Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

Properties of regular functions with values in bicomplex numbers

Ji Eun Kim and Kwang Ho Shon

Pusan National University, Pusan National University

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

MSC numbers: Primary 30G35, 32W50, 32A99, 11E88