Lectures on Orthogonal Polynomials and Special Functions

ISBN-13: 9781108821599 / Angielski / Miękka / 2020 / 350 str.

Howard S. Cohl;Mourad E. H. Ismail (University of Central Florida)

Opis

This is a collection of graduate-level introductions to five areas of current research interest in orthogonal polynomials and special functions. It derives from the OPSF-S6 Summer School lectures given by international authorities and has been carefully edited into a coherent whole, with examples and exercises.

Spis treści

1. Exceptional Orthogonal Polynomials via Krall Discrete Polynomials Antonio J. Durán; 2. A Brief Review of q-series Mourad E. H. Ismail; 3. Applications of Spectral Theory to Special Functions Erik Koelink; 4. Elliptic Hypergeometric Functions Hjalmar Rosengren; 5. Combinatorics of Orthogonal Polynomials and their Moments Jiang Zeng.