Cauchy-Riemann Operators in Octonionic Analysis
Complex Variables
2017-01-31 v1
Abstract
In this paper we first recall the definition of an octonion algebra and its algebraic properties. We derive the so called -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.
Cite
@article{arxiv.1701.08698,
title = {Cauchy-Riemann Operators in Octonionic Analysis},
author = {Janne Kauhanen and Heikki Orelma},
journal= {arXiv preprint arXiv:1701.08698},
year = {2017}
}