Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions
Volume 11, Issue 4, pp 469--476
http://dx.doi.org/10.22436/jnsa.011.04.03
Publication Date: March 13, 2018
Submission Date: September 12, 2017
Revision Date: January 24, 2018
Accteptance Date: January 25, 2018
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Authors
Ji Eun Kim
- Department of Mathematics, Dongguk University, Gyeongju, Republic of Korea.
Abstract
We give representations and properties of a hyperholomorphic function with values in commutative-quaternions. We first consider expressions of commutative-quaternions. Also, we investigate the results of derivatives and integrations for a hyperholomorphic function of commutative-quaternionic variables in Clifford analysis.
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ISRP Style
Ji Eun Kim, Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 469--476
AMA Style
Kim Ji Eun, Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions. J. Nonlinear Sci. Appl. (2018); 11(4):469--476
Chicago/Turabian Style
Kim, Ji Eun. "Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 469--476
Keywords
- Hyperholomorphic function
- commutative-quaternions
- Cauchy-Riemann system
- Clifford analysis
MSC
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