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ISSN : 1226-0657

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Vol.20 No.2

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Properties of hyperholomorphic functions on dual ternary numbers

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
2013, v.20 no.2, pp.129-136
https://doi.org/10.7468/jksmeb.2013.20.2.129
Jung, Hyun Sook
Shon, Kwang Ho
Jung,, H. S. , & Shon,, K. H. (2013). Properties of hyperholomorphic functions on dual ternary numbers. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(2), 129-136, https://doi.org/10.7468/jksmeb.2013.20.2.129

Abstract

We research properties of ternary numbers with values in <TEX>${\Lambda}(2)$</TEX>. Also, we represent dual ternary numbers in the sense of Clifford algebras of real six dimensional spaces. We give generation theorems in dual ternary number systems in view of Clifford analysis, and obtain Cauchy theorems with respect to dual ternary numbers.

keywords
hyperholomorphic function, ternary number, dual number system, Clifford analysis, complex differential equation

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