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General Overview of Multivariable Special Functions

Authors :
Koornwinder, T.H.
Stokman, J.V.
Analysis (KDV, FNWI)
KdV Other Research (FNWI)
Faculty of Science
Algebra, Geometry & Mathematical Physics (KDV, FNWI)
Quantum Matter and Quantum Information
Source :
Encyclopedia of special functions : the Askey-Bateman project.-Volume 2: Multivariable Special Functions, 1-18, STARTPAGE=1;ENDPAGE=18;TITLE=Encyclopedia of special functions : the Askey-Bateman project.-Volume 2
Publication Year :
2020
Publisher :
Cambridge University Press, 2020.

Abstract

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.

Details

Database :
OpenAIRE
Journal :
Encyclopedia of special functions : the Askey-Bateman project.-Volume 2: Multivariable Special Functions, 1-18, STARTPAGE=1;ENDPAGE=18;TITLE=Encyclopedia of special functions : the Askey-Bateman project.-Volume 2
Accession number :
edsair.doi.dedup.....9422a3a0fb8479869984b4edc86e4410