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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 392, Pages 67–73 (Mi znsl4578)  
This article is cited in 3 scientific papers (total in 3 papers)

On the preservation of conformal capacity under meromorphic functions

V. N. Dubinin

Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (185 kB) Citations (3)
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Abstract: It is proved that a meromorphic function that preserves the capacity of a plane condenser is univalent in the field of the condenser.
Key words and phrases: conformal capacity, condenser, capacity of a condenser, meromorphic function.
Received: 28.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 184, Issue 6, Pages 699–702
DOI: https://doi.org/10.1007/s10958-012-0891-3
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “On the preservation of conformal capacity under meromorphic functions”, Analytical theory of numbers and theory of functions. Part 26, Zap. Nauchn. Sem. POMI, 392, POMI, St. Petersburg, 2011, 67–73; J. Math. Sci. (N. Y.), 184:6 (2012), 699–702
Citation in format AMSBIB
\Bibitem{Dub11}
\by V.~N.~Dubinin
\paper On the preservation of conformal capacity under meromorphic functions
\inbook Analytical theory of numbers and theory of functions. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 392
\pages 67--73
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4578}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 184
\issue 6
\pages 699--702
\crossref{https://doi.org/10.1007/s10958-012-0891-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864281748}
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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
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