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The aim of this paper is to investigate the differentials of the hypercomplex valued functions in Clifford analysis. Like as the differentials defined by the naïve approach in one complex variable analysis, we define the differentials of functions with values in ternary number functions by same ways. And we survey the properties of each differential with respect to a non-commutativity of the skew field.
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참고문헌 (8)
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
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
J. E. Kim / 2014 / Regularity of functions on the reduced quaternion field in Clifford analysis / Abstr. Appl. Anal. :8
정현석 / 2013 / Structures of Hyperholomorphic Functions on Dual Quaternion Numbers / 호남수학학술지 35(4):809~817
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
J. E. Kim / 2014 / Regularity of functions on the reduced quaternion field in Clifford analysis / Abstr. Appl. Anal. :8
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