STUDY OF GENERALIZED EXTENDED MITTAG-LEFFLER FUNCTION AND IT'S PROPERTIES

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 160

Volume : 14 , Issue : 1
DOI:
Author :
Nidhi Jolly (Department of Mathematics, Malaviya National Institute of Technology, Jhalana Gram, Malviya Nagar, Jaipur - 302017, Rajasthan, INDIA)
Rashmi Jain (Department of Mathematics, Malaviya National Institute of Technology, Jhalana Gram, Malviya Nagar, Jaipur - 302017, Rajasthan, INDIA)

Abstract

In this paper, we study various properties of generalized extended Mittag-Leffler function. Further, we derive some of it's integral transforms which include Mellin transform, Euler Beta transform and Laplace transform. This paper generalizes the results derived by Ozarslan and Yilmaz [5] and Shukla and Prajapati [11].

Keywords and Phrases

Mittag-Leffler function, Generalized Beta function, Laplace Transform, Mellin Transform.

A.M.S. subject classification

33E12, 33B15, 44A10.

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