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arXiv · 2301.06728

Some Appell-type orthogonal polynomials on lattices

D. Mbouna·A. Suzuki
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Abstract

We investigate on some Appel-type orthogonal polynomial sequences on q-quadratic lattices and we provide some entire new characterizations of the Al-Salam Chihara polynomials (including the Rogers q-Hermite polynomials). The corresponding forms are well described. The proposed method can be applied to similar and to more general problems involving the Askey-Wilson and the Averaging operators, in order to obtain new characterization theorems for classical and semiclassical orthogonal polynomials on lattices.

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D. Mbouna, A. Suzuki. 2023-01-17. Some Appell-type orthogonal polynomials on lattices. https://arxiv.org/abs/2301.06728

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