On a question of Eremenko concerning escaping components of entire functions

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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.
7 pages; 1 figure. V2: Final version (some minor changes)

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Dynamical Systems, Complex Variables, 37F10; 30D05

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http://salesiana.dossiersoluciones.com/handle/123456789/143944

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610453
 http://arxiv.org/abs/math/0610453
 Bull. London Math. Soc. 39 (2007), no. 4, 661 - 666
 doi:10.1112/blms/bdm053

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