Boundedness of Fatou components of the family f(z)=λsin(z)+a
arXiv:1909.13137
Abstract
In this paper we discuss the boundedness of the Fatou components for the sine family and the extended sine family, mainly when the parameter λhas modulus greater than 1 and the map is post-critically bounded.
Revised argument, so Lemma 2 and Lemma 3 in previous version are now Lemma 2. The main results are unchanged. References added