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

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

2003-02-17

arxiv.org/abs/math/0302186v1

Mathematics

Complex Variables

LaTeX, 10 pages

Scientific paper

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.

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