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Dal'nevostochnyi Matematicheskii Zhurnal, 2007, Volume 7, Number 1-2, Pages 40–47 (Mi dvmg56)  
This article is cited in 3 scientific papers (total in 3 papers)

On the covering of radial segments under $p$-valent mappings of a disk and an annulus

V. N. Dubinina, V. Yu. Kimb

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
b Far Eastern National University
Full-text PDF (214 kB) Citations (3)
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Abstract: A covering theorem for radial segments is proved for $p$-valent functions in a circular annulus. As a corollary, a similar theorem for $p$-valent functions in a disc is obtained. These results contain many known covering theorems for conformal mappings.
Key words: $p$-valent function, conformal mapping, covering theorem, condenser capacity, dissymmetrization, Riemann surface.
Received: 27.06.2007
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: Primary 30C25; Secondary 30C85
Language: Russian
Citation: V. N. Dubinin, V. Yu. Kim, “On the covering of radial segments under $p$-valent mappings of a disk and an annulus”, Dal'nevost. Mat. Zh., 7:1-2 (2007), 40–47
Citation in format AMSBIB
\Bibitem{DubKim07}
\by V.~N.~Dubinin, V.~Yu.~Kim
\paper On the covering of radial segments under $p$-valent mappings of a disk and an annulus
\jour Dal'nevost. Mat. Zh.
\yr 2007
\vol 7
\issue 1-2
\pages 40--47
\mathnet{http://mi.mathnet.ru/dvmg56}
\elib{https://elibrary.ru/item.asp?id=15484745}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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