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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 226, Pages 80–92 (Mi znsl3723)  
This article is cited in 11 scientific papers (total in 11 papers)

Symmetrization, Green's function, and conformal mappings

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (1714 kB) Citations (11)
Abstract: Let $h(z\zeta)-\log|z-\zeta|$ be the Green function of a planar domain $D$. The behavior of the linear combination $h(z,z)-h(\zeta,\zeta)-2h(z,\zeta)$ under certain symmetrization transformations of $D$ is studied. Covering and distortion theorems in the theory of univalent functions are proved as applications. Bibl. 9 titles.
Received: 25.05.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 1, Pages 967–975
DOI: https://doi.org/10.1007/BF02358534
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Symmetrization, Green's function, and conformal mappings”, Analytical theory of numbers and theory of functions. Part 13, Zap. Nauchn. Sem. POMI, 226, POMI, St. Petersburg, 1996, 80–92; J. Math. Sci. (New York), 89:1 (1998), 967–975
Citation in format AMSBIB
\Bibitem{Dub96}
\by V.~N.~Dubinin
\paper Symmetrization, Green's function, and conformal mappings
\inbook Analytical theory of numbers and theory of functions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 226
\pages 80--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3723}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1433350}
\zmath{https://zbmath.org/?q=an:0898.30004|0886.30002}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 1
\pages 967--975
\crossref{https://doi.org/10.1007/BF02358534}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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