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Research Article Open access CC BY 4.0

A New Generalized Gamma Function and Its Properties

Inci Ege

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 16 May 2022

10.9734/jamcs/2022/v37i430443

Abstract

In this work, we introduce a new generalized Gamma function, which is named as p-v-Gamma function and provide some properties generalizing those satisfied by the classical Gamma function. We also give some convexity and monotonicity properties. Furthermore, we establish some inequalities related to this new function.

Gamma function polygamma function p-analogue convexity monotonicity inequality

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