Bull. Korean Math. Soc. 2016; 53(2): 507-518
Printed March 31, 2016
https://doi.org/10.4134/BKMS.2016.53.2.507
Copyright © The Korean Mathematical Society.
Ji Eun Kim and Kwang Ho Shon
Pusan National University, Pusan National University
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
MSC numbers: Primary 30G35, 32W50, 32A99, 11E88
2017; 54(2): 583-592
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