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Eurasian Mathematical Journal, 2021, Volume 12, Number 4, Pages 82–91
DOI: https://doi.org/10.32523/2077-9879-2021-12-4-82-91
(Mi emj424)
 

This article is cited in 3 scientific papers (total in 3 papers)

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
Full-text PDF (411 kB) Citations (3)
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Abstract: 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.
Keywords and phrases: inner radius of the domain, mutually non-overlapping domains, the Green function, quadratic differential, the Goluzin theorem.
Received: 01.06.2020
Bibliographic databases:
Document Type: Article
MSC: 30C75
Language: English
Citation: Ya. V. Zabolotnii, I. V. Denega, “An extremal problem on non-overlapping domains containing ellipse points”, Eurasian Math. J., 12:4 (2021), 82–91
Citation in format AMSBIB
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\by Ya.~V.~Zabolotnii, I.~V.~Denega
\paper An extremal problem on non-overlapping domains containing ellipse points
\jour Eurasian Math. J.
\yr 2021
\vol 12
\issue 4
\pages 82--91
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\crossref{https://doi.org/10.32523/2077-9879-2021-12-4-82-91}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Eurasian Mathematical Journal
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