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arXiv · 0708.0941

An entire function with simply and multiply connected wandering domains

Walter Bergweiler
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Abstract

We modify a construction of Kisaka and Shishikura to show that there exists an entire function which has both a simply connected and a multiply connected wandering domain. Moreover, these domains are contained in the set of fast escaping points.

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Walter Bergweiler. 2007-08-07. An entire function with simply and multiply connected wandering domains. https://doi.org/10.4310/pamq.2011.v7.n1.a6

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