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On a question of Eremenko concerning escaping components of entire functions |
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| Authors: | Rempe Lasse |
| Institution: | Department of Mathematical Sciences University of Liverpool Liverpool L69 7ZL United Kingdom |
| Abstract: | Let f be an entire function with a bounded set of singular values,and suppose furthermore that the postsingular set of f is bounded.We show that every component of the escaping set I(f) is unbounded.This provides a partial answer to a question of Eremenko. |
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