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arXiv · 1304.3493

Generating functions of orthogonal polynomials in higher dimensions

Hendrik De Bie·Dixan Peña Peña·Frank Sommen
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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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Hendrik De Bie, Dixan Peña Peña, Frank Sommen. 2013-04-11. Generating functions of orthogonal polynomials in higher dimensions. https://arxiv.org/abs/1304.3493

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