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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 5, Pages 987–996
DOI: https://doi.org/10.1070/IM1968v002n05ABEH000688 (Mi im2503) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Extremal conformal mappings and poles of quadratic differentials

P. M. Tamrazov
English version PDF (555 kB) Citations (25) Russian version article
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DOI: https://doi.org/10.1070/IM1968v002n05ABEH000688
Abstract: Conformal metric properties of multiply-connected planar domains are studied that are related to conformal mappings into the number sphere; problems are solved involving the extremalization of the distance between the images of boundary components or level lines, the diameters of boundary components, modules, etc. These problems are distinguished by the fact that the quadratic differentials occurring in them have five distinct poles which are free of any essential restrictions.
Received: 06.06.1967
Bibliographic databases:
UDC: 517.54
MSC: 30F45, 30C70, 30C20, 30C45, 30D30
Language: English
Original paper language: Russian
Citation: P. M. Tamrazov, “Extremal conformal mappings and poles of quadratic differentials”, Math. USSR-Izv., 2:5 (1968), 987–996
Citation in format AMSBIB
\Bibitem{Tam68}
\by P.~M.~Tamrazov
\paper Extremal conformal mappings and poles of quadratic differentials
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 5
\pages 987--996
\mathnet{http://mi.mathnet.ru//eng/im2503}
\crossref{https://doi.org/10.1070/IM1968v002n05ABEH000688}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=235105}
\zmath{https://zbmath.org/?q=an:0172.37703}
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  • https://www.mathnet.ru/eng/im/v32/i5/p1033
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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