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

2003/02/17 by Dmitri Bryukhov, Bryukhov, Dmitri
Mathematics · #30G35 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #math.CV #msc:30G35

paper · pdf · doi:10.48550/arxiv.math/0302186

LaTeX, 10 pages

arxiv created 2003/02/17 · openalex publication_date 2003/02/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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