Abstract
The main result of this paper is the solution of the following problem posed by J. Hersch: find the maximal conformal radius on the family of all hyperbolic polygons with n sides (n ≥ 3). It is proved that the maximum is attained on a regular polygon. Bibliography: 5 titles.
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Literature Cited
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1993, pp. 127–136.
Translated by A. Yu. Solynin.
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Solynin, A.Y. Some extremal problems for circular polygons. J Math Sci 80, 1956–1961 (1996). https://doi.org/10.1007/BF02367011
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DOI: https://doi.org/10.1007/BF02367011