Journal of Advances in Mathematics and Computer Science

A New Generalized Gamma Function and Its Properties

Inci Ege *

Department of Mathematics, University of Aydn Adnan Menderes, Aydin, Turkiye.

*Author to whom correspondence should be addressed.

---

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.

Keywords: Gamma function, polygamma function, p-analogue, convexity, monotonicity, inequality

---

---