Jacobi Elliptic Cliffordian Functions

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dc.creatorLaville, Guy
dc.creatorRamadanoff, Ivan
dc.date2005-02-03
dc.date.accessioned2026-07-07T05:16:40Z
dc.date.available2026-07-07T05:16:40Z
dc.descriptionThe well-known Jacobi elliptic functions sn(z)$, $cn(z), dn(z) are defined in higher dimensional spaces by the following method. Consider the Clifford algebra of the antieuclidean vector space of dimension 2m+1. Let x be the identity mapping on the space of scalars + vectors. The holomorphic Cliffordian functions may be viewed roughly as generated by the powers of x, namely x^n, their derivatives, their sums, their limits (cf : z^n for classical holomorphic functions). In that context it is possible to define the same type of functions as Jacobi's.
dc.identifierhttps://arxiv.org/abs/math/0502073
dc.identifierhttp://arxiv.org/abs/math/0502073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74071
dc.subjectComplex Variables
dc.subject30G35, 33E05
dc.titleJacobi Elliptic Cliffordian Functions
dc.typetext

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