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Conformal Mapping of Parabola-Shaped Domains

Conformal Mapping of Parabola-Shaped Domains By a parabola-shaped domain we mean a planar domain lying between the curves y = x α and y = − x α, the case α = 1/2 corresponding to the standard parabola. We obtain asymptotic estimates for conformal mappings of such domains onto standard regions, and for the derivatives of such maps. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Conformal Mapping of Parabola-Shaped Domains

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Publisher
Springer Journals
Copyright
Copyright © 2004 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/BF03321059
Publisher site
See Article on Publisher Site

Abstract

By a parabola-shaped domain we mean a planar domain lying between the curves y = x α and y = − x α, the case α = 1/2 corresponding to the standard parabola. We obtain asymptotic estimates for conformal mappings of such domains onto standard regions, and for the derivatives of such maps.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

References