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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

Properties of hyperholomorphic functions on dual ternary numbers

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, College of Natural Sciences, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, College of Natural Sciences, Pusan National University)
Jung, Hyun Sook, & Shon, Kwang Ho. (2013). PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS ON DUAL TERNARY NUMBERS. 한국수학교육학회지시리즈B:순수및응용수학, 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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한국수학교육학회지시리즈B:순수및응용수학

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