Hyperholomorphy of multiplicative inverse functions of bicomplex variables

Received: 11.I.2018, Accepted: 03.V.2018

Abstract. In this paper, we give some algebraic properties of bicomplex numbers and some different forms of bicomplex conjugations, based on the expression of the usual complex conjugation. We provide the multiplicative inverse forms and hyperholomorphy of bicomplex-valued multiplicative inverse functions in bicomplex numbers.

Keywords: bicomplex number, conjugation, Cauchy-Riemann system, holomorphic function, multiplicative inverse functions

Mathematics Subject Classification (2010): 32W50, 32A99, 30G35, 11E88

Author:
Ji Eun Kim, Department of Mathematics, Dongguk University, Gyeongju-si, Republic of Korea