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arXiv · 1909.13137

Boundedness of Fatou components of the family f(z)=\lambda sin(z)+a

F. R. Martinez·G. Sienra
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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 \lambda has modulus greater than 1 and the map is post-critically bounded.

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F. R. Martinez, G. Sienra. 2019-09-28. Boundedness of Fatou components of the family f(z)=\lambda sin(z)+a. https://arxiv.org/abs/1909.13137

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