Some Appell-type orthogonal polynomials on lattices
Classical Analysis and ODEs
2023-04-11 v2
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.
Cite
@article{arxiv.2301.06728,
title = {Some Appell-type orthogonal polynomials on lattices},
author = {D. Mbouna and A. Suzuki},
journal= {arXiv preprint arXiv:2301.06728},
year = {2023}
}