Indian Journal of Science and Technology

Abstract

The aim of this paper is presenting a unified study of bicomplex speces and functions. We discuss the bicomplex number, bicomplex algebra, differentiability of a bicomplex function, bicomplex integration idempotent basis, bicoplex Gamma function, bicomplex Beta function, Gauss multiplication theorem, bicomplex Binomial theorem and some Properties of Gamma function. Various properties of Gamma and Beta functions are established. These functions which are believed to be new will provide a fundamental tool to the theory of bicomplex special functions.

Keywords: Bicomplex number, idempotent basis, Gamma and Beta functions, bicomplex Binomial theorem.