Commuting functions in class K and families of wandering Baker domains
Dynamical Systems
2021-09-21 v1
Abstract
Given commuting functions f,g, with at most a countable compact set of essential singularities, recent results for entire functions are extended to prove that Julia sets match, J(f)=J(g), in a particular case in the class K. With this result on hand, a general form of functions in this class, is constructed with wandering Baker domains.
Keywords
Cite
@article{arxiv.2109.08953,
title = {Commuting functions in class K and families of wandering Baker domains},
author = {Adrián Esparza-Amador},
journal= {arXiv preprint arXiv:2109.08953},
year = {2021}
}