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http://dx.doi.org/10.5831/HMJ.2017.39.2.307

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)
Publication Information
Honam Mathematical Journal / v.39, no.2, 2017 , pp. 307-315 More about this Journal
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.
Keywords
bicomplex number; bicomplex number valued function; differential; the corresponding Cauchy-Riemann system; Clifford analysis;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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