members of the SIAG/OS nominating committee (see OP-SF Net 2.3,
Topic #3) met (in person!) at a conference at the University of
Toronto, June 21, 1995. We have an almost complete list of nominees:

chair: Charles Dunkl, unopposed
vice-chair: Tom Koornwinder, unopposed
secretary: several candidates
program chair: one candidate agreed, another has yet to be asked

Ballot forms will be sent to the members in September.

Topic #3  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Martin Muldoon (Program Director) <muldoon@mathstat.yorku.ca>
Subject: Minisymposium at SIAM Annual Meeting in Charlotte

See the announcement in OP-SF Net, Topic #8.  This Minisymposium
"Computational Aspects of Special Functions and Orthogonal
Polynomials" is cheduled for Wednesday afternoon, October 25, 1995, at
the SIAM Annual Meeting, Charlotte, North Carolina, October 23-26.

Topic #4  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Stanislaw Zakrzewski <szakrz@fuw.edu.pl>
Subject: Minisemester on Quantum groups and quantum spaces

It was already mentioned in OP-SF Net 2.3, Topic #9, that the Stefan
Banach International Mathematical Center in Warsaw, Poland will host a
Minisemester on "Quantum groups and quantum spaces" during November 6
- December 1, 1995 and that the last (fourth) week will also include
applications to the theory of special functions.  A more definite
First Announcement is now obtainable from Stanislaw Zakrzewski
<szakrz@fuw.edu.pl>.  From this Announcement we extract the following

The fourth week (27 November - 1 December) will have the two themes:

Special Functions.
  Main topics: q-special functions (zeta, gamma, hypergeometric,
   polynomials, exponentials), polylogarithms, solutions of
   q-symmetry problems.

Noncommutative Geometry and Physics (II).
  Main topics: Deformed spacetime (Poincare symmetry). Deformed
   harmonic oscillator (rotation group). Field theory on quantum

The Advisory Scientific Committee consists of
A. Connes, A. Van Daele,  K. Gawcedzki, M. Gerstenhaber,
M. Flato, T.H. Koornwinder, J.-H. Lu, J. Wess, S.L. Woronowicz.

Participation and registration:
Participants are expected to come, as a rule, for one week of their
choice (optionally, two weeks).  The Banach Center will cover the
living expenses of a limited number of participants.  Unfortunately,
no travel expenses can be covered.  To apply, please send an e-mail
message to szakrz@fuw.edu.pl (Stanislaw Zakrzewski, Scientific
Secretary) with the following data:
 - desired peiod of stay
 - domain of research, title/abstract of contribution
not later than July, 31.

The proceedings will be published as a special volume of the Banach
Center Publications.

Topic #5  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Alessandro Di Bucchianico <sandro@win.tue.nl>
Subject: Umbral Calculus Special Session: MIT, April 22-23, 1996

In honor of Gian-Carlo Rota's 64th birthday, the "RotaFest" conference
is being organized by Richard Stanley, Neil White and Richard
Ehrenborg at The Massachusetts Institute of Technology, Cambridge,
Massachusetts, USA next year from Monday, April 22 to Saturday, April
27, 1996.

This conference will include a two day workshop devoted to Rota's
Umbral Calculus. This special session will be held Monday and Tuesday,
April 22 and 23, 1996, and is organized by Alessandro Di Bucchianico,
Daniel Loeb, and Nigel Ray. (The session is in place of the previously
proposed NATO sponsored workshop in the Netherlands.)

Please let us know whether you are interested in attending.
We may organize a poster session if there is sufficient interest.

Note that there will be no special funding associated specifically with
the Umbral Calculus workshop.

We look forward to seeing you in Boston next year.

Topic #6<  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Peter Clarkson
Subject: Meeting on Symmetries and Integrability of Difference Equations

(shortened by OP-SF Net editor. The full preliminary announcement and
registration form can be obtained on request from the above email address).

Conference on Symmetries and Integrability of Difference Equations,
University of Kent, Canterbury, July 1st-5th 1996

A meeting on "Symmetries and Integrability of Difference Equations"
(SIDE) will be held at the University of Kent at Canterbury from
Monday 1st July to Friday 5th July 1996. This conference is the
successor of the meeting on the same topics held in Esterel, Quebec,
Canada in May 1994 (see OP-SF Net 1.1, Topic #7).

The proposed meeting, like its predecessor in Esterel, is planned to
bring together researchers who work in the field of symmetries and
integrability of difference equations. The subject area is relatively
young. In the past few years a great deal of progress has been made on
the mathematical aspects of discrete integrable systems, including
integrable dynamical mappings, ordinary and partial difference
equations, lattice solitons, discrete versions of the Painleve
equations, symmetry approaches and singularity analysis, and
applications to numerical analysis, computer science and physics. The
meeting in Esterel brought together for the first time many leading
experts in the various aspects of the field. As with the previous
meeting in Esterel, this meeting will be of an interdisciplinary
nature, and a source of contact between the different disciplines.

The conference is being organised by Professor Peter Clarkson,
Institute of Mathematics & Statistics, University of Kent
<P.A.Clarkson@ukc.ac.uk> and Dr Frank Nijhoff, Department of Applied
Mathematical Studies, Unversity of Leeds <frank@amsta.leeds.ac.uk>.
The scientific committee consists of Peter Clarkson, Frank Nijhoff,
Professor Thanasis Fokas, Loughborough University, U.K.
<A.S.Fokas@lut.ac.uk> and Professor Pavel Winternitz, University of
Montreal, Canada <wintern@ere.umontreal.ca>. The local management of
the meeting will be run by Peter Clarkson and Alan Common
<A.K.Common@ukc.ac.uk>, of the Institute of Mathematics & Statistics.

The conference finances will be run on a minimal basis with delegates
charged a small registration fee of 50 pounds and a residential fee of
about 40 pounds per day to cover bed, breakfast, lunch, coffee, tea and
evening meal. Anyone registering after 31 March 1996 will be charged
an additional late registration fee of 50 pounds. Accommodation is
limited so early registration is encouraged.  We will attempt to
attract some supporting grants. We are grateful to the Institute of
Mathematics & Statistics for financial support.

The organizers would like to encourage all communications regarding
the conference to be carried out by email as far as possible.  Please
email the organisers as soon as possible if you are interested in
participating in this meeting; this is not a definite commitment.

Topic #7  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Virginia Kiryakova <virginia@bgearn.acad.bg>
Subject: Workshop Transform Methods & Special Functions, II (1996)

(shortened by OP-SF Net editor. The full preliminary announcement and
registration form can be obtained on request from the above email address).

    Workshop "Transform Methods  &  Special  Functions, II" (1996)

                    (Preliminary  Announcement)

    The First International Workshop "Transform Methods & Special
Functions" took place in the resort town of Bankya (near Sofia),
Bulgaria in the period 12 - 17 August, 1994.
    In 1996 the 100th Anniversary of the eminent Bulgarian
mathematician Nikola Obrechkoff (1896 - 1963), whose achievements are
closely related to the above topics, will be celebrated in Bulgaria.
It is a good occasion to organize the Second International Workshop
"TM & SF". The proposed period of time is the last week of August,
1996 and the place is a Black Sea resort, near Varna (the birthplace
of N. Obrechkoff).
    More details on the exact period of time, registration fees,
accommodation and scientific programme will be given in the First
Announcement in October 1995. It will be sent to those who confirm
their interest in the meeting. If you are interested, please send an
email message to Virginia Kiryakova <virginia@bgearn.acad.bg or
virginia@bgearn.bitnet> mentioning your name, email address and
ordinary address and preliminary subject of your lecture.
    The Organizers will appreciate any suggestions and financial
supports.  Thank you in advance for your commitment and cooperation,
                                  the  Organizing Committee:
Prof. Dr Petar Rusev, Prof. Dr Ivan Dimovski, Prof. Dr Shyam L. Kalla
(Kuwait University), Asso. Prof. Dr Virginia Kiryakova, Asso. Prof.
Dr  Lyubomir Boyadjiev.

Topic #8  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Tom H. Koornwinder <thk@fwi.uva.nl>
Subject: Reports on Mini-Program Toronto

The Mini-Program on Special Functions, q-Series and Related Topics
(see OP-SF Net 2.2, Topic #5) was held during 12-23 June, 1995 at the
University of Toronto. I solicited short reports of the Miniprogram
from Marcel de Jeu and Doug Bowman, and I added one myself.  All these
reports give impressions rather than detailed and formal accounts.
Finally, George Gasper communicates a short note.

          Report by Marcel de Jeu <jeu@math.mit.edu>

>From June 12 to June 23, 1995, a workshop on special functions,
q-series and related topics was held at the University of Toronto,
under the auspicies of the Fields Institute For Research In
Mathematical Sciences. As the title already indicated, a great variety
of subjects were to be expected, both in the five minicourses during
the first week and in the contributed lectures during the second week.
Roughly speaking, the minicourses and the lectures could be divided
into three groups. The first group was concerned with special
functions and q-series as such (mostly in one variable), the second
group concentrated on the relationship between special functions,
q-series and representation theory (not necessarily in one variable),
and the third group treated miscellaneous aspects of special
functions, as diverse as e.g. connections with computer algebra,
combinatorics, probability theory and superbly converging algorithms
for approximations of pi. The topics in the latter category had the
virtue of appealing easily to a general uninitiated audience, but it
did not go unnoticed that the audiences for the first and second group
of topics appeared to be somewhat disjoint. Even though the theory of
special functions and the representation theory of (quantum) groups
are related, this has apparently not encouraged too many people to be
engaged in both fields - although there are of course exceptions. At
any rate, anyone interested in special functions must have found
something to choose from at this workhop - the diversity of the
program was a guarantee for that.

          Report by Doug Bowman <bowman@math.uiuc.edu>

The weather in Toronto for the Fields Institute session on q-series
and special functions was quite nice making attendance quite a
pleasure. The first week talks were tutorials which I think were
moderately successful, some drifted into the informal talk category,
some were quite competent introductory surveys of their subject, while
others were aimed at students and were replete with exercises. I
understand that one person even handed in solutions! I think that I
gained something from all that I attended. I found the atmosphere
among the international participants friendly, especially the second
week, when I think people had relaxed somewhat. The talks during the
second week were in general well presented, and toward the end a
disagreement even broke out after one talk livening up the atmosphere.
One fellow could be counted on throughout the conference to provide
comic relief, but I'm not sure that this was intentional. Another
highlight for me was attending planning sessions on a Bateman project
revision. I have always loved tables of special functions.

          Report by Tom Koornwinder <thk@fwi.uva.nl>

The Toronto workshop was great for me, first of all because I could
meet there so many colleagues in my field. Concerning the program, I
was in particular excited by the last week, which was more research
oriented than the first week and was also more intensive. The regular
program (9-12 a.m.  and 1.30-5.00 p.m.) was already quite tough in the
second week, but moreover there was a busy fringe program: two
business meetings on a possible Askey-Bateman book project and two
evening sessions on Multivariable Special Functions, Algebraic
Structures and Mathematical Physics, organized by Luc Vinet.  Some of
the lectures I heard there were among the most memorable things of my
two weeks in Toronto.

Compared to the Columbus NATO Advanced Study Institute of 1989 there
was less emphasis on classical analysis aspects and much more on
multi-variable, algebraic, formal and combinatorial aspects. In this
respect Toronto may not have given a completely balanced survey of the
state of the art in the theory of orthogonal polynomials and special
functions, but this will be easily compensated by some other meetings
in the past (e.g. Delft 1994) or in the future.

The first week was devoted to introductory minicourses. Then the
program was much more relaxed, starting only at 9.30 a.m. and often
ending at 3 p.m.  It is my feeling that we might have been slightly
more effective here if we had defined better for each course what
knowledge could be assumed and if some or all of the courses would
have comprised four rather than three one-hour lectures. There were
some tutorial sessions in connection with the minicourses.  For one
topic this was given by an advanced PhD student, for the other topics
it was done by the lecturers themselves. Since this was kind of an
experiment, I am curious to hear from participants whether they
appreciated these tutorials.  Another event in the first week, which I
personally liked very much, was a demonstration by Christian
Krattenthaler of his Mathematica package implementing part of the book
by Gasper and Rahman on Basic hypergeometric series.

The setting of the workshop, at the Oxford and Cambridge modeled St.
George campus in central Toronto, was superb. The lectures were in
University College, the building where the University of Toronto
started in the 19th century. Never before at a conference have I had
registration and refreshments service in such a nice room as here. It
was surprising that this historic building housed such well-equipped
lecture rooms, although better air conditioning would have been
welcome when outside temparatures rose to 36 degrees Celsius.  The
lecture room for the main lectures in the second week compensated for
this by having all doors open, including a door to the street.
Sometimes, a concert on nearby bells enlivened the lectures. This room
was very special by its high balcony and by the long stairs coming
down to the ground level. There was something very theatrical about
this room, and indeed, some of the lectures and subsequent discussions
were theater.

Social events included a barbecue in the first week in the pleasant
Hart House quadrangle and a banquet in the second week in the splendid
Great Hall of Hart House. Both occassions were also an opportunity for
fraternizing with the people of the parallel PDE workshop of the
Fields Institute. The banquet concluded with a piano recital by
Christian Krattenthaler, a man with many-sided talents.

The Fields Institute organisational machinery had some trouble getting
off the ground in the first week, but gradually everything went quite
smoothly, the congress secretary was kind and efficient, and the
refreshments in the breaks were delicious. David Masson, coordinator
of the scientific program (and of much more) has really done a great

          Note by George Gasper <george@math.nwu.edu>

On June 16th, for submitting the "best" set of solutions to three
exercises in the "q-Series" Minicourse by George Gasper, Dennis
Eichhorn was awarded an autographed copy of the N.M. Atakishiyev and
S.K. Suslov Russian translation of the Gasper and Rahman "Basic
Hypergeometric Series" book. It was autographed by the authors,
translators, and R. Askey who wrote the Foreword in the book.

Topic #9  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Francisco Marcellan <pacomarc@elrond.uc3m.es>
Subject: Report of Minisymposium at ICIAM '95 (Hamburg)

The Minisymposium "Orthogonal Polynomials and Spectral Methods" (see
OP-SF Net 2.3, Topic #7) was held on July 4 during ICIAM '95, Hamburg,
Germany, July 3-7, 1995. The organizers were Francisco Marcellan (EPS
Carlos III, Madrid, Spain) and Andre Ronveaux (Facultes Universitaires
N.D. de la Paix, Namur, Belgium). The Minisymposium was sponsored by
the SIAM Activity Group on Orthogonal Polynomials and Special

The program was as announced in OP-SF Net 2.3, except that
Maday's lecture was presented by Berardi and Iserles' lecture
by Norsett. So the actual speakers were:
1. Cristine Bernardi (joint work with Yvon Maday)
2. Syvert P. Norsett (joint work with Arieh Iserles and Jesus Sanz Serna)
3. Andre Ronveaux (joint work with Francisco Marcellan)
4. Bernie Shizgal

Topic #10  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Walter Van Assche <Walter.VanAssche@wis.kuleuven.ac.be>
Subject: Askey-Bateman project

Everyone interested in special functions probably knows the
Bateman Manuscript Project (A. Erd\'elyi et al.), which was
published in the 1950's.  This  project  consists  of three
volumes of "Higher Transcendental Functions"  and two books
of "Tables of Integral Transforms".  They  have been a rich
source of information for about 40 years now.

In the meantime  our knowledge of special functions and the
applicability of them has grown.  Some  aspects  of special
functions which are important in contemporary research  are
not covered in the Bateman manuscript project.  Furthermore
the newest technology (internet, WWW) forces us to consider
an online version of the Bateman project.

For some years people have started to play with the idea of
preparing an upgrade of the Bateman project, worthy for the
state-of-the-art at the end of the twentieth  century.  One
of the most  active in promoting the idea of a new  Bateman
project is Richard Askey.

During the Fields Institute mini program "Special Functions,
q-series and Related Topics" (June 1995)  in Toronto, we had
some planning meetings for a "Askey-Bateman project".
Mourad Ismail and Walter Van Assche  are ready to coordinate
this project and a list of possible topics has been compiled
and includes all the chapters already available in the  1950
Bateman project together with some new topics such as  group
representations and special functions,  q-series,  continued
fractions, hypergeometric functions of several variables and
matrix argument, and computer algebra for special functions.
Some  consultants  have been  proposed and for some  of  the
topics a number of people have already been assigned for the
preparation of a text. We have not yet been able to approach
everybody suggested in Toronto,  so we would rather not give
a list of names yet.

The SIAM activity group  "Orthogonal Polynomials and Special
Functions" can play an  active  role in  this  Askey-Bateman
project and the coordinators will attempt  to keep the group
informed of the progress.  We invite everyone interested  in
this project to contact the coordinators
  Mourad Ismail: ismail@math.usf.edu
  Walter Van Assche: walter@wis.kuleuven.ac.be
All help and suggestions are welcome.

Topic #11  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Hans J. Haubold
Subject: UN/ESA Workshops

In the past four years the United Nations (UN) in cooperation
with the European Space Agency (ESA) organized a series of
Workshops on Basic Space Science for the benefit of Third
World countries in four regions on Earth: Asia and the Pacific
(India 1991), Latin America and the Caribbean (Costa Rica and
Colombia 1992), Africa (Nigeria 1993), and Western Asia (Egypt
1994). Each Workshop programme addressed selected topics of
astronomy and brought to life an astronomical follow-up
project for the respective region, usually the establishment
of an astronomical observatory in a Third World country. This
series of Workshops was co-organized by the German Space
Agency (DARA), the International Centre for Theoretical
Physics Trieste (ICTP), the National Aeronautics and Space
Administration of the United States of America (NASA), and The
Planetary Society (TPS). A full account of the Workshop
deliberations is provided in the homepage at


The scientific programme in the past four Workshops focused on
astronomy and physics, also emphasizing analytical and
numerical mathematical techniques applied to problems in

The United Nations has been asked to organize a second circle
of Workshops on Basic Space Science of which the 1995 Workshop
will be held in Karachi, Pakistan (12-16 November 1995), again
for Asia and the Pacific, and the 1996 Workshop will be hosted
by Germany (date and location will be announced shortly), this
time for Europe; discussions are progressing well to have the
1997 Workshop again in Latin America and the Caribbean.

In all past Workshops it had been the desire of participating
scientists to increase the number of presentations addressing
topics in mathematics applied to problems in astrophysics. It
is the intention of this note to bring the above homepage to
the attention of Members of OP-SF Activity Group and to invite
you to advice the United Nations on whether you would like to
recommend mathematicians from Third World countries that are
working in the field of orthogonal polynomials and special
functions and their applications, preferably to problems in
astronomy and physics.

The United Nations is currently in contact with Wolfram
Research to channel more information on Mathematica into
universities and research institutes in the developing world.
Mathematica will be part of the programme of the next two
UN/ESA Workshops on Basic Space Science.

I would be happy to provide any further information as might
be appropriate.

Topic #12  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Paul Nevai <nevai@math.ohio-state.edu>
Subject: Szego bust

The dedication of the Szego bust (see OP-SF Net 2.2, Topic #8) is
planned on August 7, 1995 in Kunhegyes, Hungary (Szego died on
8/7/85). There is a chance that we could move the dedication to the
third week of August so that those participants of AFS95 (the
conference in Budapest) who would be interested (and willing) to be
bussed down to Kunhegyes could attend the dedication.

Request: If you plan to come to Budapest for AFS95 in August and if
you are interested in attending the Szego bust dedication in
Kunhegyes, please tell me (by e-mail <nevai@math.ohio-state.edu>)

Topic #13  ----------------  OP-SF NET  ----------------- July 13, 1995
From: OP-SF Net Editor <thk@fwi.uva.nl>
Subject: Obituary about Nathan Fine in Notices AMS

The Notices of the AMS, June 1995 contains at p.678 an obituary by
George Andrews about Nathan Fine, 1916-1994. I quote from his article:

 I first met Nat in 1961 when I began graduate school at the University
 of Pennsylvania. In 1962 I took his course "Basic Hypergeometric
 Functions" under the mistaken asumption thet "basic' meant
 "elementary". This was perhaps the most fortunate mistake I ever
 made. Twenty-six years later, I wrote the foreword to his book "Basic
 Hypergeometric Series and Applications".

The reference for this book is:
N.J. Fine, Basic hypergeometric series and applications,
Mathematical Surveys and Monographs 27, Amer. Math. Soc., 1988.

Topic #14  ----------------  OP-SF NET  ----------------- July 13, 1995
From: OP-SF Net Editor <thk@fwi.uva.nl>
Subject: Memorial note about Joe Gillis in Math. Intelligencer

The Mathematical Intelligencer 17 No. 2 (Spring 1995) contains at p.65
an article by Doron Zeilberger entitled "How Joe Gillis discovered
combinatorial special function theory". Joe Gillis died on November
19, 1993 at the age of 82 years. Zeilberger writes that Gillis had a
great influence on his mathematical development. According to
Zeilberger, the 1976 paper by Even and Gillis on Derangements and
Laguerre polynomials is the first time that a connection between
combinatorics and classical special functions was observed.

Topic #15  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Krishnaswami Alladi <alladi@math.ufl.edu>
Subject: A new journal: The Ramanujan Journal

Commencing with publication in 1997 Kluwer plans a new quarterly
journal: The Ramanujan Journal. It will be an international journal
devoted to the areas of mathematics influenced by Ramanujan.

Editor-in-Chief: Krishnaswami Alladi (University of Florida)

Coordinating Editors:
 Bruce Berndt (University of Illinois)
 Frank Garvan (University of Florida)

In adition, there is a large Editorial Board.

Scope: The Ramanujan Journal will publish original research papers of
the highest quality in all areas of mathematics influenced by
Srinivasa Ramanujan. His remarkable discoveries have made a great
impact on several branches of mathematics, revealing deep and
fundamental connections.

For a leaflet with further information and for instruction to Authors
please contact Kelly Kriddle <krkluwer@world.std.com>.

Topic #16  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Virginia Kiryakova <virginia@bgearn.acad.bg>
Subject: New Proceedings "Transform Methods & Special Functions"

            Proceedings of  First  International  Workshop

                Transform Methods & Special Functions

            Editors: P. Rusev, I. Dimovski, V. Kiryakova.
                SCT Publishing, Singapore 1995, 380 p.

    The First International Workshop "Transform Methods & Special
Functions" took place in the resort town of Bankya, near Sofia (Bulgaria),
12 - 17 August 1994.
    Organizing Committee: Prof-s  P. Rusev, I. Dimovski, S. L. Kalla
(Chairmen), Asso. Prof-s  V. Kiryakova, L. Boyadjiev (Secretaries).
    Main topics: Integral Transforms, Special Functions, Series Expansions,
Fractional Calculus and Generalizations, Algebraical Analysis, Operational
Calculus, Univalent Functions Theory and their applications to Complex
Analysis, Differential and Integral Equations.
    Participants: 46 mathematicians from  Australia, Bulgaria, Byelorussia,
Canada, Egypt, Germany, Italy, Japan, Kuwait, Poland, Russia, Taiwan, USA,
Vietnam and Yugoslavia.
    The volume contains invited surveys and papers submitted by the
participants, among them many eminent experts in the areas of the Workshop.
The authors are: A. Al-Zamel, P. Antosik - W. Kierat - K. Skornik,
I. Dimovski - R. Petrova, D. Dryanov - V. Vatchev, E. M. Elabd, S. Fukui,
H.-J. Glaeske, R. Gorenflo - R. Rutman, R. N. Kalia, S. L. Kalla, A. Kilbas
- M. Saigo, V. Kiryakova, S. Krasinska, A. Lecko - T. Yaguchi, E. R. Love,
F. Mainardi - M. Tomirotti, S. Mincheva, D. Nikolic-Despotovic, K. Nishimoto,
S. Owa, J. Paneva - Konovska, I. Podlubny, D. Przeworska, S. Rolewicz,
P. G. Rooney, P. Rusev, M. Saigo - A. Kilbas, H. Saitoh, T. Sekine,
Shih-Tong Tu - Ding-Kuo Chyan, K. Skornik, J. Sokol, J. Stankiewicz -
Z. Stankiewicz - K. Wilczek, B. Stankovic, D. Takaci - A. Takaci, Vu Kim
Tuan - R. Gorenflo, R. Yamakawa.
    Contents:  380 p. including  Preface,  List of Participants,
Appendix  (Photomaterials of the Workshop).

To order copies of the volume, please write directly to the Publisher:

Mr.  Willie Yong -  Science Culture Technology Publishing (SCTP)
AMK Central  Post  Office, P.O. Box 0581, Singapore  9156
Republic of  Singapore
Fax: +65-458-5540 ; E-mail: fbasumcc@nusvm.bitnet

Topic #17  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Alessandro Di Bucchianico <sandro@win.tue.nl>
Subject: Dynamic Survey of Umbral Calculus

Alessandro Di Bucchianico and Daniel Loeb have recently completed a
survey of the umbral calculus literature and submitted it to the
"Dynamic Surveys in Combinatorics" department  of the "Electronic
Journal of Combinatorics."

While awaiting its approval, this document is available in LaTeX
(source or hardcopy on request) and via the World Wide Web URL
It contains over 400 bibliographical references in DVI or PS format.
The references actually cited in the introduction (over 120) are given
in hypertext format, and links are given as available.

This survey is "dynamic" in that we are supposed to update it
regularly with:
        new references
        new links for old references.
For this, we need your help.
Please tell us of any papers that we have neglected to include in our
selected survey.
Also, give us links to
        any papers in our survey which are publically available over the Web,
        your WWW home pages, and
        any other relevant Web materials.

Thank you for your cooperation.

Topic #18  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Alessandro Di Bucchianico <sandro@win.tue.nl>
Subject: Maple Umbral Calculus Package

Anee Bottreau, Alessandro Di Bucchianico and Daniel Loeb have
developed a symbolic algebra package written in Maple to perform a
variety of calculations related to the umbral calculus.
The official release of this computer algebra toolkit is due at the
conference on Formal Power Series and Algebraic Combinatorics
(Marne-la-Vallee, France, May 29 - June 2 1995).

On request or by WWW
you can be sent Documentation "A Maple Umbral Calculus Package" (6
pages), or a tar file containing the actual Maple source code include
online help, and an example worksheet.  A 34 page report is also
available in French.

This package has already proven to be a useful research tool. For
example, our research on convolution sequences with persistent roots
began in April 1991. However, we were only able to classify such
sequences thanks to extensive computations with our Maple package.

We hope you find the package equally useful.

Topic #19  -----------------  OP-SF NET  ----------------- July 13, 1995
From: Paul Nevai <nevai@math.ohio-state.edu>
Subject: J. Approx. Theory Table of Contents on WWW

The WWW home page of J. Approx. Theory now gives access to
Word Search of back issues through Table of Contents and
to addresses and email lists of approximators. Some relevant
pages are


Topic #20  -----------------  OP-SF NET  ----------------- July 13, 1995
From: OP-SF Net editor <thk@fwi.uva.nl>
Subject: J. Physics A available on WWW

The Institute of Physics Publishing has made available the current
issues of some of its journals (including J. Physics A: Mathematical
& General) via WWW. One can access this service, under the name
Physics Express Letters, at the WWW address
For a trial period until the end of December 1995 this service is free,
although one has to fill out an on-line application form.

Topic #21  ----------------  OP-SF NET  ----------------- July 13, 1995
From: Nobuki Takayama <taka@math.s.kobe-u.ac.jp>
Subject: Kan, a system for computational algebraic analysis

Kan is a system for doing algebraic analysis by computer based on
computations of Groebner bases. We can do computations in the rings of
polynomials, differential operators, difference operators and
q-difference operators by the Kan system. The integrals (direct
images), restrictions (inverse images) and free resolutions of modules
can be computed by the system. These abilities can be used for
computation of invariants for D-modules and mechanical theorem
provings of binomial and special function identities. A tutorial is
also provided for the version 1.

Kan is developed and implemented by Nobuki Takayama, Department of
Mathematics, Kobe University, Japan. Kan is available for Unix
platforms by anonymous ftp at ftp.math.s.kobe-u.ac.jp in the directory
pub/kan. For questions, please contact the developer by email at
kan@math.s.kobe-u.ac.jp. A first version came out on April 19, 1992
and the latest version on January 7, 1995.

If one is interested in computing free resolutions, it is recommended
to use D-Macaulay that is based on Macaulay by D.Bayer and M.Stillman.
D-Macaulay is sharing a code with Kan and is more efficient for
computing free resolutions of D-modules. An alpha test version of
D-Macaulay is available from the same ftp site.

Topic #22  ----------------  OP-SF NET  ----------------- July 13, 1995
From: OP-SF Net editor <thk@fwi.uva.nl>
Subject: ftp and WWW addresses

Here follows an extension of the list of ftp and WWW
addresses relevant for our field, which was started in OP-SF Net 2.2,
Topic #11. Please let me know about further addresses. I am also
interested in hearing about WWW home pages and anonymous ftp sites of
individuals.  Below a (*) will mean that the address was not yet
included in the previous issue.


WWW:  http://gauss.technion.ac.il/lists/at-net

(*) Constructive Approximation
WWW: http://www.math.usf.edu/CA/index.html

Electronic Journal of Combinatorics:
WWW:   http://ejc.math.gatech.edu:8080/Journal/journalhome.html

Journal of Approximation Theory:
WWW:    http://www.math.ohio-state.edu/JAT

(*) Physics Express Letters (including J. Physics A):
WWW:   http://www.iop.org/

Seminaire Lotharingien de Combinatoire
WWW:    http://cartan.u-strasbg.fr/~slc

Preprint archives:

AMS preprint server:
WWW: http://e-math.ams.org/web/preprints/

hep-th (theoretical high energy physics):
email:  hep-th@xxx.lanl.gov  or  hep-th@babbage.sissa.it
WWW:    http://xxx.lanl.gov/hep-th

Orthogonal polynomials and related special functions (W. Al-Salam):
ftp:   euler.math.ualberta.ca

q-alg (quantum algebra including knot theory):
email: q-alg@eprints.math.duke.edu
WWW:   http://www.msri.org/preprints

Univ. of Amsterdam (Koelink, Koornwinder, Kuijlaars, Stokman):
ftp:   ftp.fwi.uva.nl, in directory


AMS e-MATH homepage:
WWW:  http://e-math.ams.org

Cern (Geneva):
WWW:   http://www.cern.ch

Computer Algebra Nederland (CAN):
WWW:  http://www.can.nl

Institute for Math. and its Appl., Minneapolis:
WWW:    http://www.ima.umn.edu

WWW:     http://www.siam.org
gopher:  gopher.siam.org
ftp:     ae.siam.org

(*) Simon Fraser CECM:

(*) United Nations Office for Outer Space Affairs:
WWW: ftp://ecf.hq.eso.org/pub/un/un-homepage.html

Other information:

Bibnet search:
WWW:  http://netlib.att.com/netlib/bibnet.html

Guide to Available Mathematical Software:
WWW:   http://gams.nist.gov

(*) MacTutor History of Mathematics archive (St. Andrews University, Scotland)

Mathematics Information Servers (Pennsylvania State University):
WWW:   http://www.math.psu.edu/OtherMath.html

WWW: http://netlib.att.com/netlib

Netlib Search:

Newsgroup sci.math:
WWW:   news:sci.math

Newsgroup sci.math.research:
WWW:   news:sci.math.research

Tables of contents of math journals:
WWW:   gopher://gopher.cecm.sfu.ca/11/Resources

WWW virtual library, mathematics (Florida State University):
WWW:   http://euclid.math.fsu.edu/Science/math.html


Peter Borwein:
WWW:   http://www.cecm.sfu.ca/personal/pborwein/Homepage.html

(*) Alessandro Di Bucchianico:
WWW:    http://www.win.tue.nl/win/math/bs/statistics/bucchianico

George Gasper:
WWW:   http://www.math.nwu.edu/preprints/gasper/index.html

(*) Wolfram Koepf:
WWW: ftp://elib.zib-berlin.de/pub/UserHome/Koepf/homepage.html

Daniel Loeb:
WWW: http://www.labri.u-bordeaux.fr/~loeb

Martin E. Muldoon:
WWW:   http://www.math.yorku.ca/Who/Faculty/Muldoon/menu.html

Paul Nevai:
WWW:   http://www.math.ohio-state.edu/~nevai

Herbert Wilf:
WWW:   http://www.cis.upenn.edu:80/~wilf

Doron Zeilberger:
Ftp:   ftp math.temple.edu, dir pub/zeilberg
WWW:   http://www.math.temple.edu/~zeilberg

Topic #23  -----------------  OP-SF NET  ----------------- July 13, 1995
From: OP-SF Net editor <thk@fwi.uva.nl>
Subject: Changes of address

Erik Koelink, working in the area of q-special functions and quantum
groups, moved from Katholieke Universteit Leuven, Belgium to Amsterdam.
His new address is:

 H.T. Koelink
 University of Amsterdam, Department of Mathematics
 Plantage Muidergracht 24
 1018 TV Amsterdam
 The Netherlands
 phone: +31-20-525 5091
 fax:   +31-20-525 5101
 email: koelink@fwi.uva.nl

Topic #24  ----------------  OP-SF NET  ----------------- July 13, 1995
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


on orthogonal polynomials and related special functions.
It can also be accessed by using World Wide Web (xmosaic or Mosaic)
at the address  ftp://euler.math.ualberta.ca.

Manuscripts can be obtained from directory  pub  and subdirectories.
In particular, examine the file  00Contents  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
     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 May 15 and July 10, 1995 the following additions were
put in the pub directory:

H.J. Haubold, An analytic solar model-physical principles and mathematical
     structure. (see /ftp/pub/haubold-mathai5.tex).

J. Guadalope, M. Perez, F. Ruiz and J. Varona, Weighted norm inequalities for
    polynomial expansions associated to some measures with mass points.
    (see /ftp/pub/weight-mass.tex).

M.S. Dijkhuizen and M. Noumi, A family of quantum projective spaces and
    related q-hypergeometric orthogonal polynomials.
    (see /ftp/pub/dijkhuizen-noumi.tex)

H.T. Koelink, Addition formulas for q-special functions
    (see /ftp/pub/koelink5.tex)

Topic #25  ----------------  OP-SF NET  ----------------- July 13, 1995
From: OP-SF Net editor <thk@fwi.uva.nl>
Subject: Obtaining back issues of OP-SF Net

Back issues of OP-SF Net can be obtained from
     ftp:     ftp.fwi.uva.nl, in directory
or   WWW:     http://math.ohio-state.edu/JAT

Contributions to the OP-SF Net 2.5 should reach the email
address  poly@siam.org  before September 1, 1995.

In order to join the SIAM Activity Group on Orthogonal Polynomials
and Special Functions, and thereby receive the Newsletter,
you have to become a member of SIAM. Contact the email address

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-  Special Functions and Orthogonal Polynomials.                      -
-  We disseminate your contributions on anything of interest to the   -
-  special functions and orthogonal polynomials community.  This      -
-  includes announcements of conferences, forthcoming books, new      -
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-  Information on joining SIAM                                        -
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-              Charles Dunkl, Chair                                   -
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-              Tom H. Koornwinder, Secretary and OP-SF Net Editor     -
-              Martin E. Muldoon, Program Director                    -
-      Newsletter Editor is:                                          -
-              Wolfram Koepf                                          -
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