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math.CV2023
The limit set of iterations of entire functions on wandering domains
Jiaxing Huang, Jian-Hua Zheng
We first establish any continuum without interiors can be a limit set of iterations of an entire function on an oscillating wandering domain, and hence arise as a component of Juli…
math.CV2022
Connectivity of Fatou Components of Meromorphic Functions
Jiaxing Huang, Chengfa Wu, Jian-Hua Zheng
In this paper, we show that there exist transcendental meromorphic functions with a cycle of 2-periodic Fatou components, where one is simply connected while the other is doubly co…