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Conformal Images and the Angle of Parallelism

Conformal Images and the Angle of Parallelism We use classical hyperbolic geometry to estimate the Euclidean size of the image of a subset of a simply connected hyperbolic region under a conformal mapping onto the open unit disk. The results are obtained without knowing the explicit form of the conformal mapping. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Conformal Images and the Angle of Parallelism

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321814
Publisher site
See Article on Publisher Site

Abstract

We use classical hyperbolic geometry to estimate the Euclidean size of the image of a subset of a simply connected hyperbolic region under a conformal mapping onto the open unit disk. The results are obtained without knowing the explicit form of the conformal mapping.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Nov 19, 2011

References