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

Nidhi Jolly; Rashmi Jain

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

Volume 14, Issue 1 Pages 47-58 April 30, 2018 212 downloads

Article overview

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 functionGeneralized Beta functionLaplace TransformMellin Transform.

AMS Subject Classification

33E12, 33B15, 44A10.

Reference information

How to Cite

Nidhi Jolly, Rashmi Jain (2018). STUDY OF GENERALIZED EXTENDED MITTAG-LEFFLER FUNCTION AND IT'S PROPERTIES. South East Asian Journal of Mathematics and Mathematical Sciences, 14(1), 47-58.

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