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Some Integral Transforms of the Generalized k-Mittag-Leffler Function
Feng Qi
Kottakkaran Sooppy Nisar
Version 1
: Received: 8 October 2016 / Approved: 8 October 2016 / Online: 8 October 2016 (10:41:37 CEST)
A peer-reviewed article of this Preprint also exists.
Journal reference: Publications de l'Institut Mathematique (Beograd) 2019, 106, 125-133
DOI: 10.2298/PIM1920125Q
Abstract
In the paper, the authors generalize the notion "k-Mittag-Leffler function'', establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function.
Keywords
integral transform; generalized k-Mittag-Leer function; generalized Wright function; generalized k-Wright function; gamma function
Subject
MATHEMATICS & COMPUTER SCIENCE, Analysis
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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Commenter: Feng Qi
Commenter's Conflict of Interests: I am the corresponding author of this manuscript.
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the corresponding author of this paper.
Kottakkaran Sooppy Nisar and Feng Qi, \textit{Some integral transforms of the generalized $k$-Mittag-Leffler function}, Publications de l'Institut Math\'ematique (Beograd) \textbf{103(117)} (2018), in press.