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Matematicheskie Zametki, 1976, Volume 19, Issue 3, Pages 381–388 (Mi mzm7756)  
This article is cited in 2 scientific papers (total in 2 papers)

An estimate of the curvature of level curves in a class of univalent functions

V. V. Chernikov

Tomsk State University
Full-text PDF (553 kB) Citations (2)
Abstract: In this note a class of normalized functions which are univalent in the unit disk is considered. An exact solution of the problem of an upper estimate of curvature of level curves for functions of this class is obtained. In particular, an exact solution of this problem for univalent functions with real coefficients at the points of the interval $(0,1)$ is obtained.
Received: 07.01.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 3, Pages 232–236
DOI: https://doi.org/10.1007/BF01437856
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: V. V. Chernikov, “An estimate of the curvature of level curves in a class of univalent functions”, Mat. Zametki, 19:3 (1976), 381–388; Math. Notes, 19:3 (1976), 232–236
Citation in format AMSBIB
\Bibitem{Che76}
\by V.~V.~Chernikov
\paper An estimate of the curvature of level curves in a~class of univalent functions
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 3
\pages 381--388
\mathnet{http://mi.mathnet.ru/mzm7756}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=409785}
\zmath{https://zbmath.org/?q=an:0338.30011|0334.30010}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 3
\pages 232--236
\crossref{https://doi.org/10.1007/BF01437856}
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  • https://www.mathnet.ru/eng/mzm/v19/i3/p381
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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