Functions of genus zero for which the fast escaping set has Hausdorff dimension two
نویسندگان
چکیده
منابع مشابه
Functions of Genus Zero for Which the Fast Escaping Set Has Hausdorff Dimension Two
We study a family of transcendental entire functions of genus zero, for which all of the zeros lie within a closed sector strictly smaller than a half-plane. In general these functions lie outside the Eremenko-Lyubich class. We show that for functions in this family the fast escaping set has Hausdorff dimension equal to two.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2015-12487-2