The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps
Abstract
In this paper, we give a formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps fp(z)=zQ+p/zQ, where Q≥ 3 and p is small. This gives a lower bound of the Hausdorff dimension of the Julia sets of McMullen maps in the special cases.
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