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The Hausdorff dimension of Julia sets of entire functions II

Published online by Cambridge University Press:  24 October 2008

Gwyneth M. Stallard
Gwyneth M. Stallard
Affiliation:
The Open University, Walton Hall, Milton Keynes, MK7 6AA
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Abstract

Let f be a transcendental entire function such that the finite singularities of f−1 lie in a bounded set. We show that the Hausdorff dimension of the Julia set of such a function is strictly greater than one.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 3 , April 1996 , pp. 513 - 536
Copyright
Copyright © Cambridge Philosophical Society 1996

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