Multivariable Askey–Wilson function and bispectrality

For every positive integer d , we define a meromorphic function F d ( n ; z ), where n , z ∈ℂ d , which is a natural extension of the multivariable Askey–Wilson polynomials of Gasper and Rahman (Theory and Applications of Special Functions, Dev. Math., vol. 13, pp. 209–219, Springer, New York, 2005...

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Bibliographic Details

Published in:	The Ramanujan journal Vol. 24; no. 3; pp. 273 - 287
Main Authors:	Geronimo, Jeffrey S., Iliev, Plamen
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.04.2011
Subjects:	Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Bispectrality 33D50 Basic hypergeometric series Multivariable orthogonal polynomials 39A70
ISSN:	1382-4090, 1572-9303
Online Access:	Get full text
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