Hermite and Gegenbauer polynomials in superspace using Clifford analysis

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dc.creatorDe Bie, Hendrik
dc.creatorSommen, Frank
dc.date2007-07-19
dc.date.accessioned2026-07-07T10:56:49Z
dc.date.available2026-07-07T10:56:49Z
dc.descriptionThe Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbolic way. This means that one does not a priori need an integration theory in superspace. Furthermore a lot of basic properties, such as orthogonality relations, differential equations and recursion formulae are proven. Finally, an interesting physical application of the super Clifford-Hermite polynomials is discussed, thus giving an interpretation to the super-dimension.
dc.description18 pages, accepted for publication in J. Phys. A
dc.identifierhttps://arxiv.org/abs/0707.2863
dc.identifierhttp://arxiv.org/abs/0707.2863
dc.identifierJ.Phys.A40:10441-10456,2007
dc.identifierdoi:10.1088/1751-8113/40/34/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186543
dc.subjectHigh Energy Physics - Theory
dc.subjectClassical Analysis and ODEs
dc.titleHermite and Gegenbauer polynomials in superspace using Clifford analysis
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