Some extremal problems for circular polygons

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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.

Original languageEnglish
Pages (from-to)1956-1961
Number of pages6
JournalJournal of Mathematical Sciences
Volume80
Issue number4
DOIs
StatePublished - 1996

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