Generating functions of orthogonal polynomials in higher dimensions

2013/04/11 by De Bie, Hendrik, Peña, Dixan Peña, Sommen, Frank
#30G35 #33C45 #33C50 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.3493

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.

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