Hermite Polynomials in Dunkl-Clifford Analysis
Complex Variables
2011-02-11 v1
Abstract
In this paper we present a generalization of the classical Hermite polynomials to the framework of Clifford-Dunkl operators. Several basic properties, such as orthogonality relations, recurrence formulae and associated differential equations, are established. Finally, an orthonormal basis for the Hilbert modules arising from the corresponding weight measures is studied.
Cite
@article{arxiv.1102.2036,
title = {Hermite Polynomials in Dunkl-Clifford Analysis},
author = {Minggang Fei and Paula Cerejeiras and Uwe Kähler},
journal= {arXiv preprint arXiv:1102.2036},
year = {2011}
}
Comments
17 pages