Boundedness of Fatou components of the family f(z)=λsin(z)+a

2019/09/28 by Martinez, F. R., Sienra, G.
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/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.

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