"Orthogonal Polynomials and Mathematical Physics" 2004

Universidad Carlos III de Madrid

Leganés, July  5-8, 2004

"Orthogonal Polynomials and Mathematical Physics"

General Information

Dear Colleagues,

It is well known the increasing attention paid in the last years to the theory of Orthogonal Polynomials. In particular since their applications in a lot of different areas like numerical integration, spectral methods, interpolation, approximation theory, etc. Also in combinatorics, mathematical physics, quantum physics, etc. For this reason the Universidad Carlos III de Madrid organizes every two years an international workshop devoted to this topic. The first edition in 1992 was dedicated to Sobolev orthogonal polynomials, in 1994 to polynomials orthogonal in the unit circle, the IWOP'96 , held in 1996, to the applications of orthogonal polynomials in mathematical physics, IWOP'98 was devoted to the numerical applications and symbolic algorithms, and and the last one, the 2002's edition to the Approximation Theory.

The main aim of this 2004's edition of the Workshop was that a reduced number of invited mathematicians discuss and review recent progress of the Theory of Orthogonal Polynomials in Mathematical Physics. The Workshop will take place at the "Sala de Audiovisuales de la Biblioteca" located in the cellar (basement) of the Library (building No. 3 in the map ) of the the Escuela Politécnica Superior of the Universidad Carlos III de Madrid, Leganés (Madrid).

For a detailed map of the the campus of Leganes visit WWW (the Library is the building No. 3 in red). The "Sala de Audiovisuales de la Biblioteca" is in the cell ( click here to see a scheme).

The IWOP04 was sponsored by Comunidad de Madrid, Universidad Carlos III de Madrid, Real Sociedad Matemática Española (RSME) and Sociedad Española de Matemática Aplicada.

The topics considered were: Information Entropy, Imaging Theory, Integrable systems, Special functions, Pade Approximation, Riemann-Hilbert Problem, Orthogonal Polynomials.

There were 14 plenary lectures and 18 short communications. 

How to get Escuela Politécnica Superior

The best way to get the Escuela Politécnica Superior is by using the trains Cercaniaswhich can be reach from Atocha Railway Station Cercanias Line C5 (direction Fuenlabrada) and leave the train in the Station Leganés (not in Zarzaquemada!) which is at 5 min. waking from the University. Also you can use the MetroSur Line 12, and leave at San Nicasio or at Lenanes Central Please see a scheme of getting to the University Campus , or if you prefer, see a more detailed map

For more details click here. For a scheme click here.

IWOP04: Main menu

  • Invited speakers
  • The Organizing Committee
  • The Scientific Committee
  • Registration fee
  • Registration form
  • The Proceedings
  • Program
  • Invited talks
  • Short Communications
  • Abstracts
  • Participants

  • Invited speakers

    The Organizing Committee

    The Organizing Committee is:

    Collaborators of the Organizing Committee (Local Commitee): Jorge Sanchez, Maria Isabel Bueno, Maria Antonia Delgado, Angeles Garrido, Roberto Costas Santos

    The Scientific Committee

    The Scientific Committee is:

    Registration and Registration fee

    The registration fee is 150 Euros to be paid (in cash) in the opening session (Monday July 5, at 8:30). It includes the all lunches and the social events.

    Hotel Information

    It is possible to use the Hotel Tryp LEGANES with an University price for the IWOP04's participants, but also the participants can contact with the Sol Meliá Reservation Service in the phone 902 14 44 40, or on-line in the WWW. The rooms have remote-controlled satellite TV, direct-dial telephone, computer connection, air-conditioning, etc. The interested people should contact via e-mail to . Further information about the Hotel can be found cliking here. Where is the Hotel?

    The Proceedings

    The Proceedings of the Workshop will be appear as a special issue of Electronic Transactions on Numerical Analysis (ETNA) (see the URL site All the participants (invited lectures, short communications and poster) are encouraged to send their contributions to Francisco Marcellán. The dead line is November 30, 2004. The maximun number of pages is 20 for the invited lectures, and 10 pages for the other contributions. The papers should be written in LaTeX, using the SIAM style files and to use available macros for theorems, proofs, abstract, etc. Examples of papers with this style can be found at the ETNA and SIAM home pages (for a little manual see the document Using SIAM's LaTeX Macros). All papers will pass a referee process.


    The Calendar

    To see the schedule click HERE
    The registration starts on Monday 5 at 8:45am and the opening sesion will be on Monday 5 at 9:15 am. The schedule will be during the next week (June 14-18).

    Invited talks (50 min.)

    1. Dr. Natig Atakishiyev ( Instituto de Fisica y Matematicas, UNAM, Cuernavaca, Mexico "Duality of q-polynomials, orthogonal on an infinite set of discrete points"
    2. Dr. Peter A. Clarkson (P. A. Institute of Mathematics, Statistics and Actuarial Science, University of Kent, UK "Painleve equations: Rational solutions and associated special polynomials"
    3. Dr. Atanassios Fokas ( Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK "1. Chebyshev polynomials and the imaging of the brain 2. Orthogonal polynomials and the Riemann-Hilbert problem."
    4. Dr. F. Alberto Grunbaum ( Department of Mathematics, University of California, Berkeley, USA "Orthogonal polynomials in medical imaging: a two way street"
    5. Dr. Jesus Sanchez Dehesa ( Departamento de Fisica Moderna, Universidad de Granada.Spain "Information Theory of Special Functions, Parts I and II" Departamento de Fisica Moderna, Universidad de Granada.Spain "Information Theory of Special Functions, Parts I and II"
    6. Dr. Juan A. Tirao ( Centro de Investigacion y Estudios de Matematica. Universidad Nacional de Cordoba, Argentina "Spherical functions, hypergeometric equation and orthogonal polynomials, scalar and matrix valued versions, Parts I and II".
    7. Dr. Alexei.Zhedanov ( Donestk Institute for Physics and Technology, Ukraine "Explicit schemes of the multipoint Pade interpolation and special functions"

    Short Communications (25 min.)

      1. Systems of orthogonal polynomials defined by hypergeometric type equations by Nicolae Cotfas

      2. Entropy of Pollaczek polynomials by A. Martinez-Finkelshtein and J. Sanchez-Lara (*)

       3. Bezout polynomials for classical orthogonal polynomials by I. Area,  E. Godoy, A. Ronveaux, and A. Zarzo(*)
       4. New inequalities from classical Sturm theorems by Alfredo Deaño (*) et al.

       5. Vector Functions Orhogonal to the Gradient of Orthogonal Polynomials.  Examples and Properties by Eva Acosta (*) y J.L. Quintela

       6. Two classical theorems for the infinite Hessenberg matrix D by V. Tomeo(*)  and  E. Torrano     
       7. Recurrence relations for continuous and discrete wave functions by Luis Cardoso

       8. Asymptotics of Jacobi polynomials orthogonal on a single contour by R. Orive

       9. Anomalous  semi-classical and q-semi-classical polinomials of class 1 by J.C. Medem
       10. Polynomial perturbations of bilinear functionals and Hessenberg matrices by Maribel Bueno

       11. Wavelet generators based on classical orthogonal polynomials and functions of the second kind by M.  Moncayo (*) & R. J. Yáñez
       12. q-Orthogonal Polynomials Related to the Quantum Group Uq(SO(5)) by Alexander Rozenblyum

       13. Classical bases expansions for Macdonald polynomials by M. Schlosser 

       14. Asymptotic Expansions of  Gamma(a,z) and gamma(a,z) for a and z large by  C. Ferreira, J.L.  López and E. Pérez Sinusía (*).

       15. Symmetric hierarchy of the fourth Painlev\'e equation by Filipuk G.V. (*) and Clarkson P.A.
       16. A One-Dimensional Model Of Diffusion In A Non-Homogeneous Domain by Igor Fedotov, Julian Marais (*) et al.

       17. On continued Rogers­Ramanujan's fraction by  V.I.Buslaev

       18. Approximation of functions on the unit sphere by the orthogonal spherical polynomials by Yuri N. Skiba.



    To he held during the breaks of the Tuesday, Wednesday and Tursday.

    1. Fourier-Padé Approximants for Angelesco Systems by M. Bello Hernández and J. Mínguez Ceniceros

    2. Approximation by summation methods of the Mellin-Fourier series. Andi Kivinukk

    3. The q-Hahn polynomials and the Clebsh-Gordan coefficients  for the q-algebras SUq(2) by J. Arvesu

    4. Generalized Weighted Sobolev Spaces and Applications to Sobolev Orthogonal Polynomials I. by J.M. Rodriguez, V. Alvarez, E. Romera, and D. Pestana

    5. Weierstrass' theorem in weighted sobolev spaces with k derivatives by A. Portilla, Y. Quintana, J. M. Rodriguez, and E. Touris.

     6.  Invariance of the stationary Schr\"{o}dinger equation and Ladder Operators of special and quantum functions by J. Garc\'{\i}a Ravelo and A. Queijeiro.

    7. Information entropy and standard deviation of probability distributions involving orthogonal polynomials by Julio I. de Vicente and J. Sanchez Ruiz

    8. On exactly solvable quantum models by R. Alvarez Nodarse, J. Petronilho and N.R. Quintero
    9. q-Racah coefficients and q-Racah polynomials for the q-algebras SUq(2) and SUq(1,1) by R. Alvarez Nodarse, R. Costas-Santos, and Yu. F. Smirnov.
    10. A simplification of the Laplace and Steepest Descents methods by Chelo Ferreira, José Luis López and Ester Pérez Sinusía

    11. Using Legendre Polynomials and Block-Pulse Functions for Numerical Solution of Integro-Differential Equation  M. Shahrezaee

    12. Moment matrix of self similar measures by C.  Escribano, M. Asunción, and  E. Torrano

    13. The compact representation of a Leonard pair by Paul Terwilliger

    14. Another approach to the analysis of stepped structures for the wave equation by Igor Fedotov, Steve Jouibert, Michael Shatalov and Julian Marais



    Click here to see the participants.

    To get more information please contact with:

    J. Arvesú (, R. Álvarez-Nodarse ( and F. Marcellán (

    Maintained by Renato Álvarez-Nodarse: E-Mail: