Simply connected fast escaping Fatou components



Sixsmith, DJ ORCID: 0000-0002-3543-6969
(2012) Simply connected fast escaping Fatou components. Pure Appl. Math. Q., 8. 4-.

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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.

Item Type: Article
Uncontrolled Keywords: math.DS, math.DS, math.CV
Depositing User: Symplectic Admin
Date Deposited: 07 Apr 2017 08:33
Last Modified: 19 Jan 2023 07:06
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3006831