Functions with No Unbounded Fatou Components
arXiv:2108.12638 · doi:10.1080/17476933.2022.2041607
Abstract
For a transcendental entire function, a partial affirmative answer to Baker's question on the boundedness of its Fatou components is given. In addition, we have addressed Wang's question on Fejér gaps. Certain results about functions with Fabry gaps and of infinite order have also been generalized.