Simply connected fast escaping Fatou components

Sixsmith, D. J. (2012). Simply connected fast escaping Fatou components. Pure and Applied Mathematics Quarterly, 8(4) pp. 1029–1046.

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.

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