On a question of Eremenko concerning escaping components of entire functions

Details On a question of Eremenko concerning escaping components of entire functions On a question of Eremenko concerning escaping components of entire functions

2006-10-15

arxiv.org/abs/math/0610453v2

Bull. London Math. Soc. 39 (2007), no. 4, 661 - 666

Mathematics

Dynamical Systems

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

Scientific paper

10.1112/blms/bdm053

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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