Cauchy–Riemann Operators in Octonionic Analysis

Kauhanen, Janne; Orelma, Heikki (2018-01)
 
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Kauhanen, Janne
Orelma, Heikki
01 / 2018

Advances in Applied Clifford Algebras
1
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doi:10.1007/s00006-018-0826-2
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https://urn.fi/URN:NBN:fi:tty-201908211996

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<p>In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called e<sub>4</sub>-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic monogenic functions.</p>
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