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Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials

Published online by Cambridge University Press:  20 November 2018

Ryszard Szwarc
Ryszard Szwarc*
Affiliation:
Institute of Mathematics, Wroclaw University, pi. Grunwaldzki 2/4, 50-384 Wroclaw, Poland
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Abstract

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Nonnegative product linearization of the Askey-Wilson polynomials is shown for a wide range of parameters. As a corollary we obtain Rahman's result on the continuous q-Jacobi polynomials with α ≥ β > — 1 and α + β + 1 ≥ 0.

Keywords

33D45orthogonal polynomialsAskey-Wilson polynomialsnonnegative linearization
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 2 , 01 June 1996 , pp. 241 - 249
Copyright
Copyright © Canadian Mathematical Society 1996

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