On a question of Eremenko concerning escaping components of entire functions
Dynamical Systems
2007-12-11 v2 Complex Variables
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.
Cite
@article{arxiv.math/0610453,
title = {On a question of Eremenko concerning escaping components of entire functions},
author = {Lasse Rempe},
journal= {arXiv preprint arXiv:math/0610453},
year = {2007}
}
Comments
7 pages; 1 figure. V2: Final version (some minor changes)