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http://dx.doi.org/10.7468/jksmeb.2015.22.1.65

CHARACTERIZATION OF A REGULAR FUNCTION WITH VALUES IN DUAL QUATERNIONS  

Kim, Ji Eun (Department of Mathematics, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, Pusan National University)
Publication Information
The Pure and Applied Mathematics / v.22, no.1, 2015 , pp. 65-74 More about this Journal
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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Times Cited By KSCI : 2  (Citation Analysis)
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