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http://dx.doi.org/10.5666/KMJ.2019.59.2.325

Some Generating Relations of Extended Mittag-Leffler Functions  

Khan, Nabiullah (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University)
Ghayasuddin, Mohd (Department of Mathematics, Faculty of Science, Integral University)
Shadab, Mohd (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia(A Central University))
Publication Information
Kyungpook Mathematical Journal / v.59, no.2, 2019 , pp. 325-333 More about this Journal
Abstract
Motivated by the results on generating functions investigated by H. Exton and many other authors, we derive certain (presumably) new generating functions for generalized Mittag-Leffler-type functions. Specifically, we introduce a new class of generating relations (which are partly bilateral and partly unilateral) involving the generalized Mittag-Leffler function. Also we present some special cases of our main result.
Keywords
generalized Mittag-Leffler's function; hypergeometric function; generating function;
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