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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), Issue 1, Pages 59–69
DOI: https://doi.org/10.15393/j3.art.2018.4830 (Mi pa230) 		 
The corresponding Cauchy–Riemann system for dual quaternion-valued functions

J. E. Kim

Department of Mathematics, Dongguk University, Gyeongju-si 38066, Republic of Korea
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DOI: https://doi.org/10.15393/j3.art.2018.4830
Abstract: This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy–Riemann system in dual quaternions. Also, we give the corresponding Cauchy theorem of the dual quaternion-valued function in Clifford analysis.
Keywords: quaternion; dual number; Cauchy–Riemann system; Cauchy theorem; Clifford analysis.
Funding agency
This work was supported by the Dongguk University Research Fund of 2017.
Received: 09.01.2018
Revised: 09.04.2018
Accepted: 11.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.548, 517.552
MSC: 32A99, 32W50, 30G35, 11E88
Language: English
Citation: J. E. Kim, “The corresponding Cauchy–Riemann system for dual quaternion-valued functions”, Probl. Anal. Issues Anal., 7(25):1 (2018), 59–69
Citation in format AMSBIB
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\by J.~E.~Kim
\paper The corresponding Cauchy--Riemann system for dual quaternion-valued functions
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\yr 2018
\vol 7(25)
\issue 1
\pages 59--69
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\crossref{https://doi.org/10.15393/j3.art.2018.4830}
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