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HYPER-CONJUGATE HARMONIC FUNCTION ON DUAL OCTONION VARIABLES

  • Received : 2014.05.26
  • Accepted : 2014.06.23
  • Published : 2014.09.25

Abstract

The aim of this paper is to define hyperholomorphic functions with dual octonion variables on $\mathbb{C}^4{\times}\mathbb{C}^4$ in another way. Using condition of harmonicity, we research properties of functions of dual octonion variables in Clifford analysis.

Keywords

Cliord analysis;hyperholomorphic function;octonion variables;dual number system;the condition of harmonicity

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