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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 429, Pages 34–43 (Mi znsl6065)  
This article is cited in 14 scientific papers (total in 14 papers)

Bounded holomorphic functions covering no concentric circles

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 (182 kB) Citations (14)
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Abstract: By the symmetrization method, the growth and distortion theorems for the functions mentioned in the title of the paper are proved. Precise estimates for the moduli of such functions and of their derivatives at inner and boundary points and an estimate for the Schwarzian derivative are given.
Key words and phrases: holomorphic function, distortion theorem, Schwarz lemma, Schwarz derivative.
Received: 01.08.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 6, Pages 825–831
DOI: https://doi.org/10.1007/s10958-015-2406-5
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Bounded holomorphic functions covering no concentric circles”, Analytical theory of numbers and theory of functions. Part 29, Zap. Nauchn. Sem. POMI, 429, POMI, St. Petersburg, 2014, 34–43; J. Math. Sci. (N. Y.), 207:6 (2015), 825–831
Citation in format AMSBIB
\Bibitem{Dub14}
\by V.~N.~Dubinin
\paper Bounded holomorphic functions covering no concentric circles
\inbook Analytical theory of numbers and theory of functions. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 429
\pages 34--43
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6065}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 6
\pages 825--831
\crossref{https://doi.org/10.1007/s10958-015-2406-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949627201}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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