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Split hyperholomorphic function in Clifford analysis

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.1, pp.57-63
https://doi.org/10.7468/jksmeb.2015.22.1.57
Lim, Su Jin
Shon, Kwang Ho

Abstract

We define a hyperholomorphic function with values in split quaternions, provide split hyperholomorphic mappings on <TEX>${\Omega}{\subset}\mathbb{C}^2$</TEX> and research the properties of split hyperholomorphic functions.

keywords
split quaternion, split hyperholomorphic function, Clifford analysis

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics