On a question of Eremenko concerning escaping components of entire functions
arXiv:math/0610453 · doi:10.1112/blms/bdm053
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.
7 pages; 1 figure. V2: Final version (some minor changes)