Hermite Polynomials in Dunkl-Clifford Analysis

Details Hermite Polynomials in Dunkl-Clifford Analysis Hermite Polynomials in Dunkl-Clifford Analysis

2011-02-10

arxiv.org/abs/1102.2036v1

Mathematics

Complex Variables

17 pages

Scientific paper

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.

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