POLAR COORDINATE FORMS FOR THE REGULARITY OF BICOMPLEX-VALUED FUNCTIONS IN CLIFFORD ANALYSIS
J. E. Kim
In this study, using forms of conjugations, we provide some algebraic properties of bicomplex numbers. We studied an analogous Cauchy-Riemann system with a bicomplex number system. In addition, we investigated the definition and properties of polar coordinate forms for bicomplex numbers and Cauchy-Riemann systems that are equivalent in a bicomplex setting in Clifford analysis.
Keywords: Bicomplex number, Cauchy-Riemann system, regular function, polar coordinate form.