A characterization of the Rogers q-Hermite polynomials

1994/02/25 by Al-Salam, Waleed A.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/9402212

Abstract

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

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