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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The argument of an extremal dilatation


Authors: Marvin Ortel and Wayne Smith
Journal: Proc. Amer. Math. Soc. 104 (1988), 498-502
MSC: Primary 30C60; Secondary 30C75
MathSciNet review: 962819
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Abstract: Suppose $ \kappa$ is the complex dilatation of an extremal quasiconformal homeomorphism of the unit disk onto itself. Then, except in special cases, the width of the set of arguments of $ \kappa$ must strictly exceed $ \pi $.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0962819-2
PII: S 0002-9939(1988)0962819-2
Article copyright: © Copyright 1988 American Mathematical Society