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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 206, Pages 127–136 (Mi znsl5812)  
This article is cited in 1 scientific paper (total in 1 paper)

Some extremal problems for circular polygons

A. Yu. Solynin
Full-text PDF (373 kB) Citations (1)
Abstract: The main result of this paper is the solution of the following problem posed by J. Hersch (see [1]): find the maximum of conformal radii in the family of all hyperbolic polygons with $n$, $n\ge3$, sides. It is proved that the maximum is attained on the regular hyperbolic polygon. Bibliography: 5 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 80, Issue 4, Pages 1956–1961
DOI: https://doi.org/10.1007/BF02367011
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: A. Yu. Solynin, “Some extremal problems for circular polygons”, Investigations on linear operators and function theory. Part 21, Zap. Nauchn. Sem. POMI, 206, Nauka, St. Petersburg, 1993, 127–136; J. Math. Sci., 80:4 (1996), 1956–1961
Citation in format AMSBIB
\Bibitem{Sol93}
\by A.~Yu.~Solynin
\paper Some extremal problems for circular polygons
\inbook Investigations on linear operators and function theory. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 206
\pages 127--136
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255321}
\zmath{https://zbmath.org/?q=an:0813.30020|0860.30020}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 80
\issue 4
\pages 1956--1961
\crossref{https://doi.org/10.1007/BF02367011}
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  • https://www.mathnet.ru/eng/znsl/v206/p127
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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