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Some Unified Presentations of Bicomplex Speces and Functions


Affiliations
1 Department of Mathematics, Jubail University College, Saudi Arabia
 

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
User

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  • Some Unified Presentations of Bicomplex Speces and Functions

Abstract Views: 365  |  PDF Views: 61

Authors

Yashwant Singh
Department of Mathematics, Jubail University College, Saudi Arabia

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

References





DOI: https://doi.org/10.17485/ijst%2F2008%2Fv1i7%2F29605