The Growth Rate of an Entire Function and the Hausdorff Dimension of Its Julia Set
نویسندگان
چکیده
Let f be a transcendental entire function in the Eremenko-Lyubich class B. We give a lower bound for the Hausdorff dimension of the Julia set of f that depends on the growth of f . This estimate is best possible and is obtained by proving a more general result concerning the size of the escaping set of a function with a logarithmic tract.
منابع مشابه
The Hausdorff Dimension of Julia Sets of Entire Functions Iv
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