Simply Connected Fast Escaping Fatou Components

D. J. Sixsmith
2012 Pure and Applied Mathematics Quarterly  
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.
doi:10.4310/pamq.2012.v8.n4.a10 fatcat:g3ql2qlfcfhtnhuubgmm3e6vyi