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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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참고문헌 (11)
참고문헌 신청
정현숙 / 2013 / Properties of hyperholomorphic functions on dual ternary numbers / 순수 및 응용수학 20(2):129~136
정현석 / 2013 / Structures of Hyperholomorphic Functions on Dual Quaternion Numbers / 호남수학학술지 35(4):809~817
강한울 / 2016 / REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD / East Asian Mathematical Journal 32(5):641~649
J. E. Kim / 2014 / The regularity of functions on dual split quaternions in Clifford analysis / Abstr. Appl. Anal. :8
J. E. Kim / 2013 / Regular functions with values in ternary number system on the complex Clifford analysis / Abstr. Appl. Anal. :7
정현석 / 2013 / Structures of Hyperholomorphic Functions on Dual Quaternion Numbers / 호남수학학술지 35(4):809~817
강한울 / 2016 / REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD / East Asian Mathematical Journal 32(5):641~649
J. E. Kim / 2014 / The regularity of functions on dual split quaternions in Clifford analysis / Abstr. Appl. Anal. :8
J. E. Kim / 2013 / Regular functions with values in ternary number system on the complex Clifford analysis / Abstr. Appl. Anal. :7
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