The New Mittag-Leffler Function and Its Applications

U. Ayub, S. Mubeen, T. Abdeljawad, G. Rahman, Kottakkaran Sooppy Nisar and Ljubisa Kocinac

Journal of Mathematics, 2020, vol. 2020, 1-8

Abstract: In this paper, we investigate some properties of the Pochhammer p,s,k-symbol ξn,k,sp and gamma p,s,k-function Γs,kpξ. We then prove several identities for newly defined symbol ξn,k,sp and the function Γs,kpξ. The integral representations for the gamma p,s,k-function and beta p,s,k-function are presented. Also, we define a new Mittag-Leffler p,s,k-function and study its analytic properties and its transforms.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2463782

DOI: 10.1155/2020/2463782

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