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Uniformly perfect Julia sets of meromorphic functions

2005
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Bulletin of the Australian Mathematical Society
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Julia sets of meromorphic functions are uniformly perfect under some suitable conditions. So are Julia sets of the skew product associated with finitely generated semigroup of rational functions. Pommerenke and Beardon [5, 12, 13] introduced and studied the uniformly perfect sets. Following Pommerenke, many authors have researched the topic, and many papers on the uniformly perfect sets have appeared in the literature. It was proved that the Julia sets of rational functions are uniformly

doi:10.1017/s0004972700038387
fatcat:fxuxmtfbzbfe5meiykgufw6sde