Simply connected fast escaping Fatou components
Dynamical Systems
2016-01-26 v1 Complex Variables
Abstract
We give an example of a transcendental entire function with a simply connected fast escaping Fatou component, but with no multiply connected Fatou components. We also give a new criterion for points to be in the fast escaping set.
Cite
@article{arxiv.1201.1926,
title = {Simply connected fast escaping Fatou components},
author = {D. J. Sixsmith},
journal= {arXiv preprint arXiv:1201.1926},
year = {2016}
}