Two Parameter Gamma Function and its Properties

2017/01/03 by Kuldeep Singh Gehlot, Gehlot, Kuldeep Singh · 2 citations
Mathematics · #Mathematical functions and polynomials #Advanced Mathematical Identities #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1701.01052

Abstract

In this paper we introduce the Two Parameter Gamma Function, Beta Function and Pochhammer Symbol. We named them, as p - k Gamma Function, p - k Beta Function and p - k Pochhammer Symbol and denoted as _pΓ_k(x), _pB_k(x,y) and _p(x)_n,k respectively. We prove the several identities for _pΓ_k(x), _pB_k(x,y) and _p(x)_n,k those satisfied by the classical Gamma, Beta and Pochhammer Symbol. Also we provide the integral representation for the _pΓ_k(x) and _pB_k(x,y) .

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