Article
KYUNGPOOK Math. J. 2019; 59(2): 325-333
Published online June 23, 2019
Copyright © Kyungpook Mathematical Journal.
Some Generating Relations of Extended Mittag-Leffler Functions
Nabiullah Khan, Mohd Ghayasuddin, Mohd Shadab∗
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India
e-mail : nukhanmath@gmail.com
Department of Mathematics, Faculty of Science, Integral University, Lucknow226026, India
e-mail : ghayas.maths@gmail.com
Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia(A Central University), New Delhi-110025, India
e-mail : shadabmohd786@gmail.com
Received: March 16, 2017; Revised: March 12, 2019; Accepted: March 18, 2019
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.