OP-Sf Net Volume 8 Number 3



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-----Original Message-----
From: mailer@siam.org [mailto:mailer@siam.org]
Sent: Tuesday, May 15, 2001 5:44 PM
Subject: OP-Sf Net Volume 8 Number 3






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                                                  May 15, 2001

       O P - S F   N E T                    Volume 8, Number 3
       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       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. Symmetric Functions 2001
     3. 2001: A Mathematics Odyssey
     4. Summer school in Inzell, Germany
     5. Report on Lucknow Conference on Special Functions
     6. Arpad Elbert, 1939-2001
     7. opsftalk
     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

June 18-22: Symposium on Orthogonal Polynomials, Special Functions and
               Applications, Rome, Italy                   7.3 #2, 8.1 #3
June  24-29:  Workshop on "Advanced Special Functions and Related
             Topics in Probability and in Differential Equations",
                Melfi, Italy                                       8.2 #5
June 25 - July 6: Symmetric Functions 2001, Cambrdge, UK           8.3 #2
               (update of 7.5 #2)
July 2-12: Summer School on Applied Analysis, Hong Kong            7.5 #3
July 9-13: SIAM Annual Meeting, San Diego, California, USA
             See: http://www.siam.org/meetings/an01/
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 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 8-12 - SIAM 50th Anniversary & Annual Meeting
                  Philadelphia, Pennsylvania, USA
                 http://www.siam.org/meetings/an02/
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


Future plans:

* There are plans to organize summer schools on "Orthogonal Polynomials
and Special Functions" in Europe during the coming years. The first is in
in Inzell, Germany (September 17-21, 2001; see Topic #3 below). Others
planned are:

   -  2002 : in Belgium, July or August (contact person: Erik Koelink
      <koelink@dutiaw4.twi.tudelft.nl>

   -  2003 (July): in Portugal (contact person: Amilcar Branquinho).

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 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: From the Editor

This will be another busy summer for members of our Group.  The Rome Symposium
on
Orthogonal Polynomials, Special Functions and Applications will take place in
June
and we hope to report on the activities in one of the next issues.  The web site
for the Symposium is
http://www.mat.uniroma3.it/opsfa2001/
The invited speakers are:
    R. Askey (University of Wisconsin - USA)
    C. Dunkl (University of Virginia - USA)
    D. Sattinger (Utah State University - USA)
    D. Stanton (University of Minnesota - USA)
    S. K. Suslov (Arizona State University - USA)
    N. Temme (C.W.I. - Netherlands)
    W. Van Assche (K.U. Leuven - Belgium)
Sadly, Arpad Elbert, who was to have been an invited speaker, is no longer with
us (see Topic #6).

Another in the series of summer schools, organized by our Activity Group, will
be
held in Inzell, Germany in September. See Topic #4)



Topic #2  --------------   OP-SF NET 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Symmetric Functions 2001

[From the web site: http://www.newton.cam.ac.uk/programs/SFM/sfmw03.html]

              A NATO Advanced Study Institute
                  with support from the EC
      Isaac Newton Institute for Mathematical Sciences,
                       Cambridge, UK

                  symmetric functions 2001:
           surveys of developments and perspectives

     Directors: Sergey Fomin (Michigan); Grigori Olshanski
                     (Dobrushin Lab, IPPI)
     Organising Committee:  Phil Hanlon (Michigan); Ian G
      Macdonald (QMW); Andrei Okounkov (UC Berkeley)

                     25 June – 6 July 2001

Topics: Macdonald polynomials. Combinatorial and asymptotic problems in
representation theory, algebraic geometry, and mathematical physics.

Lecturers:   Persi Diaconis; William Fulton; Mark Haiman; Phil Hanlon;
Alexander Klyachko; Bernard Leclerc; Ian G. Macdonald; Masatoshi Noumi;
Andrei Okounkov; Grigori Olshanski; Eric Opdam; Anatoly Vershik; Andrei
Zelevinsky

Location and Costs: The Euro Summer School/NATO ASI will take place at
the Newton Institute and accommodation for participants will be provided in
single study bedrooms at Wolfson Court, a hall of residence adjacent to the
Institute.  The accommodation package (24 June – 7 July 2001) costs £650,
and includes accommodation, breakfast and evening meals plus lunch and
refreshments during the days that lectures take place. Limited financial support
may be available for those from NATO, Partner countries and Mediterranean
Dialogue countries.

The Euro Summer School/NATO ASI is also supported by the European
Community and funding is available to support some young researchers. It is
intended for nationals of EC Member States and of Iceland, Liechtenstein,
Norway, Israel, Bulgaria, Cyprus, Czech Republic, Estonia, Hungary, Latvia,
Lithuania, Poland, Romania, Slovakia, Slovenia and Switzerland, who must
all be under 35 years of age. Self-supporting participants of any age and
nationality are welcome to apply.  Numbers will be restricted to about 80
participants

Further Information:  Please contact Tracey Andrew, Programme and
Conference Secretary, Isaac Newton Institute for Mathematical Sciences, 20
Clarkson Road, Cambridge, CB3 0EH, UK, or via email to:
t.andrew@newton.cam.ac.uk

Closing Date for the receipt of applications is 16 February 2001



Topic #3  --------------   OP-SF NET 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: Cathy Bonan-Hamada <cbonan@mesastate.edu>
Subject: 2001:  A Mathematics Odyssey

Editor's Note: This is a shortened version of the second announcement.  The
first
announcement appeared in OP-SF NET 7.4, Topic #5. The registration and housing
forms have not been included but can be obtained (electronically) from the
organizers.

SECOND ANNOUNCEMENT

2001:  A Mathematics Odyssey - a conference on the analytic theory of continued
fractions, orthogonal functions, rational approximation and related topics
A Celebration of the 70th birthday of William B. Jones, Professor Emeritus,
University of Colorado, Boulder, USA
Location:
Mesa State College
Grand Junction, Colorado, USA
August 6-10, 2001

Sponsored by the School of Natural Sciences and Mathematics and the Office of
Academic Affairs at Mesa State College.

Organizers
Cathy Bonan-Hamada		   Phil Gustafson
cbonan@mesastate.edu               pgustafs@mesastate.edu
Phone:  970-248-1838 (office)	   Phone: 970-248-1176 (office)

Postal Address:  Cathy Bonan-Hamada and Phil Gustafson, Department of Computer
Science, Mathematics and Statistics, Mesa State College, 1100 North Ave, Grand
Junction, CO, 81501, USA

In recognition of the contributions Professor William B. Jones has made to the
field of continued fractions and rational approximation, the conference 2001: A
Mathematics Odyssey is organized in his honor.  The conference will be held
August 6-10, 2001, at Mesa State College in Grand Junction, Colorado, USA.

More information about Mesa State College can be found at www.mesastate.edu

The Grand Junction area is the largest urban center in Western Colorado, with a
regional population of approximately 100,000.  In August you can expect low
humidity, plenty of sunshine, warm days (about 95° Fahrenheit, 35° Celsius) and
temperate nights (about 65° Fahrenheit, 18° Celsius).

Accommodations

The organizers have reserved a block of rooms at Hawthorn Suites Ltd. located at
225 Main Street.  Conference participants will receive a rate of $79 per night
for a studio suite with one queen size bed or a rate of $89 per night for a
double studio suite with two queen size beds.  A complimentary hot breakfast
buffet is included.  All studio suites have a dataport, refrigerator, and
microwave.  The hotel also has a small indoor heated pool and spa and a fitness
center.  If you choose to stay at Hawthorn Suites, please fill out the
reservation form available from the organizers and fax it to the hotel directly.
The fax number is on the form.  Hawthorn Suites will hold the block of rooms for
the conference until July 2.

A block of rooms has also been reserved in Monument Hall on the Mesa State
College campus. The rooms are suite-style with two rooms sharing a bathroom.
Each room has two beds, two desks, and two desk chairs.  A single room will cost
$30 per night.  A shared room will cost $19 per person per night.  To make
reservations for Monument Hall, please fill out the housing form (available from
the organizers)  and mail with payment along with your registration to the
conference organizers by June 1.

There will be a program of social events and excursions.

Scientific Program

All participants are invited to give a talk.  It is anticipated that most talks
will be between 30 minutes and 1 hour. If you would like to give a talk, please
indicate the length and title of your talk on the registration form.  It is
possible that there will be time available for participants to give more than
one
talk.  If you would like to give more than one talk, please prioritize your
talks
on the registration form.  The organizers should receive an abstract for each
talk no later than July 15, 2001.

The room in which the majority of the talks will be given includes board space,
an overhead projector, a slide projector, video and computer projection systems,
audio systems, internet access, and PowerPoint 97.  If you need additional
information about the presentation capabilities of the room, please contact the
organizers.

Proceedings

The Rocky Mountain Journal of Mathematics has agreed to publish  the proceedings
of the conference.  Please indicate on the registration form whether you might
want to contribute to the proceedings.  Papers will be subject to the standard
editorial processes of RMJM.  The deadline for submitting papers to the
proceedings will be September 30, 2001.

Registration

A registration form is available from the organizers.  All quoted fees are in
U.S. dollars.  The organizers have decided to allow participants to customize
their fee by choosing (or not) to have lunch provided on campus, to attend the
conference dinner, and/or to attend the half day excursion.  The basic
registration fee of $75 includes basic conference costs, coffee breaks, and a
copy of the proceedings.  We have arranged for a daily catered buffet lunch to
be
provided on campus.  Total cost for five days is $50 per person. For those who
choose not to eat on campus, there are several fast food establishments within
walking distance.  The cost for participants and accompanying person(s) for the
conference dinner will be $35 per person.  The cost for participants and
accompanying person(s) for the half day excursion will be $30 per person.

Payment for conference fees can be make by enclosing a check from a U.S. bank
made out to Mesa State College or by credit card by filling in the appropriate
information on the registration form.

Deadline for registration and payment is June 1, 2001.

Money Exchange

It is extremely difficult (read impossible) to exchange money in Grand Junction.
Please exchange sufficient money before arriving.  Major credit cards are
accepted at most establishments and ATM  machines are available at several
locations.

Dates to Remember

June 1		Deadline for registration and on-campus housing forms and fees
July 2		Deadline for reservation form for Hawthorne Suites (fax directly
to hotel)
July 15		Abstracts due
August 6-10	Conference
August 11	White water raft trip
September 30	Deadline for submitting papers for the proceedings

Mailing Address

Dr. Cathy Bonan-Hamada and Dr. Phil Gustafson
Computer Science, Mathematics and Statistics
Mesa State College
1100 North Ave.
Grand Junction, CO 81501-3122   USA



Topic #4  --------------   OP-SF NET 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: Walter Van Assche <Walter.VanAssche@wis.kuleuven.ac.be>
Subject: Summer school in Inzell, Germany

Summer school in Inzell, Germany (September 17-21, 2001)

The SIAM Activity Group (SIAG) on Orthogonal Polynomials and Special Functions
is
organizing a series of summer schools. The first of this series was in Laredo,
Spain, in 2000. This year we kindly invite you to Inzell, Germany, in the Alps
southeast of Munich.  The goal of the Summer School is to give four introductory
courses in advanced research topics on orthogonal polynomials, harmonic
analysis,
approximation and applications. Some free discussions and some informal seminars
will also be available. The expected audience consists of graduate and recent
postgraduate students as well as young active researchers.

There will be four plenary mini-courses.
* H. Dette (Bochum, Germany): Canonical moments, orthogonal polynomials
  with applications to statistics
* K. Seip (Trondheim, Norway): On nonharmonic Fourier series: Riesz
  bases and frames of complex exponentials
* R. Swarcz (Wroclaw, Poland): Orthogonal polynomials with applications
  to Banach algebras
* Y. Xu (Eugene, Oregon, USA): Orthogonal polynomials of several
  variables

There will also be special sessions where the participants will have the
opportunity to give some short research seminars, as well as a panel discussion.
Because of the limited numbers of these seminars we kindly ask to participants
who want to present their own results to send us as soon as possible the
abstract. Priority will be given to those talks close to the main subjects of
the
school.

Web page: http://www.gsf.de/ibb/ag1/summerschool/



Topic #5  --------------   OP-SF NET 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: Walter Van Assche <Walter.VanAssche@wis.kuleuven.ac.be>
Subject: Report on Lucknow Conference on Special Functions

The following report was received from K. Srinivasa Rao (Convenor) and S.  Ahmad
Ali (Secretary).

The second annual conference of the Society for Special Functions and their
Applications (SSFA) was held in the historic city of Lucknow, from February 2 to
4, 2001. The delegates and the participants were housed in the Institute of
Management and Development of the U.P. Government, which was also the venue of
the conference. The inaugural function on Feb. 2 was presided over by Prof. S.
Bhargava (Mysore University), a vice president of the SSFA. Prof. S.K. Joshi --
former Director General of the Council of Scientific and Industrial Research,
Government of India and Chairman, Research and Assessment Committee, Defence
Research and Development Organization, Government of India -- was the chief
guest. It was a very special occasion for the Society since it felicitated Prof.
R.P. Agarwal, the Founder and Patron of SSFA, and a dedicated researcher in the
field of special functions, on the occasion of his 76th Birthday. Prof. K.
Srinivasa Rao (Institute of mathematical Sciences, Chennai), in his felicitation
speech, outlined the outstanding contributions of Prof. Agarwal, the awards and
honours conferred on him and emphasised the qualities of his leadership which
resulted in the formation of a dedicated group of research workers in the area
of
special functions and their applications and which led to the formation of the
SSFA. Prof. Joshi and Prof. Bhargava, while felicitating Prof.  Agarwal,
stressed
the importance of special functions in mathematics, physics and other applied
disciplines, such as, biological and social sciences. Prof. S. Kanemitsu (Kinki
University, Japan), one of the four foreign invitees to the conference,
delivered
a keynote address on "Higher Mathematics from an elementary point of view."

In this three-day meeting, fifteen invited talks were delivered by experts, --
including one by Prof. M. V. Subbarao (University of Alberta, Canada, read in
absentia by Prof. Bhargava) -- on different aspects of special functions and
their applications. Besides these, thirty-four research contributions were
presented by their authors.

The general meeting of the Society took place during this period and the
conference concluded on Feb. 4 with a valedictory function at which the
following
recommendations were adopted:

- To publish a journal of international quality for research papers, duly
refereed by experts, in the area of special functions and their applications.

- To encourage the starting of local chapters of the society, state-wise,
in places where there are twenty or more members to start with. The aims and
objectives of such chapters are to organize periodically lectures by experts
and to encourage young research workers in the field of special functions.

- To involve applied mathematicians, engineers and other users of
special functions to project their problems, especially those of interest
in the scientific and technological development of the country.

- To further strengthen the relationship of the Society with the Activity Group
on Orthogonal Polynomials and Special Functions of SIAM, in order to mutually
benefit by their experiences for the cause and furtherance of real life problems
facing physicists, applied mathematicians, engineers and other users of special
functions.



Topic #6  --------------   OP-SF NET 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: Martin Muldoon <muldoon@yorku.ca>
Subject: Arpad Elbert 1939-2001

Arpad Elbert died in Budapest on April 25th, 2001 after a recurrence of the
illness which had plagued him for nearly a year.  We were heartened by his
apparent recovery after surgery for a brain tumour last summer but,
unfortunately, the recovery was not to last.

Arpad was born in Kaposvar in southwestern Hungary on December 24, 1939 and
graduated in Mathematics from the Eotvos Lorand University, Budapest, in 1963,
being awarded the Medal for Higher Education. The rest of his career was
associated with the Mathematical Institute (founded in 1949 and later
named, after its first Director, the Alfred Renyi Institute) of the Hungarian
Academy of Sciences.  Through this Institute he received the Academy's degrees
of
Candidate - equivalent to the North American Ph.D.  - (1971) and Doctor of
Mathematical Sciences (1989). He had already been awarded the Grunwald Prize for
young mathematicians who have already done remarkable work before graduation
from
the Academy. His most recent position was that of Scientific Advisor, the
highest
scientific position in the Institute.

Arpad was the author or co-author of about 100 articles, mostly in the areas of
ordinary differential equations and special functions but including also
contributions to delay differential equations, Fourier analysis, approximation
theory and inequalities. In the great division between theory builders and
problems solvers he belonged the latter group and was always ready to help
others
with their mathematical problems. In 1977, John Lewis and I had made the
conjecture that the zeros of the Bessel J_\nu(x) were concave functions of \nu
for \nu > 0.  Soon after, Arpad gave an ingenious proof of the concavity on the
entire interval of definition of the zeros in question. He did this using only
classical tools making especially fruitful use of a formula in G. N. Watson's
"Treatise" on the derivative of a zero with respect to \nu. The formula was
well-known but little used previously.  Later Arpad (mostly with Andrea Laforgia
and occasionally others) was able to make much further use of this and related
formulas in the study of inequalities, monotonicity properties and convexity
properties of zeros of Bessel and related functions.  Whenever I am asked a
question in this or a related area my first reaction is to look at the thirty or
so articles of Elbert and Laforgia.  There is a good summary of some of this
work
in the paper based on Elbert's plenary talk at OPSFA-Patras which is to appear
in
Journal of Computational and Applied Mathematics.  Arpad's death makes a big
hole
in the program for the forthcoming OPSFA Symposium in Rome. I hope that the
time allotted to his lecture can be devoted so some tributes to him and his
work.

Arpad was a virtuoso in tough analytic calculations (tools like reversion of
series came to him naturally) with an unerring sense of when an inequality was
sharp and when an approximation might be replaced by an inequality.  In joint
work he alternated this role with that of devil's advocate concerning the
conjectures of others.  This gave a particular added value to a collaboration
with him. As Arpad became better known he had many collaborators and invitations
to visit institutions and conferences in Italy, Canada, Germany, Greece, the
Czech Republic and Japan among other places.  A notable collaboration was that
with Professor T. Kusano (Fukuoka University) on half-linear and other
differential equations.

Arpad will be remembered for his unfailing kindness and courtesy and as a valued
and generaous collaborator.  He is survived by his wife Marika and daughter
Judit, now at the beginning of her own mathematical career. A funeral service
will be held at Felsokrisztinavarosi Plebania Urnatemetoje, Budapest XII. ker.
Apor Vilmos ter 9, at 16:00 on June 29, 2001.

I am indebted to Gabor Halasz for his kindness and promptness in supplying me
with some biographical information and to Lee Lorch for some additional
suggestions.



Topic #7  --------------   OP-SF NET 8.3  ----------------  May 15, 2001
                           ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: opsftalk

Three topics were recently raised in opsftalk, the discussion group of our
Activity Group.

(1) Irine Peng asked about a special _3F_2 for which she did not have a
"closed-form"  formula, in all cases but which she wanted to show to be
non-zero.
R. Vidunas showed that it is not always non-zero and Victor Adamchik showed how
to write the _3F_2 as a finite sum.

(2) Vadim Kuznetsov (vadim@amsta.leeds.ac.uk) wrote:
I want to ask for opinions about one `strange spectral problem' where, in a
sense, the spectrum is the same as the eigenvalues.  Let us call this thing an
`eigen-vector-value-problem'. Technically, one solves the following system of n
equations:
(*)         \sum_k  A_{ijk} x_k = x_i x_j,        i,j,k=1,...,n,
assuming that it is compatible. Compatibility can be rephrased as the
commutativity of the matrices A_{i..} and of the matrices A_{.j.} collected from
the tensor A_{ijk}. Anyway, it is assumed.
HOW TO SOLVE SUCH (QUADRATIC?) PROBLEMS EFFECTIVELY? ON COMPUTER?
Notice that spectrum here is `the same' as eigenvalues, therefore for a given A
we have to find only the vector x.

(*) can be realized as either (inverted) linearization problem or, when
n=infinity and the operator A acts in some functional space, as a product
formula
for a special function.

So, my question can also be changed to the following: How to use product
formulas
for producing effective numerical methods for calculating the special function
itself?  After all (*) is a very particular spectral problem and one (maybe) can
use this fact to invent a fast numerical algorithm in order to calculate x.
Notice that x can be out of the hypergeometric class, so that a problem of its
calculation can be very non-trivial task.

(3) A question appearing in sci.math.research on the generalizing (to Jacobi
polynomials) the well-known expression for Chebyshev polynomials involving
sin((n+1)arccos x) led Tom Koornwinder to suggest a sum formula for
Gegenbauer (ultraspherical) polynomials in terms of trigonometric functions with
coefficients which can be found from known results in the literature.  A similar
result is known for q-ultraspherical polynomials.

Readers are encouraged to subscribe and sent their questions and comments
to opsftalk.  See the end of Topic #9 for details.



Topic #8  --------------   OP-SF NET 8.3  ----------------  May 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/0104268
Title: Crystal bases and q-identities
Authors: Masato Okado, Anne Schilling, Mark Shimozono
Categories: QA Quantum Algebra (MP Mathematical Physics)
Math Subject Class: 81R10; 17B65; 05A30; 82B20; 82B23; 05A17
Comments: 25 pages, style file axodraw.sty required
From: Anne Schilling <anne@math.mit.edu>
Date: Fri, 27 Apr 2001 17:58:55 GMT (33kb)

math.CA/0104260
Title: Integral Transform and Segal-Bargmann Representation Associated to
q-Charlier Polynomials
Author: Nobuhiro Asai
Categories: CA Classical Analysis (RT Representation Theory)
Math Subject Class: 33D45, 44A20,81S25,81R30
Comments: Accepted for the publication in "Quantum Information IV", T.
Hida and K. Saito (eds.), World Scientific
From: Nobuhiro ASAI <asai@iias.or.jp>
Date: Fri, 27 Apr 2001 12:03:10 GMT (8kb)

math.NT/0104249
Title: Irrationality of values of zeta-function
Author: Wadim Zudilin
Categories: NT Number Theory (CA Classical Analysis)
Math Subject Class: Primary 11J72; Secondary 33C60
Comments: 8+8 pages (English+Russian); to appear in the Proceedings of the
Conference of Young Scientists (Moscow University, April 9-14, 2001)
From: Wadim Zudilin <wadim@ips.ras.ru>
Date: Thu, 26 Apr 2001 06:50:43 GMT (15kb)

math.NT/0104221
Title: Irrationalite d'au moins un des neuf nombres zeta(5), zeta(7), ...,
zeta(21)
Author: Tanguy Rivoal
Categories: NT Number Theory
Math Subject Class: 11J72
Comments: 13 pages, submitted to Acta Arithmetica
From: Rivoal Tanguy <rivoal@math.unicaen.fr>
Version 1: Tue, 24 Apr 2001 11:34:48 GMT (8kb)
Version 2: Wed, 25 Apr 2001 14:55:03 GMT (8kb)

math.CO/0104026
From: Toufik Mansour <tmansur@study.haifa.ac.il>
Date: Mon, 2 Apr 2001 19:40:14 GMT   (6kb)
Gamma function, Beta function and combinatorial identities
Authors: T. Mansour
Comments: 9 pages
Subj-class: Combinatorics

math.CA/0104035
From: Neretin Yurii.A.  <neretin@imada.sdu.dk>
Date: Tue, 3 Apr 2001 11:58:53 GMT   (23kb)
Index hypergeometric transform and imitation of analysis of Berezin
kernels on hyperbolic spaces
Authors: Yurii Neretin
Comments: 33 pages
Report-no: ESI-1011
Subj-class: Classical Analysis; Representation Theory

math.CV/0104051
From: voros@spht.saclay.cea.fr (Andre Voros)
Date: Wed, 4 Apr 2001 14:27:12 GMT   (17kb)
Zeta functions for Riemann zeros
Authors: A. Voros (CEA/Saclay, SPhT - CNRS, Ura, France)
Comments: latex txt.tex, 1 file, 18 pages [SPhT-T01/033]
Report-no: SPhT-T01/033
Subj-class: Complex Variables; Number Theory
MSC-class: 11Mxx (Primary) 30B40 30B50 (Secondary)

math.CO/0104053
From: Alexander Berkovich <alexb@math.ufl.edu>
Date: Wed, 4 Apr 2001 18:33:46 GMT   (13kb)
Lattice paths, q-multinomials and two variants of the Andrews-Gordon
identities
Authors: Alexander Berkovich, Peter Paule
Comments: 15 pages, 9 figures
Subj-class: Combinatorics; Number Theory; Quantum Algebra
MSC-class: 05A10, 05A19, 11B65, 11P82

math.CO/0104137
From: Nobuhiro ASAI <asai@iias.or.jp>
Date: Thu, 12 Apr 2001 12:53:44 GMT   (6kb)
Bell numbers, log-concavity, and log-convexity
Authors: Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
Comments: Louisiana state university preprint (1999)
Subj-class: Combinatorics
MSC-class: 11B73;26A12;60H40
Journal-ref: Acta Appl. Math., 63 (2000) 79--87

math.NT/0104176
From: Jeffrey C Lagarias <jcl@research.att.com>
Date (v1): Wed, 18 Apr 2001 15:31:05 GMT   (42kb)
Date (revised v2): Thu, 19 Apr 2001 18:11:53 GMT   (42kb)
On a two-variable zeta function for number fields
Authors: Jeffrey C. Lagarias, Eric Rains
Comments: 50 pages Latex, one figure; typo in abstract corrected
Subj-class: Number Theory; Algebraic Geometry; Complex Variables
MSC-class: 11M41 Primary, 14G40, 60E37 Secondary

math.NT/0104178
From: Lucia Di Vizio <divizio@math.jussieu.fr>
Date: Wed, 18 Apr 2001 15:27:20 GMT   (168kb,S)
Arithmetic theory of q-difference equations. The q-analogue of
Grothendieck-Katz's conjecture on p-curvatures
Authors: Lucia Di Vizio
Comments: 45 pages
Subj-class: Number Theory; Quantum Algebra
MSC-class: 12H99 (33D15, 39A13)

math.CO/0104241
From: Sergey Fomin <fomin@math.lsa.umich.edu>
Date: Wed, 25 Apr 2001 15:42:27 GMT   (24kb)
The Laurent phenomenon
Authors: Sergey Fomin, Andrei Zelevinsky
Comments: 21 pages
Subj-class: Combinatorics
MSC-class: 14E05

math.CA/0103024
From: Michael Schlosser <mschloss@math.ohio-state.edu>
Date: Mon, 5 Mar 2001 19:10:28 GMT   (11kb)
A multidimensional generalization of Shukla's 8-psi-8 summation
Authors: Michael Schlosser (The Ohio State University)
Comments: 16 pages, AMS-LaTeX
Subj-class: Classical Analysis; Combinatorics; Quantum Algebra
MSC-class: 33D15; 33D6

math.CA/0103077
From: Kouichi TAKEMURA <kouichi.takemura@math.yokohama-cu.ac.jp>
Date: Tue, 13 Mar 2001 12:34:35 GMT   (19kb)
The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe
Ansatz method
Authors: Kouichi Takemura
Comments: 34 pages
Subj-class: Classical Analysis; Quantum Algebra; Exactly Solvable and
Integrable Systems; Mathematical Physics
MSC-class: 82B23; 33E15

math.QA/0103096
From: Valentin Ovsienko <Valentin.Ovsienko@cpt.univ-mrs.fr>
Date: Thu, 15 Mar 2001 10:59:27 GMT   (7kb)
Projectively equivariant quantization and symbol calculus: noncommutative
hypergeometric functions
Authors: C. Duval, V. Ovsienko
Comments: 9 pages, LaTeX
Report-no: CPT-2001/P.4145
Subj-class: Quantum Algebra; Differential Geometry

math.CA/0103131
From: Walter Van Assche <walter@wis.kuleuven.ac.be>
Date: Wed, 21 Mar 2001 15:03:02 GMT   (24kb)
Some classical multiple orthogonal polynomials
Authors: Walter Van Assche, Els Coussement
Subj-class: Classical Analysis
MSC-class: 42C05; 33C45
Journal-ref: J. Comput. Appl. Math. 127 (2001), 317-347

hep-th/0103178
From: Pierre Mathieu <pmathieu@phy.ulaval.ca>
Date: Wed, 21 Mar 2001 19:02:11 GMT   (33kb)
Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials
Authors: P. Desrosiers, L. Lapointe, P. Mathieu
Comments: Latex 2e, 30 pages
Subj-class: High Energy Physics - Theory; Mathematical Physics; Exactly
Solvable and Integrable Systems; Quantum Algebra

hep-th/0103190
From: Artemio Gonzalez-Lopez <artemio@ciruelo.fis.ucm.es>
Date (v1): Thu, 22 Mar 2001 15:37:50 GMT   (42kb)
Date (revised v2): Wed, 18 Apr 2001 11:00:26 GMT   (42kb)
New spin Calogero-Sutherland models related to B_N-type Dunkl operators
Authors: F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez, M.A. Rodriguez, R.
Zhdanov
Comments: 18 pages, typeset in LaTeX 2e using revtex 4.0b5 and the
amslatex package Minor changes in content, one reference
added
Subj-class: High Energy Physics - Theory; Mathematical Physics; Exactly
Solvable and Integrable Systems

nlin.SI/0104019
From: Lafortune <lafortus@crm.umontreal.ca>
Date: Fri, 6 Apr 2001 19:48:08 GMT   (9kb)
Discrete systems related to some equations of the Painlev\'e-Gambier
classification
Authors: S. Lafortune, B. Grammaticos, A. Ramani, P. Winternitz
Comments: 10 pages
Subj-class: Exactly Solvable and Integrable Systems
Journal-ref: Physics Letters A 270, 55-61 (2000)



Topic #9  --------------   OP-SF NET 8.3  ----------------  May 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
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Topic #10  --------------   OP-SF NET 8.3  ----------------  May 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
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Contributions to OP-SF NET 8.4 should be sent by July 1, 2001.

Please send your (printed) Newsletter contributions directly to the Editors:

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Departamento de Analisis Matematico
Universidad de Sevilla
Apdo. Postal 1160,
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fax: +34-95-455-7972
e-mail: renato@gandalf.ugr.es
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Universidad de Granada
E-18071 Granada, Spain
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   OP-SF NET is a forum of the SIAM Activity Group on
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