On questions of Fatou and Eremenko

Rippon, P.J. and Stallard, G.M. (2005). On questions of Fatou and Eremenko. Proceedings of the American Mathematical Society, 133(4) pp. 1119–1126.

DOI: https://doi.org/10.1090/S0002-9939-04-07805-0

Abstract

Let be a transcendental entire function and let be the set of points whose iterates under tend to infinity. We show that has at least one unbounded component. In the case that has a Baker wandering domain, we show that is a connected unbounded set.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI

About

• Item ORO ID
• 3840
• Item Type
• Journal Item
• ISSN
• 1088-6826
• Extra Information
• Some of the symbols may not have transferred correctly into this bibliographic record. (First published in Proceedings of the American Mathematical Society in volume 133, issue 4, 2005, published by the American Mathematical Society)
• Keywords
• trascendental entire function; escaping set
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Depositing User
• Gwyneth Stallard