Non-invariant infinitely connected cycle of Baker domains

期刊论文
发表日期：

2025年2月8日

查看全文

Janina Kotus,
Marco Montes de Oca Balderas

摘要

We give the first example of a non-invariant cycle of Baker domains of infinite connectivity for non-entire meromorphic functions. We also prove the necessary and sufficient condition for a cycle of Baker domains to be infinitely connected in terms of critical points for the family $f(z)=\lambda e^z+\frac{\mu }{z}$ $f (z) = λ e^{z} + \frac{μ}{z}$ , where $\lambda $ $λ$ and $\mu $ $μ$ are defined in the paper.