Geodesic
Integral representation of the Mittag-Leffler function
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 49-66

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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.
Keywords: gamma-function, Mittag-Leffler function. 
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     author = {V. V. Saenko},
     title = {Integral representation of the {Mittag-Leffler} function},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {49--66},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_4_a4/}
}
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V. V. Saenko. Integral representation of the Mittag-Leffler function. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 49-66. http://geodesic.mathdoc.fr/item/IVM_2022_4_a4/