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arXiv:1803.04598 [math.DS]AbstractReferencesReviewsResources

A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions

Patricia Domínguez, Guillermo Sienra

Published 2018-03-13Version 1

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.

Comments: 10 pages
Categories: math.DS
Subjects: 30D05, 37F45
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