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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 104, Pages 123–129
(Mi znsl3383)
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This article is cited in 3 scientific papers (total in 3 papers)
Asymptotics of some functions generalizing the Euler gamma-function
M. A. Kovalevsky
Abstract:
Asymptotic behavior of two classes of functions defined by some integrals is considered. The functions $1/\Gamma(z)$ and $1/\Gamma(z+1)$ are examples of functions of this classes. The problem of investigation
of this functions arises from the “connection problem” for a linear ordinary differential equations with two singular points. The theorem giving asymptotics of these functions when $|z|\to\infty$ in a certain sector is proved by making use of some lemmas and saddle point method.
Citation:
M. A. Kovalevsky, “Asymptotics of some functions generalizing the Euler gamma-function”, Mathematical problems in the theory of wave propagation. Part 11, Zap. Nauchn. Sem. LOMI, 104, "Nauka", Leningrad. Otdel., Leningrad, 1981, 123–129; J. Soviet Math., 20:1 (1982), 1826–1830
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https://www.mathnet.ru/eng/znsl3383 https://www.mathnet.ru/eng/znsl/v104/p123
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Abstract page: | 306 | Full-text PDF : | 203 |
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