• 제목/요약/키워드: the reduced quaternion number

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FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD

  • Jung, Hyun Sook;Shon, Kwang Ho
    • East Asian mathematical journal
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    • 제29권3호
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    • pp.293-302
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    • 2013
  • We research properties of ternary numbers and hyperholomorphic functions with values in $\mathbb{C}$(2). We represent reduced quaternion numbers and obtain some propertries in dual reduced quaternion systems in view of Clifford analysis. Moreover, we obtain Cauchy theorems with respect to dual reduced quaternions.