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On a question of Eremenko concerning escaping components of entire functions

Lasse Rempe
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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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Lasse Rempe. 2007-03-16. On a question of Eremenko concerning escaping components of entire functions. https://doi.org/10.1112/blms%2Fbdm053

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