Cauchy-Riemann Operators in Octonionic Analysis

Janne Kauhanen; Heikki Orelma

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arXiv · 1701.08698

Cauchy-Riemann Operators in Octonionic Analysis

Janne Kauhanen·Heikki Orelma

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Abstract

In this paper we first recall the definition of an octonion algebra and its algebraic properties. We derive the so called $e_4$-calculus and using it we obtain the list of generalized Cauchy-Riemann systems in octonionic monogenic functions. We define some bilinear forms and derive the corresponding symmetry groups.

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BibTeX RIS

Janne Kauhanen, Heikki Orelma. 2017-01-30. Cauchy-Riemann Operators in Octonionic Analysis. https://arxiv.org/abs/1701.08698

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