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arXiv · 0909.3988

On the Hausdorff dimension of the Julia set of a regularly growing entire function

Walter Bergweiler·Bogusława Karpińska
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Abstract

We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.

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Walter Bergweiler, Bogusława Karpińska. 2009-09-22. On the Hausdorff dimension of the Julia set of a regularly growing entire function. https://doi.org/10.1017/s0305004109990491

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