Monogenic Appell sets as representations of the Heisenberg algebra

DOI10.1007/s00006-012-0330-zzbMath1256.81059OpenAlexW2092750966MaRDI QIDQ691043

David Eelbode

Publication date: 29 November 2012

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-012-0330-z

zbMATH Keywords

Gegenbauer polynomialsClifford analysisAppell sets

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Operator algebra methods applied to problems in quantum theory (81R15) Appell, Horn and Lauricella functions (33C65) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (7)

Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle ⋮ Hypercomplex polynomials, Vietoris' rational numbers and a related integer numbers sequence ⋮ The biaxial Fueter theorem ⋮ Gegenbauer polynomials and the Fueter theorem ⋮ Jacobi polynomials and generalized Clifford algebra‐valued Appell sequences ⋮ A matrix recurrence for systems of Clifford algebra-valued orthogonal polynomials ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete orthogonal Appell systems for spherical monogenics
• Laguerre derivative and monogenic Laguerre polynomials: an operational approach
• Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering
• On Appell sets and the Fueter-Sce mapping
• Bernoulli polynomials and Pascal matrices in the context of Clifford analysis
• Gelfand-Tsetlin bases for spherical monogenics in dimension 3
• Gegenbauer polynomials and the Fueter theorem
• Generalized Exponentials through Appell sets in R[sup n+1 and Bessel functions]

This page was built for publication: Monogenic Appell sets as representations of the Heisenberg algebra