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1 - General Overview of Multivariable Special Functions

Published online by Cambridge University Press:  30 September 2020

By
T. H. Koornwinder  and
J. V. Stokman
Edited by
Tom H. Koornwinder  and
Jasper V. Stokman
Tom H. Koornwinder
Affiliation:
Universiteit van Amsterdam
Jasper V. Stokman
Affiliation:
Universiteit van Amsterdam
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Summary

This chapter gives an introduction to the book. It surveys multivariable hypergeometric series and integrals, with comparison of the classical, basic and elliptic case, and multivariable (bi)orthogonal polynomials and functions, where root system generalizations of classical orthogonal polynomials get special emphasis. The chapter also provides a global description of the other chapters.

Keywords

multivariable special functionsmultivariable hypergeometric seriesmultivariable (bi)orthogonal polynomials and functions
Type
Chapter
Information
Encyclopedia of Special Functions: The Askey-Bateman Project , pp. 1 - 18
Publisher: Cambridge University Press
Print publication year: 2020

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