Dal'nevostochnyi Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dal'nevost. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Dal'nevostochnyi Matematicheskii Zhurnal, 2017, Volume 17, Number 2, Pages 201–209 (Mi dvmg354)  
This article is cited in 1 scientific paper (total in 1 paper)

On the lemniscates of rational functions

V. N. Dubinina, A. S. Afanaseva-Grigorevab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
Full-text PDF (519 kB) Citations (1)
References:
PDF
HTML
Abstract: The impact of the connectivity of some lemniscates of the rational function on the absolute value of its derivative is considered. The role of the lemniscates in the problems of the extremal decomposition of the Riemann sphere is discussed.
Key words: rational function, lemniscate, extremal decomposition, condenser capacity, symmetrization.
Funding agency Grant number
Russian Science Foundation 14-11-00022
Received: 12.06.2017
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: Primary 30C10; Secondary 30C15
Language: Russian
Citation: V. N. Dubinin, A. S. Afanaseva-Grigoreva, “On the lemniscates of rational functions”, Dal'nevost. Mat. Zh., 17:2 (2017), 201–209
Citation in format AMSBIB
\Bibitem{DubAfa17}
\by V.~N.~Dubinin, A.~S.~Afanaseva-Grigoreva
\paper On the lemniscates of rational functions
\jour Dal'nevost. Mat. Zh.
\yr 2017
\vol 17
\issue 2
\pages 201--209
\mathnet{http://mi.mathnet.ru/dvmg354}
\elib{https://elibrary.ru/item.asp?id=32239883}
Linking options:
  • https://www.mathnet.ru/eng/dvmg354
  • https://www.mathnet.ru/eng/dvmg/v17/i2/p201
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дальневосточный математический журнал
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024