Kibble-Slepian Formula and Generating Functions for 2$D$ Polynomials
Classical Analysis and ODEs
2016-05-10 v2
Abstract
We prove a generalization of the Kibble--Slepian formula (for Hermite polynomials) and its unitary analogue involving the D Hermite polynomials recently proved in \cite{Ism4}. We derive integral representations for the D Hermite polynomials which are of independent interest. Several new generating functions for D -Hermite polynomials will also be given.
Keywords
Cite
@article{arxiv.1508.01816,
title = {Kibble-Slepian Formula and Generating Functions for 2$D$ Polynomials},
author = {Mourad E. H. Ismail and Ruiming Zhang},
journal= {arXiv preprint arXiv:1508.01816},
year = {2016}
}
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26 pages