Eurasian Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Eurasian Math. J.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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)
References:
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
\Bibitem{ZabDen21}
\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
\mathnet{http://mi.mathnet.ru/emj424}
\crossref{https://doi.org/10.32523/2077-9879-2021-12-4-82-91}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000737952800007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85123898032}
Linking options:
  • https://www.mathnet.ru/eng/emj424
  • https://www.mathnet.ru/eng/emj/v12/i4/p82
  • 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
    Statistics & downloads:
    Abstract page:85
    Full-text PDF :32
    References:15
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024