Generating functions of orthogonal polynomials in higher dimensions
Complex Variables
2013-04-15 v1
Abstract
In this paper two important classes of orthogonal polynomials in higher dimensions using the framework of Clifford analysis are considered, namely the Clifford-Hermite and the Clifford-Gegenbauer polynomials. For both classes an explicit generating function is obtained.
Cite
@article{arxiv.1304.3493,
title = {Generating functions of orthogonal polynomials in higher dimensions},
author = {Hendrik De Bie and Dixan Peña Peña and Frank Sommen},
journal= {arXiv preprint arXiv:1304.3493},
year = {2013}
}
Comments
14 pages