Version 1
: Received: 14 April 2019 / Approved: 16 April 2019 / Online: 16 April 2019 (10:36:23 CEST)
How to cite:
Ghaffar, A.; Saif, A.; Khan, F. A New Representation of Extended Mittage-Leffler Function and Its Properties. Preprints2019, 2019040179. https://doi.org/10.20944/preprints201904.0179.v1
Ghaffar, A.; Saif, A.; Khan, F. A New Representation of Extended Mittage-Leffler Function and Its Properties. Preprints 2019, 2019040179. https://doi.org/10.20944/preprints201904.0179.v1
Ghaffar, A.; Saif, A.; Khan, F. A New Representation of Extended Mittage-Leffler Function and Its Properties. Preprints2019, 2019040179. https://doi.org/10.20944/preprints201904.0179.v1
APA Style
Ghaffar, A., Saif, A., & Khan, F. (2019). A New Representation of Extended Mittage-Leffler Function and Its Properties. Preprints. https://doi.org/10.20944/preprints201904.0179.v1
Chicago/Turabian Style
Ghaffar, A., Ayesha Saif and Faheem Khan. 2019 "A New Representation of Extended Mittage-Leffler Function and Its Properties" Preprints. https://doi.org/10.20944/preprints201904.0179.v1
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 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.
