An Extension of the Mittag‐Leffler Function and Its Associated Properties

Gauhar Rahman, Abdus Saboor, Zunaira Anjum, Kottakkaran Sooppy Nisar and Thabet Abdeljawad

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

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 εa,b;p,vκz1 in terms of the generalized Pochhammer symbol. We then deliberately find certain various properties and integral transformations of the said function εa,b;p,vκz1. Some particular cases and outcomes of the main results are also established.

Date: 2020
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https://doi.org/10.1155/2020/5792853

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:5792853

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