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Regular Functions with Values in Ternary Number System on the Complex Clifford Analysis

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  • Ji Eun Kim
  • Su Jin Lim
  • Kwang Ho Shon

Abstract

We define a new modified basis i∧ which is an association of two bases, e1 and e2. We give an expression of the form z=x0+ i ∧z0-, where x0 is a real number and z0- is a complex number on three‐dimensional real skew field. And we research the properties of regular functions with values in ternary field and reduced quaternions by Clifford analysis.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:136120
DOI: 10.1155/2013/136120
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