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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 314, Pages 52–75 (Mi znsl749)  
This article is cited in 14 scientific papers (total in 14 papers)

Some applications of generalized condensers to analytic function theory

V. N. Dubinin, N. V. Eyrikh

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (272 kB) Citations (14)
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Abstract: New applications of generalized condensers with two or more plates are considered. Based on one and the same approach and simplest properties of such condensers, boundary distortion theorems for analytic univalent functions bounded in a disk are established, as well as bounds for certain combinations of coefficients in expansions of such functions, inequalities for polynomials, and theorems on extremal decompositions of the complex sphere. Part of the results obtained contains new information on the Schwarzian derivative of a regular univalent function.
Received: 19.08.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 6, Pages 1634–1647
DOI: https://doi.org/10.1007/s10958-006-0076-z
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, N. V. Eyrikh, “Some applications of generalized condensers to analytic function theory”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 52–75; J. Math. Sci. (N. Y.), 133:6 (2006), 1634–1647
Citation in format AMSBIB
\Bibitem{DubEyr04}
\by V.~N.~Dubinin, N.~V.~Eyrikh
\paper Some applications of generalized condensers to analytic function theory
\inbook Analytical theory of numbers and theory of functions. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 314
\pages 52--75
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl749}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119734}
\zmath{https://zbmath.org/?q=an:1083.30026}
\elib{https://elibrary.ru/item.asp?id=9129779}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 6
\pages 1634--1647
\crossref{https://doi.org/10.1007/s10958-006-0076-z}
\elib{https://elibrary.ru/item.asp?id=13511170}
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  • https://www.mathnet.ru/eng/znsl/v314/p52
    • 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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    References:57
     
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