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Article

A New Representation of Extended Mittage-Leffler Function and Its Properties

This version is not peer-reviewed.

Submitted:

14 April 2019

Posted:

16 April 2019

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Abstract
In this article, our main purpose is to establish a new extension of Mittag-Leffler function by using the known extended beta function $\mathbf{B}_{\omega}(a,b;p)$ introduced in [1]. It led to a novel extension of the applicability of Mittag-Leffler function that introduced them as distributions defined for a specific set of functions. We also, investigate some of its important properties, namely recursion relation, Mellin transform and differential formulas.
Keywords: 
Mittag-Leffler function; extended Mittag-Leffler function; Extended beta function; Fox Wright function
Subject: 
Computer Science and Mathematics  -   Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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