An alternative definition of the Hermite polynomials related to the Dunkl Laplacian

DOI10.3842/SIGMA.2008.093zbMath1163.33315arXiv0812.4819OpenAlexW2119809122MaRDI QIDQ1018709

Hendrik De Bie

Publication date: 21 May 2009

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4819

zbMATH Keywords

Hermite polynomialsClifford analysisDunkl operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

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