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arXiv · 1803.04598

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

Patricia Domínguez·Guillermo Sienra
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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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Patricia Domínguez, Guillermo Sienra. 2018-03-13. A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions. https://arxiv.org/abs/1803.04598

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