Book Description:
This new book presents research in orthogonal polynomials and special functions. Recent developments in the theory and accomplishments of the last decade are pointed out and directions for research in the future are identified. The topics covered include matrix orthogonal polynomials, spectral theory and special functions, Asymptotics for orthogonal polynomials via Riemann-Hilbert methods, Polynomial wavelets and Koornwinder polynomials.

Table of Contents:
Preface; Chapter 1. In Memoriam: Professor Joœe Javier Guadalupe (Manuel Alfaro, Univ. de Zaragora, Francisco Marcellan, Univ. Carlos III de Madrid and Maria Luisa Rezola, Univ, de Zaragora); Chapter 2. Orthogonal matrix polynomials (Antonio J. Duran and Pedro Lopez-Rodriguez, Univ. de Sevilla); Chapter 3. Spectral theory and special functions (Erik Koelink, Technische Universiteit Delft); Chapter 4. Introduction to asymptotics for orthogonal polynomials via Riemann-Hilbert methods (Kenneth McLaughlin, Univ of North Carolina,Chapel Hill); Chapter 5. Askey-Wilson polynomials: an affine Hecke algebra approach (Masatoshi Noumi, Kobe Univ. and Jasper V. Stokman, Univ. of Paris); Chapter 6. Lecture notes on Koornwinder polynomials (Jasper V. Stokman, Institute for Mathematics, Universiteit van Amsterdam); Index.