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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 641-647
doi:10.1155/S0161171295000810

A characterization of the Rogers q-hermite polynomials

Waleed A. Al-Salam

Department of Mathematics, University of Alberta, Edmonton T6G 2G1, Canada

Abstract

In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.