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A Generalization of Gasper's Kernel for Hahn Polynomials: Application to Pollaczek Polynomials

Published online by Cambridge University Press:  20 November 2018

Mizan Rahman
Mizan Rahman*
Affiliation:
Carleton University, Ottawa, Ontario
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In this paper we consider a generalization of the discrete Poisson kernel for the Hahn polynomials obtained recently by Gasper [6]. The Hahn polynomials of degree n are defined by

(1.1)

and are known to be orthogonal on the set of non-negative integers x = 0, 1, . . . , N provided Re α, β > - l or Re α, β < -N [7; 8].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 1 , 01 February 1978 , pp. 133 - 146
Copyright
Copyright © Canadian Mathematical Society 1978

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