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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 6(26), Pages 5–17
(Mi vtgu355)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vtgu355 https://www.mathnet.ru/eng/vtgu/y2013/i6/p5
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Abstract page: | 207 | Full-text PDF : | 79 | References: | 50 | First page: | 1 |
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