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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 2, Pages 238–246 (Mi dvmg312)  
Distortion theorem for bounded univalent functions

N. A. Pavlov

Far Eastern Federal University, Vladivostok
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Abstract: Distortion theorem for bounded univalent functions in the unit disk is proven. Estimate includes angular derivatives in two boundary points and Schwarzian derivative in interior point of the unit disk.
Key words: univalent functions, angular derivative, Schwarzian derivative, capacity of condenser.
Received: 22.07.2015
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: Primary 30C75; Secondary 30C85
Language: Russian
Citation: N. A. Pavlov, “Distortion theorem for bounded univalent functions”, Dal'nevost. Mat. Zh., 15:2 (2015), 238–246
Citation in format AMSBIB
\Bibitem{Pav15}
\by N.~A.~Pavlov
\paper Distortion theorem for bounded univalent functions
\jour Dal'nevost. Mat. Zh.
\yr 2015
\vol 15
\issue 2
\pages 238--246
\mathnet{http://mi.mathnet.ru/dvmg312}
\elib{https://elibrary.ru/item.asp?id=25058097}
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