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arxiv: 1304.3493 · v1 · pith:Z6VJH4KHnew · submitted 2013-04-11 · 🧮 math.CV

Generating functions of orthogonal polynomials in higher dimensions

classification 🧮 math.CV
keywords polynomialsclassesdimensionsgeneratinghigherorthogonalanalysisclifford
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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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