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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 309 - 315 (7page)
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In this paper, we investigate the regularities of the hyper- complex valued functions of the split quaternion variables. We define several differential operators for the split qunaternionic function. We re- search several left split regular functions for each differential operators. We also investigate split harmonic functions. And we find the correspond- ing Cauchy-Riemann system and the corresponding Cauchy theorem for each regular functions on the split quaternion field.
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참고문헌 (12)
참고문헌 신청
H. Koriyama / 2011 / Hyperholomorphic functions and holomorphic func-tions in quaternionic analysis / Bull. of Fukuoka Univ. of Edu 60 : 1 ~ 9
J. E. Kim / 2013 / Regular functions with values in ternary number system on the complex Cli ord analysis / Abstr. Appl. Anal : 7 ~
J. E. Kim / 2014 / The regularity of functions on dual split quaternions in Cli ord analysis / Abstr. Appl. Anal : 8 ~
J. E. Kim / 2015 / Polar coordinate expression of hyperholomorphic functions on split quaternions in Cli ord analysis / Adv. Appl. Cli ord Algebr 25 (4) : 915 ~ 924
M. Naser / 1971 / Hyperholomorphic functions / Siberian Math. J 12 : 959 ~ 968
J. E. Kim / 2013 / Regular functions with values in ternary number system on the complex Cli ord analysis / Abstr. Appl. Anal : 7 ~
J. E. Kim / 2014 / The regularity of functions on dual split quaternions in Cli ord analysis / Abstr. Appl. Anal : 8 ~
J. E. Kim / 2015 / Polar coordinate expression of hyperholomorphic functions on split quaternions in Cli ord analysis / Adv. Appl. Cli ord Algebr 25 (4) : 915 ~ 924
M. Naser / 1971 / Hyperholomorphic functions / Siberian Math. J 12 : 959 ~ 968
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