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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 1, Pages 179–188 (Mi uzku1109)  
On some surfaces defined by conformal radius

A. N. Akhmetovaa, A. V. Khmelnitskayab

a Kazan State Technical University
b Zelenodolsk Branch of Kazan State University
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Abstract: In this paper, we study the properties of the conformal radius surface constructed over a unit disk or over the exterior of a unit disk for a domain with a convex boundary curve containing rectilinear part. We also discuss the properties of the conformal radius surface constructed over a half-plane for a domain with a polygonal boundary curve as well as the properties of the surface of the reconstructed conformal radius.
Keywords: conformal radius, surface of the conformal radius, convex domain, convex polygon, coefficient of the hyperbolic metric.
Received: 06.03.2009
Revised: 19.10.2011
Document Type: Article
UDC: 517.546
Language: Russian
Citation: A. N. Akhmetova, A. V. Khmelnitskaya, “On some surfaces defined by conformal radius”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 1, Kazan University, Kazan, 2012, 179–188
Citation in format AMSBIB
\Bibitem{AkhKhm12}
\by A.~N.~Akhmetova, A.~V.~Khmelnitskaya
\paper On some surfaces defined by conformal radius
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 1
\pages 179--188
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1109}
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