A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions
Dynamical Systems
2018-03-14 v1
Abstract
Baker proved that for transcendental entire functions there is at most one completely invariant component of the Fatou set. It was observed by Julien Duval that there is a missing case in Baker's proof. In this article we follow Baker's ideas and give some alternative arguments to establish the result.
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Cite
@article{arxiv.1803.04598,
title = {A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions},
author = {Patricia Domínguez and Guillermo Sienra},
journal= {arXiv preprint arXiv:1803.04598},
year = {2018}
}
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10 pages