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arXiv 2013-04-11 0 views

Generating functions of orthogonal polynomials in higher dimensions

De Bie, Hendrik · Peña, Dixan Peña · Sommen, Frank

Original · EN

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.

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