An entire function with simply and multiply connected wandering domains

Details An entire function with simply and multiply connected wandering domains An entire function with simply and multiply connected wandering domains

2007-08-07

arxiv.org/abs/0708.0941v1

Pure Appl. Math. Quarterly 7 (2011), 107-120

Mathematics

Complex Variables

10 pages

Scientific paper

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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