Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 6(26), Pages 5–17 (Mi vtgu355)  

MATHEMATICS

The problem of estimating the curvature of the level line under conformal mappings of a circle

I. A. Aleksandrov, S. A. Kopanev

Tomsk State University
References:
Abstract: A task about finding an exact upper estimate for the curvature of level lines on the class $S$ of univalent holomorphic mappings from a unit circle $S$ is justified as a topical one and its well-known partial solutions for subclasses of mappings from $S$ are presented.
Keywords: conformal mapping, level line, curvature, method of internal variations.
Received: 09.10.2013
Document Type: Article
UDC: 517.54
Language: Russian
Citation: I. A. Aleksandrov, S. A. Kopanev, “The problem of estimating the curvature of the level line under conformal mappings of a circle”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 6(26), 5–17
Citation in format AMSBIB
\Bibitem{AleKop13}
\by I.~A.~Aleksandrov, S.~A.~Kopanev
\paper The problem of estimating the curvature of the level line under conformal mappings of a~circle
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 6(26)
\pages 5--17
\mathnet{http://mi.mathnet.ru/vtgu355}
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    Вестник Томского государственного университета. Математика и механика
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