Functions of Genus Zero for Which the Fast Escaping Set Has Hausdorff Dimension Two
نویسنده
چکیده
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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تاریخ انتشار 2014