Integral Representation of the Mittag-Leffler Function

被引：1
|
作者：
Saenko, V. V. [1 ]
机构：
[1] Ulyanovsk State Univ, Ulyanovsk 432017, Russia
来源：
RUSSIAN MATHEMATICS | 2022年 / 66卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
gamma function; Mittag-Leffler function; UNIFORM BRANCH; POISSON;
D O I：
10.3103/S1066369X22040053
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain a generalization of the integral representation of the gamma function, which shows that the Hankel contour allows the rotation in the complex plane. The range of allowable values for the rotation angle of the contour is set. Using this integral representation, we obtain a generalization of the integral representation of the Mittag-Leffler function that expresses the value of this function through the contour integral.
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页码：43 / 58
页数：16
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