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http://dx.doi.org/10.4134/BKMS.2016.53.2.507

PROPERTIES OF REGULAR FUNCTIONS WITH VALUES IN BICOMPLEX NUMBERS  

Kim, Ji Eun (Department of Mathematics, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, Pusan National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 507-518 More about this Journal
Abstract
In this paper, using forms of conjugations, we give some algebraic properties of bicomplex numbers. We research differential operators, elementary functions and the analogous Cauchy-Riemann system in bicomplex number systems. Also, we investigate the definition and properties of regular functions with values in bicomplex settings in Clifford analysis.
Keywords
bicomplex number; conjugation; Cauchy-Riemann system; holomorphic function; Clifford analysis;
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Times Cited By KSCI : 1  (Citation Analysis)
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