IWOP'96: A Review

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In this page you can find all the Information about the last Workshop on Orthogonal Polynomials held in Leganés the last June 24-26, 1996, including the Proceedings published in March 1997 in Madrid.

INTERNATIONAL WORKSHOP ON ORTHOGONAL POLYNOMIALS IN MATHEMATICAL PHYSICS

Review of the IWOP'96

The Proceedings

Address

The next issue: IWOP'98

Review of the IWOP'96

Dear Colleagues,

As you know the last June 1996 held in Leganés the third edition of the Worshop on Orthogonal Polynomials organized by Universidad Carlos III. The aim of these Workshops was that a reduced number of invited specialist discuss and review various recent works of the Theory of Orthogonal Polynomials and its applications. The first issue (1992) was devoted to Sobolev Polynomials, the next (1994) to Polynomials on the Unit Circle and the last one (1996) to Mathematical Physics. Here we will report about the last one.

The IWOP'96 took place in the main building of the Escuela Politécnica Superior. Universidad Carlos III de Madrid. Leganés, Madrid, from June 24-26, 1996.

The topics considered were

q-Polynomials and related topics.
Entropy of polynomials and related physical problems.
Difference equations and their solutions.
Finite difference equations and the (quasi) exact solvability concept.
Toda lattices and Orthogonal Polynomials.
Orthogonal Polynomials in Mathematical Physics.

The Invited speakers were

N. Atakishiev (Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas. Univ. Nacional Autónoma de México. Cuernavaca. México.)
Jesus S. Dehesa (Departamento de Física Moderna. Univ. de Granada, Spain.)
Yuri F. Smirnov (Instituto de Física, Univ. Nacional Autónoma de México. México.)
H.T. Koelink (Univ. of Amsterdam. The Netherlands.)
A. Aptekarev (Keldysh Institut Russian Academy of Sciences, Moscow.)

The Organizing Committee was

M. Alfaro (Univ. de Zaragoza) ,
R. Álvarez-Nodarse (Secretary) (Univ. Carlos III),
A.G.García (Univ. Carlos III),
G.López Lagomasino (Univ. Carlos III) and
F. Marcellán (Chairman) (Univ. Carlos III)

The Scientific Committee was

J. S. Dehesa (Univ. de Granada.)
A. Aptekarev (Keldysh Institut Russian Academy of Sciences.)
W. Van Assche (Katholieke Universiteit Leuven)
G.López Lagomasino (Univ. Carlos III) and
F. Marcellán (Univ. Carlos III)

The Calendar was as follows

Time Monday Tuesday Wednesday
9:30 Smirnov Aptekarev Dehesa
10:30 Break Break Break
10:45 Koelink Smirnov Koelink
11:45 Break Break Break
12:15 Ronveaux Jodar Tagliani
12:45 Natalini Gawronski Sánchez-Ruiz
13:15 Szafraniec Peherstorfer Finkel
13:45 Lunch Lunch Lunch
15:40 Arvesú Orive Petronilho
16:00 Atakishiev Dehesa Duran / Koekoek
17:00 Break Break Break
17.15 Aptekarev Atakishiev Open Problems

Time	Monday	Tuesday	Wednesday
9:30	Smirnov	Aptekarev	Dehesa
10:30	Break	Break	Break
10:45	Koelink	Smirnov	Koelink
11:45	Break	Break	Break
12:15	Ronveaux	Jodar	Tagliani
12:45	Natalini	Gawronski	Sánchez-Ruiz
13:15	Szafraniec	Peherstorfer	Finkel
13:45	Lunch	Lunch	Lunch
15:40	Arvesú	Orive	Petronilho
16:00	Atakishiev	Dehesa	Duran / Koekoek
17:00	Break	Break	Break
17.15	Aptekarev	Atakishiev	Open Problems

There were presented 5 invited talks

A. Aptekarev. Toda-type Dynamics for the Coefficients of Recurrence Relations. (2 hours)
N. Atakishiev: Difference Equations and Some of their Solutions (1 hour). Ramanujan-type Continuous Measures for Classical q-Polynomials (1 hour).
Jesus S. Dehesa: Information Theory, Quantum Entropy and Orthogonal Polynomials (2 hours).
H.T. Koelink: Addition Formulas for q -Special Functions (1 hour). Hecke algebras and q-Krawtchouk polynomials (1 hour).
Yuri F. Smirnov: Orthogonal polynomials of a Discrete Variables and Quantum algebras SUq(2) and SUq(1,1) (1 hour). Hidden sl(2) Algebra of the Finite Difference Equations (1 hour).

and 14 Short Communications (30 min.)

J. Arvesú: The classical Laguerre polynomials in a relativistic quantum-statistical model.
A. Duran: On orthogonal matrix polynomials
F. Finkel: Quasi Exactly Solvable Potentials on the Line and Orthogonal Polynomials.
W. Grawronski On the Zeros of Classical Orthogonal Polynomials with Large Complex Parameters.
L. Jódar: A Matrix Formula for the Generating Function of the Product of Hermite Matrix Polynomials.
R. Koekoek: Recent Developments in the Research of Differential Operators for Generalized (Sobolev) Orthogonal Polynomials.
P. Natalini: Some New Sets of Relativistic Orthogonal Polynomials.
R. Orive: Rational Approximation to Certain Functions with Branch Points.
F. Peherstorfer: Periodic and quasiperiodic Toda lattices.
J. Petronilho: On Some Polynomial Modifications of Measures. Applications.
A. Ronveaux: Orthogonal Polynomials: Connection and Linearization Coefficients.
Jorge Sánchez-Ruiz: Position and momentum information entropies of the harmonic oscillator and logarithmic potential of Hermite polynomials.
F. Szafraniec: Orthogonal polynomials in building models of the quantum harmonic oscillator.
A. Tagliani: Entropy-convergence, Instability in Stieltjes and Hamburger Moment Problems.

and have participated 74 scientists from 26 different institutions (13 spanich and 13 foreigner). You can find the complete list including e-mail addresses here: Definitive List of Participants

The workshop was sponsored by Universidad Carlos III de Madrid, INTAS, Consejería de Educación y Cultura (Comunidad Autónoma de Madrid), Dirección General de Enseñanza Superior (Ministerio de Educación y Cultura of Spain). Our acknowledgement to all these institutions for their financial support.

The Proceedings

We have prepared an Special Monography with the Proceedings of the Workshop. You can find here the LaTeX/TeX or Postscript files.

Maintained by Renato Álvarez-Nodarse: E-Mail: ran@us.es