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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
An extremal problem on non-overlapping domains containing ellipse points
Ya. V. Zabolotnii, I. V. Denega Department of complex analysis and potential theory,
Institute of mathematics of the National Academy of Sciences of Ukraine,
3 Tereschenkivska St,
01024 Kyiv, Ukraine
Аннотация:
An extremal problem of geometric function theory of a complex variable for the maximum
of products of the inner radii on a system of $n$ mutually non-overlapping multiply connected domains
$B_k$ containing the points $a_k$, $k=\overline{1,n}$, located on an arbitrary ellipse $\frac{x^2}{d^2}+\frac{y^2}{t^2}=1$ for which $d^2-t^2=1$,
is solved.
Ключевые слова и фразы:
inner radius of the domain, mutually non-overlapping domains, the Green function, quadratic differential, the Goluzin theorem.
Поступила в редакцию: 01.06.2020
Образец цитирования:
Ya. V. Zabolotnii, I. V. Denega, “An extremal problem on non-overlapping domains containing ellipse points”, Eurasian Math. J., 12:4 (2021), 82–91
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj424 https://www.mathnet.ru/rus/emj/v12/i4/p82
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Страница аннотации: | 85 | PDF полного текста: | 35 | Список литературы: | 15 |
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