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

Riemann–Schwarz Reflection Principle and Asymptotics of Modules of Rectangular Frames We investigate asymptotic behavior of the conformal module of a doubly connected domain which is the difference of two homothetic rectangles under stretching along the abscissa axis. Thereby, we give the answer to a question of Vuorinen. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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

Computational Methods and Function Theory , Volume 15 (1) – Sep 30, 2014

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0091-x
Publisher site
See Article on Publisher Site

Abstract

We investigate asymptotic behavior of the conformal module of a doubly connected domain which is the difference of two homothetic rectangles under stretching along the abscissa axis. Thereby, we give the answer to a question of Vuorinen.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Sep 30, 2014

References