Clifford-Gegenbauer polynomials related to the Dunkl Dirac operator

zbMath1227.30038arXiv1003.1512MaRDI QIDQ550430

Hendrik De Bie, Nele De Schepper

Publication date: 11 July 2011

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1512

zbMATH Keywords

Clifford analysisDunkl operatorsClifford-Gegenbauer polynomialsDunkl monogenics

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)

Related Items (3)

A Dirac-Dunkl equation on \(S^2\) and the Bannai-Ito algebra ⋮ Dirichlet type problems for Dunkl-Poisson equations ⋮ Clifford algebras, Fourier transforms, and quantum mechanics

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