Abstract
In a recent series of papers, Appell sets were generalized from the classical (real and complex) setting to higher dimensions, within the framework of Clifford analysis. The aim of this paper is to exhibit the relation between these Appell sets and the Gegenbauer polynomials, which leads to the construction of a raising and lowering operator for the associated family of polynomials.
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Eelbode, D. Monogenic Appell Sets as Representations of the Heisenberg Algebra. Adv. Appl. Clifford Algebras 22, 1009–1023 (2012). https://doi.org/10.1007/s00006-012-0330-z
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DOI: https://doi.org/10.1007/s00006-012-0330-z