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

Abdul Ghaffar, Ayesha Saif, Faheem Khan
2019 unpublished
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.
doi:10.20944/preprints201904.0179.v1 fatcat:rbl5doekkfhvzom4jscpvjvqfi