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A New Class of Integrals Involving Extended Mittag–Leffler Functions
Gauhar Rahman
Abdul Ghaffar
Kottakkaran Sooppy Nisar
Version 1
: Received: 26 May 2017 / Approved: 31 May 2017 / Online: 31 May 2017 (15:58:34 CEST)
How to cite: Rahman, G.; Ghaffar, A.; Nisar, K.S.; Mubeen, S. A New Class of Integrals Involving Extended Mittag–Leffler Functions. Preprints 2017, 2017050222 (doi: 10.20944/preprints201705.0222.v1). Rahman, G.; Ghaffar, A.; Nisar, K.S.; Mubeen, S. A New Class of Integrals Involving Extended Mittag–Leffler Functions. Preprints 2017, 2017050222 (doi: 10.20944/preprints201705.0222.v1).
Abstract
The main aim of this paper is to establish two generalized integral formulas involving the extended Mittag–Leffler function based on the well known Lavoie and Trottier integral formula and the obtain results are express in term of extended Wright-type function. Also, we establish certain special cases of our main result.
Subject Areas
extended Mittag–Leffler function; Wright-type hypergeometric functions; extended Wright-type hypergeometric functions
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.
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