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.

Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.

About the Author
Howard S. Cohl, mathematician in the Applied and Computational Mathematics Division at the National Institute of Standards and Technology, is Technical Editor for the NIST Digital Library of Mathematical Functions. He has PhD's in mathematics and physics and has published over 60 papers on special functions, orthogonal polynomials, fundamental solutions for linear PDEs on Riemannian manifolds, and mathematical knowledge management. Mourad E. H. Ismail, Research Professor of Mathematics at the University of Central Florida, is an expert in special functions and approximation theory. He has made substantial contributions to the theory of orthogonal polynomials and q-series. Ismail is an editor of several research journals and author and editor of seven books.


Book Information
ISBN 9781108821599
Author Howard S. Cohl
Format Paperback
Page Count 350
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 520g
Dimensions(mm) 228mm * 151mm * 20mm