The Geometry of Bounded Type Entire Functions
نویسنده
چکیده
We construct functions in the Eremenko-Lyubich class (transcendental entire functions with bounded singular set) whose level-sets have prescribed geometry. We also give a related result for the Speiser class (finite singular set) and discuss some differences between these two classes. The construction may be considered as an approximation result using functions in class B that complements recent approximation results of Lasse Rempe-Gillen. Date: Dec 2012. 1991 Mathematics Subject Classification. Primary: 30C62 Secondary:
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تاریخ انتشار 2013