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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 60–73 (Mi znsl5713)  
This article is cited in 3 scientific papers (total in 3 papers)

On the Jenkins covering circle theorem for holomorphic functions in a disk

V. N. Dubininab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (265 kB) Citations (3)
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Abstract: The well-known Jenkins' theorem on values omitted by univalent functions is extended for some meromorphic $p$-valent functions in the unit disk. The multiplicity of the function covering and the values of the functions in the critical points is taken into account.
Key words and phrases: symmetrization, condencer capacity, Riemann surface, $p$-valent function.
Received: 01.07.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 551–558
DOI: https://doi.org/10.1007/s10958-014-1943-7
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “On the Jenkins covering circle theorem for holomorphic functions in a disk”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 60–73; J. Math. Sci. (N. Y.), 200:5 (2014), 551–558
Citation in format AMSBIB
\Bibitem{Dub13}
\by V.~N.~Dubinin
\paper On the Jenkins covering circle theorem for holomorphic functions in a~disk
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 60--73
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5713}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 551--558
\crossref{https://doi.org/10.1007/s10958-014-1943-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904187161}
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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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