POLAR COORDINATE FORMS FOR THE REGULARITY OF BICOMPLEX-VALUED FUNCTIONS IN CLIFFORD ANALYSIS

J. E. Kim

  DOI:  https://doi.org/10.37418/amsj.9.11.111

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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.