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Cauchy–Riemann Operators in Octonionic Analysis

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Original languageEnglish
Article number1
JournalAdvances in Applied Clifford Algebras
Issue number1
Early online dateJan 2018
Publication statusPublished - 2018
Publication typeA1 Journal article-refereed


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

ASJC Scopus subject areas


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

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Field of science, Statistics Finland

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