论文标题

Mittag-Leffler函数的积分表示

Integral representation of the Mittag-Leffler function

论文作者

Saenko, Viacheslav V.

论文摘要

已经获得了伽马函数的积分表示的概括,这表明汉克轮廓假设在复杂平面中旋转。设置了轮廓旋转角的可允许值的范围。使用此积分表示,已经获得了Mittag-Leffler函数的积分表示的概括,以表达该函数的值以轮廓积分表示。

Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using this integral representation, generalization of the integral representation of the Mittag-Leffler function has been obtained that expresses the value of this function in terms of the contour integral.

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