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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1001–1006
(Mi smj2325)
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This article is cited in 2 scientific papers (total in 2 papers)
On asymptotics of a piecewise analytic function satisfying contact conditions
N. A. Zhuraa, A. P. Soldatovb a P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
b Belgorod State University, Belgorod
Abstract:
We examine a piecewise analytic function that is defined in sectors of a disk whose real and imaginary parts obey contact conditions on adjacent boundary parts. Under the assumption of the power behavior, the sharp asymptotics of this function is established at the center of the disk.
Keywords:
analytic function, contact conjugation condition, power logarithmic asymptotics.
Received: 08.10.2011
Citation:
N. A. Zhura, A. P. Soldatov, “On asymptotics of a piecewise analytic function satisfying contact conditions”, Sibirsk. Mat. Zh., 53:5 (2012), 1001–1006; Siberian Math. J., 53:5 (2012), 800–804
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https://www.mathnet.ru/eng/smj2325 https://www.mathnet.ru/eng/smj/v53/i5/p1001
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Abstract page: | 343 | Full-text PDF : | 91 | References: | 50 | First page: | 14 |
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