Axially Symmetric Generalization of the Cauchy-Riemann System and Modified Clifford Analysis

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The main aim of this paper is to describe the most adequate generalization of the Cauchy-Riemann system fixing properties of classical functions in octonionic case. An octonionic generalization of the Laplace transform is introduced. Octonionic generalizations of the inversion transformation, the gamma function and the Riemann zeta-function are given.
LaTeX, 10 pages

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Complex Variables, 30G35

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http://salesiana.dossiersoluciones.com/handle/123456789/66540

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302186
 http://arxiv.org/abs/math/0302186

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arXiv