Riemann-Schwarz Reflection Principle and Asymptotics of Modules of Rectangular Frames

We investigate asymptotical behavior of the conformal module of a doubly-connected domain which is the difference of two homothetic rectangles under stretching it along the abscissa axis. Thereby, we give the answer to a question put by Prof. M.Vuorinen.

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Bibliographic Details
Published in:arXiv.org 2013-08
Main Author: Nasyrov, Semen R
Format: Article
Language:English
Subjects:
Asymptotic properties
Modules
Rectangles
Online Access:Get full text
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Description
Summary:We investigate asymptotical behavior of the conformal module of a doubly-connected domain which is the difference of two homothetic rectangles under stretching it along the abscissa axis. Thereby, we give the answer to a question put by Prof. M.Vuorinen.
ISSN:2331-8422