Cauchy–Riemann Operators in Octonionic Analysis

Advances in Applied Clifford Algebras（2018）

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摘要

In this paper we first recall the definition of the 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 for octonionic monogenic functions.

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关键词

Octonions,Cauchy–Riemann operators,Dirac operators,Monogenic functions

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