Functions with No Unbounded Fatou Components
Complex Variables
2022-12-09 v1 Dynamical Systems
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 Fej\'er gaps. Certain results about functions with Fabry gaps and of infinite order have also been generalized.
Cite
@article{arxiv.2108.12638,
title = {Functions with No Unbounded Fatou Components},
author = {Ramanpreet Kaur},
journal= {arXiv preprint arXiv:2108.12638},
year = {2022}
}