Cauchy–Riemann Operators in Octonionic Analysis

By Janne Kauhanen, Heikki Orelma. 2017

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In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called $$e_4$$e4-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic monogenic functions.

Subfields: Applied Mathematics

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