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-                                                                     -
-                                            November 15, 1999        -
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-      O P - S F   N E T                    Volume 6, Number 6        -
-      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~        -
-      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.  Third Workshop on Orthogonal Polynomials, Approximation and 
              Harmonic Analysis
     3.  Laredo Summer School
     4.  Berkeley Workshop on Computational Algebraic Analysis
     5.  San Diego Symposium on Asymptotics and Applied Analysis
     6.  New Book on Grobner Deformations of Hypergeometric Differential
              Equations
     7.  W.T. and Idalia Reid Prize
     8.  Call for Nominations: SIAG/LA Prize
     9.  Acknowledgment from B. Anicin
    10.  OP-SF preprints in xxx archive
    11.  Changes of Address, WWW Pages, etc
    12.  Subscribing to OP-SF NET
    13.  Obtaining back issues of OP-SF NET and submitting contributions
         to OP-SF NET and Newsletter

Calendar of Events:

2000
January 5-7: Workshop on Computational Algebraic Analysis
                     Berkeley, California, USA             6.4 #5, 6.6 #4
January 10-14: Symposium on Asymptotics and Applied Analysis 
                     San Diego, California, USA            6.4 #6, 6.6 #5
March 27-31: Workshop on Quantum Groups, Morelia, Mexico           6.5 #3
April 14-18: Workshop on Orthogonal Polynomials, Approximation and
                Harmonic Analysis, Inzell, Germany                 6.6 #2
May 17-20: Symposium on Trends in Approximation Theory,
             Nashville, Tennessee, USA                             6.5 #4
May 29 - June 9:  Special Functions 2000: Current Perspective 
            and Future Directions, Tempe, Arizona, USA             6.5 #2
July 3-7: Alhambra 2000, a Joint Mathematical European-Arabic
                     Conference                                    6.4 #7
July 10-14: SIAM Annual Meeting in Puerto Rico
             See: http://www.siam.org/meetings/an00/index.htm
July 17-22: I Colloquium on Lie Theory and Applications,
                      Vigo, Spain                                  6.4 #8 
July 24-29: Summer School "Orthogonal Polynomials and Special
               Functions", Laredo, Spain.                          6.6 #3
August 14-18: International Symposium on Applied Mathematics,
               Dalian, China                                       6.5 #5

Topic #1  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET editor <muldoon@yorku.ca>
Subject: From the Editor

OPSFA-Patras, the International Symposium on Orthogonal Polynomials,
Special Functions and Their Applications was held in Patras, Greece, on
September 20-24, 1999.  The local organizers, including Evangelos Ifantis, 
Chrysoula Kokologiannaki and Panos Siafarikas, did a tremendous in
welcoming the large attendance with a memorable scientific and social
programme. Our next issue will feature fuller reports on the Symposium
from a few of those attending.

At the panel discussion during the Hong Kong Workshop (Special Functions: 
Asymptotics, Harmonic Analysis, and Mathematical Physics) in June, there
was a proposal that the SIAM activity group might provide coordination for
the future planning of meetings on orthogonal polynomials and special
functions.  Of course we already have a list (above) of meetings actually
planned.  But often there is a considerable lapse of time between when a
meeting is at first contemplated and an actual formal announcement can be
made. If you are planning to organize a workshop, summer school, conference,
special session, etc., we suggest that you inform one of the officers
of the SIAM activity group.  Please contact the local organizers in case
of conflict or for finding a solution for possible overlap.  The SIAM   
activity group will not be involved in the actual organization.

In this spirit, it was announced in Patras that the next meeting in the
European series on Orthogonal Polynomials (the sequence which included
meetings in Bar-le-Duc, Erice, Sevilla, Patras and other places) will be
held in Italy in 2001. The contact person is Andrea Laforgia
(laforgia@dma.uniroma3.it).

As already mentioned in OP-SF NET 6.5, the next meeting in the series
Fields-Toronto (1995)  - CRM-Montreal (1996) - Mount Holyoke (1998) - Hong
Kong (1999)  - Arizona (2000) is expected to be held in the Netherlands in
2002 and to be organized by Tom Koornwinder (thk@uwa.wins.nl), Nico Temme
(nico@cwi.nl)  and Erik Koelink (koelink@twi.tudelft.nl).

Topic #2  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Third Workshop on Orthogonal Polynomials, Approximation and 
              Harmonic Analysis

[This information is form the web site:
http://www.gsf.de/institute/ibb/prestin/work3.html]

                              Third Workshop 
                           Orthogonal Polynomials 
                    Approximation and Harmonic Analysis 
                           Inzell April 14-18, 2000 
                              (Friday - Tuesday) 

The third Workshop on Orthogonal Polynomials will focus on approximation
theoretic methods and the relationship to harmonic analysis. The Workshop
will take place at Inzell located in the Alps southeast of Munich.

More informations will be available soon. 

Organizing Committee: S. Ehrich, F. Filbir, R. Girgensohn, R. Lasser, J.
Obermaier, J. Prestin 

Mailing Address: 

    Dr. J. Prestin
    Institute for Biomathematics and Biometry der 
    GSF - National Research Center for Environment and Health 
    D-85764 Neuherberg, Germany

    e-mail: prestin@gsf.de

Topic #3  ------------    OP-SF NET 6.6   ----------- November 15, 1999
                          ~~~~~~~~~~~~~
From: Paco Marcellan  <pacomarc@ing.uc3m.es>
Subject: Laredo Summer School

The following (with slight corrections) is from the web site:
http://merlin.us.es/~renato/laredo/

                           SUMMER SCHOOL ON 
                        ORTHOGONAL POLYNOMIALS 
                                 AND 
                          SPECIAL FUNCTIONS
                     "SIAG OP-SF Summer School" 2000
                        (Preliminary Announcement)
                     Laredo, Spain,  July 24-29, 2000

The SIAM Activity Group (SIAG) on Orthogonal Polynomials and Special
Functions intends to organize a series of summer schools starting next
year. The first such meeting will take place in Laredo, Spain. Laredo is a
"small" village located on the Cantabrian coast of Spain (on the Atlantic
near Santander). There is a domestic airport in Santander but there are
also train and bus connections from Madrid. From the point of view of
tourism, Laredo is very well known because of the most wonderful and
longest beach in the North of Spain.

The goal of the Summer School is to give 5 introductory courses in
advanced research topics on Orthogonal Polynomials and Special Functions.
Some free discussions as well as some informal seminars will also be
available. The expected audience are graduate and recent postgraduate
students (around 25 people who will receive grants for their living
expenses and accommodation)  and active researchers (around 35 people). 

The topics to be considered will be: 

    Spectral Theory 
    Matrix Orthogonal Polynomials 
    Wavelets 
    Multivariable Orthogonal Polynomials 
    Asymptotic Analysis 

There will be 5 plenary mini-courses. The titles can be found below. Also
there will be special sessions where the participants will have the
opportunity to give short research seminars and/or posters, as well as a
panel discussion. Because the small number of these seminars we kindly ask
the participants who want to present their own results to send us (by
e-mail), as soon as possible, an abstract (no more that one page).
Priority will be given to those talks are closely related to the main
subjects of the school. Information about registration, registration fee,
etc., will be appear in a later announcement. 

Invited speakers and mini-courses

- A. J. Duran (Universidad de Sevilla, Spain) 
   "Matrix Orthogonal Polynomials" 

- H. T. Koelink (Technische Universiteit Delft, The Netherlands) 
   "Spectral Theory and Special Functions"
 
- K. T.-R. McLaughlin (University of Arizona, USA) 
   "Asymptotic Analysis of Riemann-Hilbert Problems and Orthogonal
       Polynomials" 

- J. Prestin (Institute of Biomathematics and Biometry, Neuherberg, 
     Germany) 
   "Polynomial Wavelets'' 
   
- J. Stokman (Centre de Mathematiques de Jussieu, Universite 
     Pierre et Marie Curie, Paris, France) 
   "Multivariable Orthogonal Polynomials associated with non-reduced
        affine root systems" 

The Organizing Committee is: 

    R. Alvarez-Nodarse (Univ de Sevilla, Spain), 
    F. Marcellan (Univ. Carlos III, Spain) 
    W. Van Assche (Katholieke Universiteit Leuven, Belgium) 
    R. Yanez (Univ. de Granada, Spain) 

To get more information please contact: 

Renato  Alvarez-Nodarse <ran@cica.es> or 
Francisco Marcellan <pacomarc@ing.uc3m.es>

Topic #4  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Berkeley Workshop on Computational Algebraic Analysis

In OP-SF NET 6.4, Topic #5, there was an announcement of the 
Workshop on Computational Algebraic Analysis to be held in Berkeley,
California, USA, January 5-7, 2000.  The complete program of talks is now
available at the Workshop web site:
http://msri.org/activities/events/9900/caa/

Topic #5  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: San Diego Symposium on Asymptotics and Applied Analysis

The Symposium was announced in OP-SF NET 6.4, Topic #6.  The following more
up-to-date information is taken from the Symposium web site
http://www.sci.sdsu.edu/math_cs/asymptotics2000
    
            SAN DIEGO SYMPOSIUM ON ASYMPTOTICS AND APPLIED ANALYSIS 
                           January 10 - 14, 2000
                                Organizers: 
                          T. M. Dunster and D. A. Lutz 
                   Department of Mathematical and Computer Sciences 
                           San Diego State University 
                           San Diego, CA 92182-7720
                                  U.S.A 

                 email: dunster@math.sdsu.edu or lutz@math.sdsu.edu

This symposium will consist of talks in the following three categories of
asymptotics and applied analysis: difference equations, ordinary differential
equations, and functions defined by integrals. The first of these would
emphasize representations for solutions in large sectors and asymptotic methods
involving special functions. Included in the second and third categories would
be new results related to exponentially-improved asymptotics and
hyperasymptotics, summation of divergent solutions, connection problems, error
analysis, and applications to special functions. In all of the above three
areas physical applications would be covered under the scope of the symposium:
for example new results in wave physics (where asymptotics describes the
high-frequency limit and separation of variables leads to ordinary differential
equations with a large parameter), and tunneling in quantum mechanics (where
asymptotics of certain special functions could be used in the determination of
exponentially small widths of energy bands in one-dimensional potentials).

The following have agreed to participate as principal speakers:: F.  W. J. 
Olver (Maryland), R. Askey (Wisconsin), W. Balser (Ulm, Germany), C.  Bender
(St. Louis), M. Berry (Bristol, UK), B.  Braaksma (Netherlands), F. Pham
(Nice, France), R. Schaefke (Strasbourg, France), Y. Sibuya (Minneapolis), N. 
Temme (Netherlands), and R. Wong (Hong Kong). Each will give a 50 minute talk
focusing on significant, new developments. In addition, there will be a series
of shorter 30 minutes talks from other participants. Post-doctoral and
graduate students, and especially those from under-represented groups, are
encouraged to attend. 

The web site also includes a registration form, a form for submitting
abstracts, an SDSU location map, travel information for San Diego and
accommodation information. 

Topic #6  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: Bernd Sturmfels <bernd@math.berkeley.edu>
Subject: New Book on Grobner Deformations of Hypergeometric Differential
              Equations 

The following information is taken from the web site
http://www.springer.de/cgi-bin/search_book.pl?isbn=3-540-66065-8

Grobner Deformations of Hypergeometric Differential Equations 
Saito, M., Hokkaido University, Sapporo, Japan
Sturmfels, B., University of California, Berkeley, CA, USA
Takayama, N., University of Kobe, Japan
1999. VIII, 254 pp. 14 figs. 
ISBN: 3-540-66065-8 
Publication date: November 18, 1999 
DM 69,- Recommended List Price

Fields: Differential, Difference and Integral Equations; Symbolic
Computation, Computer Algebra; Algebraic Geometry

Written for: Researchers and graduate students in mathematics 
Book category: Graduate Textbook 

In recent years, new algorithms for dealing with rings of differential
operators have been discovered and implemented. A main tool is the theory
of Grobner bases, which is reexamined here from the point of view of
geometric deformations. Perturbation techniques have a long tradition in
analysis; Grobner deformations of left ideals in the Weyl algebra are the
algebraic analogue to classical perturbation techniques. The algorithmic
methods introduced here are particularly useful for studying the systems
of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov
and Zelevinsky. The Grobner deformation of these GKZ hypergeometric
systems reduces problems concerning hypergeometric functions to questions
about commutative monomial ideals, and leads to an unexpected interplay
between analysis and combinatorics. This book contains a number of
original research results on holonomic systems and hypergeometric
functions, and raises many open problems for future research in this area. 

Keywords: hypergeometric functions, Grobner bases, holonomic systems, Weyl
algebra, combinatorial commutative algebra

Contents: 
Chapter 1. Basic Notions.- 
Chapter 2. Grobner Deformations of Regular Holonomic Systems.- 
Chapter 3. Hypergeometric Series.- 
Chapter 4. Rank versus volume.- 
Chapter 5. Integration of D-modules 

Series: Algorithms and Computation in Mathematics. VOL. 6

Topic #7  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: W.T. and Idalia Reid Prize
                              
                             CALL FOR NOMINATIONS
                                     for
                         W. T. AND IDALIA REID PRIZE
     
     The Reid Prize
     --------------
     SIAM will present the W.T. and Idalia Reid Prize at the 2000 SIAM 
     Annual Meeting at the Westin Rio Mar Beach Resort in Puerto Rico next 
     July 10-14.  The award will be given for research in, or other 
     contributions to, the broadly defined areas of differential equations 
     and control theory.  The prize may be given either for a single 
     notable achievement or for a collection of such achievements.
     
     Eligibility
     -----------
     The prize is awarded to any member of the scientific community who 
     meets the general guidelines of the prize description above.
     
     Description of Award
     --------------------
     The award consists of an engraved medal and a $10,000 cash prize, plus 
     travel expenses to attend the prize ceremony.
     
     Nominations
     -----------
     A letter of nomination, including a description of achievement(s) 
     should be sent by February 1, 2000 to:
     
                Professor John A. Burns
                Chair, Reid Prize Selection Committee
                c/o A. G. Bogardo
                SIAM
                3600 University City Science Center
                Philadelphia, PA 19104-2688
                Telephone: (215) 382-9800
                Fax:       (215) 386-7999
                E-mail:    bogardo@siam.org
     
     Selection Committee
     -------------------
     Members of the selection committee are John A. Burns, Chair (Virginia 
     Institute of Technology and State University); H. Thomas Banks (North 
     Carolina State University); James G. Glimm (State University of New 
     York at Stony Brook); John Guckenheimer (Cornell University); and 
     Arthur J. Krener (University of California, Davis).
     

Topic #8  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: Allison Bogardo <bogardo@siam.org>
Subject: Call for Nominations: SIAG/LA Prize 
     
                                   CALL FOR NOMINATIONS
                                           for
                         SIAM ACTIVITY GROUP ON LINEAR ALGEBRA PRIZE
     
     The SIAG/LA Prize
     -----------------
     The SIAM Activity Group on Linear Algebra will present the award at its 
     Seventh SIAM Conference on Applied Linear Algebra at North Carolina State 
     University in October 2000.  The prize, the fifth to be given, is awarded 
     to the author(s) of the most outstanding paper on a topic in applicable 
     linear algebra published in a peer-reviewed journal.
     
     Eligibility
     -----------
     Candidate papers must be published in English in a peer-reviewed journal 
     bearing a publication date between January 1, 1997 through December 31, 
     1999.  The papers must contain significant research contributions to the 
     field of linear algebra, as commonly defined in the mathematical 
     literature, with direct or potential applications.  Nominations should 
     include a full bibliographic citation for the paper and a brief statement 
     outlining the justification for the nomination in terms of its importance 
     and impact.
     
     Authors are discouraged from nominating their own papers.
     
     Description of Award
     --------------------
     The award consists of a plaque and a certificate containing the 
     citation. 
     
     Nominations
     -----------
     Nominations including a copy of the nominated paper should be sent by 
     March 15, 2000 to:
      
                Professor Volker Mehrmann
                Chair, SIAG/LA Prize Selection Committee 
                c/o A. G. Bogardo
                SIAM
                3600 University City Science Center
                Philadelphia, PA 19104         
                Telephone: 215-382-9800
                Fax:  215-386-7999
                E-mail: bogardo@siam.org
     
     Selection Committee
     -------------------
     The members of the selection committee for the award are Volker 
     Mehrmann (TU Chemnitz), chair; Uwe Helmke (University of Wuerzburg); 
     Daniel Hershkowitz (Technion Haifa); Nicholas Higham (University of 
     Manchester); and Zdenek Strakos (Emory University).
     

Topic #9  ------------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca> 
Subject: Acknowledgment from B. Anicin

B. A. Anicin, Circuit theory of video display lines, IEE Proc.- Micro.
Antennas Propag, vol. 146, no. 1, February 1999, pp. 65-69, acknowledges
the help of Professors J. Boersma and M. L. Glasser with certain integral
relations which arose in the study in question. Questions concerning these
integrals were posed by Anicin in OP-SF NET 5.1.

Topic #10  -----------    OP-SF NET 6.6   -----------   November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <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 or cross-listed 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

E-print math.AG/9911030 
Title: Rational Hypergeometric Functions 
Authors: Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels 
Categories: AG Algebraic Geometry (CO Combinatorics) 
Report number: MSRI 1999-051 
Comments: LaTeX, 26 pages 
Abstract: Multivariate hypergeometric functions associated with toric
varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities
of such functions are discriminants, that is, divisors projectively dual to
torus orbit closures. We show that most of these potential denominators never
appear in rational hypergeometric functions. We conjecture that the
denominator of any rational hypergeometric function is a product of
resultants, that is, a product of special discriminants arising from Cayley
configurations. This conjecture is proved for toric hypersurfaces and for
toric varieties of dimension at most three. Toric residues are applied to show
that every toric resultant appears in the denominator of some rational
hypergeometric function.
From: Eduardo Cattani <cattani@math.umass.edu> 

E-print math.CA/9910128 
Title: Riccati equations and convolution formulas for functions of Rayleigh
type 
Authors: Dharma P. Gupta, Martin E. Muldoon 
Categories: CA Classical Analysis 
Math Subject Class: 33C10 
Abstract: N. Kishore, Proc. Amer. Math. Soc. 14 (1963), 523, considered the
Rayleigh functions sigma_n, sums of the negative even powers of the (non-zero)
zeros of the Bessel function J_nu(z) and provided a convolution type sum
formula for finding sigma_n in terms of sigma_1, ...,sigma_{n-1}. His main tool
was the recurrence relation for Bessel functions. Here we extend this result to
a larger class of functions by using Riccati differential equations. We get new
results for the zeros of certain combinations of Bessel functions and their
first and second derivatives as well as recovering some results of Buchholz for
zeros of confluent hypergeometric functions.
From: Martin E. Muldoon <muldoon@yorku.ca> 

E-print math.CA/9910045 
Title: Special Values of Multiple Polylogarithms 
Authors: Jonathan M. Borwein, David M. Bradley, David J. Broadhurst, Petr
Lisonek 
Categories: CA Classical Analysis (CO Combinatorics) 
Math Subject Class: 40B05; 33E20 
Comments: 35 pages 
Abstract: Historically, the polylogarithm has attracted specialists and
non-specialists alike with its lovely evaluations. Much the same can be said
for Euler sums (or multiple harmonic sums), which, within the past decade, have
arisen in combinatorics, knot theory and high-energy physics. More recently, we
have been forced to consider multidimensional extensions encompassing the
classical polylogarithm, Euler sums, and the Riemann zeta function. Here, we
provide a general framework within which previously isolated results can now be
properly understood. Applying the theory developed herein, we prove several
previously conjectured evaluations, including an intriguing conjecture of Don
Zagier.
From: David M. Bradley <bradley@gauss.umemat.maine.edu> 

E-print math.CA/9909162 
Title: Asymptotic Series for Some Painleve VI Solutions 
Author: V. L. Vereschagin 
Categories: CA Classical Analysis (AG Algebraic Geometry) 
Comments: 11 pages, LaTeX 
Abstract: The paper concerns asymptotic studies for the sixth Painleve
transcendent as independent variable tends to infinity. The primary tool is
averaging and the Whitham method. Elliptic ansatz, appropriate modulation
equation and asymptotics for some partial solution to PVI are found.
From: Vadim Vereschagin <vadim@mail.icc.ru> 

E-print math.CO/9910096 
Title: Combinatorics of geometrically distributed random variables: New
q-tangent and q-secant numbers 
Author: Helmut Prodinger 
Categories: CO Combinatorics 
Math Subject Class: 05A15 
Comments: If you want to see more of my papers, go here:
http://www.wits.ac.za/helmut/paperlst.htm 
Abstract: Up-down permutations are counted by tangent resp. secant numbers. 
Considering words instead, where the letters are produced by independent
geometric distributions, there are several ways of introducing this concept; in
the limit they all coincide with the classical version. In this way, we get
some new q-tangent and q-secant functions. Some of them also have nice
continued fraction expansions; in one particular case, we could not find a
proof for it. Divisibility results a la Andrews/Foata/Gessel are also
discussed.
From: Helmut Prodinger <helmut@cam.wits.ac.za> 

E-print math.CO/9909053 
Title: Change of base in Bailey pairs 
Authors: David Bressoud, Mourad Ismail, Dennis Stanton 
Categories: CO Combinatorics (NT Number Theory) 
Math Subject Class: 05A17; 11P81; 17B68 
Abstract: Versions of Bailey's lemma which change the base from q to q^2 or q^3
are given. Iterates of these versions give many new versions of multisum
Rogers-Ramanujan identities.  We also prove Melzer's conjectures for the
Fermionic forms of the supersymmetric analogues of Virasoro characters.
From: David M. Bressoud <bressoud@macalester.edu> 

E-print math.QA/9909044 
Title: A generalization of the q-Saalschutz sum and the Burge transform 
Authors: A. Schilling, S. O. Warnaar 
Categories: QA Quantum Algebra (CO Combinatorics) 
Math Subject Class: 33D15; 05A30; 05A10 
Report number: ITFA-99-24 
Comments: 18 pages, AMSLaTeX 
Abstract: A generalization of the q-(Pfaff)-Saalschutz summation formula is
proved. This implies a generalization of the Burge transform, resulting in an
additional dimension of the ``Burge tree''. Limiting cases of our summation
formula imply the (higher-level) Bailey lemma, provide a new decomposition of
the q-multinomial coefficients, and can be used to prove the Lepowsky and Primc
formula for the A_1^{(1)} string functions.
From: S. Ole Warnaar <warnaar@wins.uva.nl> 

solv-int/9909022
From: Igor Loutsenko <loutseni@feynman.princeton.edu>
Self-similarity in Spectral Problems and q-special Functions
Authors: I. Loutsenko, V. Spiridonov
Similarity symmetries of the factorization chains for one-dimensional
differential and finite-difference Schr\"odinger equations are discussed.
Properties of the potentials defined by self-similar reductions of these
chains are reviewed. In particular, their algebraic structure, relations
to $q$-special functions, infinite soliton systems, supersymmetry, 
coherent states, orthogonal polynomials, one-dimensional Ising chains and
random matrices are outlined.

Topic #11  -----------    OP-SF NET 6.6 ----------- November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Changes of Address, WWW Pages, etc

Alessandro Di Bucchianico writes:  Please note that as of September 1, I
moved from the mathematics department to the technology management faculty
of Eindhoven University of Technology.  My new address is given below
(including my new email address and web pages).  My phone numbers have not
changed. 
 
A. Di Bucchianico, Eindhoven University of Technology, Faculty Technology
Management, section Quality of Products & Processes, P.O. Box 513, 5600 MB
Eindhoven, The Netherlands, phone +31 40 247 2902/8109, fax +31 40 2467497,
URL: http://www.tm.tue.nl/vakgr/ppk/bucchianico.htm 

Anne Schilling is now at MIT as a C. L. E. Moore instructor. Her coordinates
are:
Building 2, room 279
Department of Mathematics
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge, MA 02139
U.S.A.
e-mail:  anne@math.mit.edu
Phone:   (617) 253-3214
Fax:     (617) 253-4358
homepage: http://www-math.mit.edu/~anne/

Dr. Semyon Yakubovich (Technische Universiteit Eindhoven, Nederland)  has been
appointed as a Visiting Associate Professor at the University of Porto
(Portugal) starting February 2000. His address will be
Departamento de Matematica Pura
Faculdade de Ciencias
Universidade do Porto
Praca a gomes Teixeira
4099-002 Porto Portugal

Mama Foupouagnigni completed his PhD (on Orthogonal polynomials, co-supervised
by Professor Andre Ronveaux) on December 16, 1998. Now he is back in Cameroon,
in a permanent position at the Yaounde Higher Teachers Training College (an
Institute of the University of Yaounde I). His address is:
Docteur Mama FOUPOUAGNIGNI
Universite de Yaounde I
Ecole Normale Superieure
Departement de Mathematiques
BP 47 Yaounde, Republique du Cameroun
Tel/Fax: (237) 22 49 34 email: foupoua@uycdc.uninet.cm

Andrei Martinez Finkelshtein has a home page at 
http://www.ualm.es/~andrei/prof-en.html

Topic #12  -----------    OP-SF NET 6.6 ----------- November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <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

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where in place of xxxxx you put your name. This is handled by an automatic
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Topic #13  -----------    OP-SF NET 6.6 ----------- November 15, 1999
                          ~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Obtaining back issues of OP-SF NET and submitting contributions
         to OP-SF NET and Newsletter

Back issues of OP-SF NET can be obtained from
     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 7.1 should reach the email address
poly@siam.org before January 1, 2000.

The Activity Group also sponsors a (printed) Newsletter edited by Renato
Alvarez-Nodarse and Rafael Yanez. The deadline for submissions to be
included in the February 2000 issue is January 15, 2000 and for the June
2000 issue it is May 15, 2000. 
 
Please send your Newsletter contributions directly to the Editors: 

Renato Alvarez-Nodarse
Departamento de Analisis Matematico
Universidad de Sevilla
Apdo. Postal 1160, 
Sevilla E-41080 Spain
fax: +34-95-455-7972
e-mail: renato@gandalf.ugr.es
        ran@cica.es

Rafael J. Yanez
Departamento de Matematica Aplicada
Universidad de Granada
E-18071 Granada, Spain
phone: +34-58-242941
fax: +34-58-242862
e-mail: ryanez@ugr.es

preferably by email, and in latex format. Other formats are also
acceptable and can be submitted by email, regular mail or fax. 

Please note that submissions to the Newsletter (if not containing
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.imn.htwk-leipzig.de/~koepf/siam.html

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. 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

o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
-  OP-SF NET is a forum of the SIAM Activity Group on                 -
-  Special Functions and Orthogonal Polynomials.                      -
-  We disseminate your contributions on anything of interest to the   -
-  special functions and orthogonal polynomials community.  This      -
-  includes announcements of conferences, forthcoming books, new      -
-  software, electronic archives, research questions, job openings.   -
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-  Send submissions to:              poly@siam.org                    -
-  Subscribe by mailing to:  poly-request@siam.org                    -
-                    or to:  listproc@nist.gov                        -
-  Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/  -
-  WWW home page of this Activity Group:                              -
-           http://www.math.yorku.ca/siamopsf/                        -
-  Information on joining SIAM                                        -
-      and this activity group:  service@siam.org                     -
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
-      The elected Officers of the Activity Group (1999-2001) are:    -
-              Daniel W. Lozier, Chair                                -
-              Walter Van Assche, Vice Chair                          -
-              Charles F. Dunkl, Secretary                            -
-              Francisco Marcellan, Program Director                  -
-      The appointed officers are:                                    -
-              Renato Alvarez-Nodarse and Rafael J. Yanez,            -
-                           Newsletter Editors                        -
-              Martin Muldoon, Webmaster and OP-SF NET editor         -
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