Article
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New Two Parameter Gamma Function
Version 1
: Received: 30 April 2020 / Approved: 30 April 2020 / Online: 30 April 2020 (16:31:51 CEST)
How to cite: Sing Gehlot, K. New Two Parameter Gamma Function. Preprints 2020, 2020040537. https://doi.org/10.20944/preprints202004.0537.v1 Sing Gehlot, K. New Two Parameter Gamma Function. Preprints 2020, 2020040537. https://doi.org/10.20944/preprints202004.0537.v1
Abstract
In this paper we introduce the New/Generalized two parameter Gamma function and Pochhammer symbol. We named them, as Generalized p - k Gamma Function and Generalized p - k Pochhammer symbol and denoted as $ _{p}^{a}\Gamma_{k}(x) $ and $ _{p}^{a}(x)_{n,k} $ respectively. We prove the several identities for $ _{p}^{a}\Gamma_{k}(x) $ and $ _{p}^{a}(x)_{n,k} $ those satisfied by the classical Gamma function. Also we provide the integral representation for the $ _{p}^{a}\Gamma_{k}(x) $
Keywords
New/Generalized two parameter Gamma function; New/Generalized two parameter Pochhammer symbol; Two Parameter Pochhammer symbol; Two parameter Gamma function; New/Generalized two parameter Psi function; New/Generalized p - k Hypergeometric function
Subject
Computer Science and Mathematics, Computational Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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