Lectures on Orthogonal Polynomials and Special Functions


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Lectures on Orthogonal Polynomials and Special Functions
Author(s): Howard S. Cohl, Mourad E. H. Ismail

Series: London Mathematical Society Lecture Note Series, 464

Publisher: Cambridge University Press, Year: 2021

ISBN: 9781108821599,9781108908993

Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad range of topics are introduced including exceptional orthogonal polynomials, q-series, applications of spectral theory to special functions, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume is derived from lectures presented at the OPSF-S6 Summer School at the University of Maryland, and has been carefully edited to provide a coherent and consistent entry point for graduate students and newcomers.

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