Bicomplex Gamma and Beta Function
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Date
2006
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JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES
Abstract
The aim of this paper is to define bicomplex Gamma and Beta functions. We also discuss conditions of validity and T-holomorphicity for these functions. Various properties including Legendre duplication formula, Gauss multiplication theorem and Binomial theorem are established. These functions which are believed to be new will provide a fundamental tool to develop the theory of bicomplex special functions
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Keywords
Mathematics, Bicomplex number, Idempotent basis, Gamma and Beta function