PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS ON DUAL SEDENION NUMBERS

• Kim, Ji Eun (Department of Mathematics, Pusan National University) ;
• Ha, Su Jin (Department of Mathematics, Pusan National University) ;
• Shon, Kwang Ho (Department of Mathematics, Pusan National University)
• Accepted : 2014.11.27
• Published : 2014.12.25
• 129 19

Abstract

The aim of this paper is to define hyperholomorphic functions with dual sedenion variables on $\mathcal{S}{\times}\mathcal{S}$, where $$\mathcal{S}{\sim_=}\mathbb{C}^8$$. By the condition of harmonicity, we research properties of hyperholomorphic functions of dual sedenion variables in Clifford analysis.

Keywords

Clifford Analysis;hyperholomorphic function;sedenion variables;dual number system;the condition of harmonicity

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