An Extension of the Mittag-Leffler Function and Its Associated Properties. (22nd September 2020)

• Record Type: Journal Article
• Authors: Rahman, Gauhar; Saboor, Abdus; Anjum, Zunaira; Nisar, Kottakkaran Sooppy; Abdeljawad, Thabet
• Other Names: Salahshour Soheil Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2020(2020)
• Publication Date: 2020-09-22
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2020/5792853
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : Inspired by certain fascinating ongoing extensions of the special functions such as an extension of the Pochhammer symbol and generalized hypergeometric function, we present a new extension of the generalized Mittag-Leffler (ML) function ε a, b ; p, v κ z 1 in terms of the generalized Pochhammer symbol. We then deliberately find certain various properties and integral transformations of the said function ε a, b ; p, v κ z 1 . Some particular cases and outcomes of the main results are also established.