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An Extension of the Mittag-Leffler Function and Its Associated Properties
Advances in Mathematical Physics ( IF 1.2 ) Pub Date : 2020-09-22 , DOI: 10.1155/2020/5792853
Gauhar Rahman, Abdus Saboor, Zunaira Anjum, Kottakkaran Sooppy Nisar, Thabet Abdeljawad

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

中文翻译:

Mittag-Leffler函数的扩展及其相关性质

受某些特殊功能(例如Pochhammer符号的扩展)和广义超几何功能的不断扩展的启发,我们针对广义Pochhammer符号提出了广义Mittag-Leffler(ML)函数的新扩展。然后,我们故意找到了所述函数的某些各种性质和积分变换还确定了一些特殊情况和主要结果的结果。
更新日期:2020-09-22
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