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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About

• Item ORO ID
• 37043
• Item Type
• Journal Item
• ISSN
• 1558-8602
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2012 International Press of Boston
• Depositing User
• Dave Sixsmith