Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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DIFFERENTIALS OF THE BICOMPLEX FUNCTIONS FOR EACH CONJUGATIONS BY THE NAIVE APPROACH

  • Kang, Han Ul (Department of Mathematics, Pusan National University) ;
  • Kim, Min Ji (Department of Mathematics, Pusan National University) ;
  • Shon, Kwang Ho (Department of Mathematics, Pusan National University)
  • Received : 2017.05.31
  • Accepted : 2017.06.19
  • Published : 2017.06.25
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Abstract

In this paper, we aim to compare the differentials with the regularity of the hypercomplex valued functions in Clifford analysis. For three kinds of conjugation of the bicomplex numbers, we define the differentials of the bicomplex number functions by the naive approach. And we investigate some relations of the corresponding Cauchy-Riemann system and the conditions of the differentiable functions in the bicomplex number system.

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References

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