|
This article is cited in 2 scientific papers (total in 2 papers)
Integral representation of the Mittag-Leffler function
V. V. Saenko Ulyanovsk State University, 42 L. Tolstoy str., Ulyanovsk, 432017 Russia
Abstract:
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.
Received: 23.07.2021 Revised: 23.07.2021 Accepted: 23.12.2021
Citation:
V. V. Saenko, “Integral representation of the Mittag-Leffler function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 4, 49–66; Russian Math. (Iz. VUZ), 66:4 (2022), 43–58
Linking options:
https://www.mathnet.ru/eng/ivm9768 https://www.mathnet.ru/eng/ivm/y2022/i4/p49
|
Statistics & downloads: |
Abstract page: | 114 | Full-text PDF : | 37 | References: | 21 | First page: | 8 |
|