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The New Mittag-Leffler Function and Its Applications
Journal of Mathematics ( IF 1.3 ) Pub Date : 2020-12-19 , DOI: 10.1155/2020/2463782
U. Ayub, S. Mubeen, T. Abdeljawad, G. Rahman, Kottakkaran Sooppy Nisar

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

中文翻译:

新的Mittag-Leffler函数及其应用

在本文中,我们研究了Pochhammer的一些特性 -符号和伽玛-功能然后,我们为新定义的符号和函数证明几个身份伽玛的积分表示-功能和Beta-功能介绍。此外,我们定义了一个新的Mittag-Leffler-功能并研究其分析特性及其变换。
更新日期:2020-12-20
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