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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.22 No.1

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Characterization of a regular function with values in dual quaternions

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.1, pp.65-74
https://doi.org/10.7468/jksmeb.2015.22.1.65
Kim, Ji Eun
Shon, Kwang Ho
Kim,, J. E. , & Shon,, K. H. (2015). Characterization of a regular function with values in dual quaternions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(1), 65-74, https://doi.org/10.7468/jksmeb.2015.22.1.65

Abstract

In this paper, we provide the notions of dual quaternions and their algebraic properties based on matrices. From quaternion analysis, we give the concept of a derivative of functions and and obtain a dual quaternion Cauchy-Riemann system that are equivalent. Also, we research properties of a regular function with values in dual quaternions and relations derivative with a regular function in dual quaternions.

keywords
quaternion analysis, derivative, Cauchy-Riemann system, regular function, dual quaternion

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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