2015
DOI: 10.1090/conm/639/12821
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On Fatou components and omitted values

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Cited by 7 publications
(5 citation statements)
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“…Let U m be periodic for some m ≥ 0. It can be shown that U k is infinitely connected for all k ≥ m (See Lemma 3.5 [5]). Therefore U m is neither a Siegel disk nor a Herman ring.…”
Section: Existencementioning
confidence: 99%
See 1 more Smart Citation
“…Let U m be periodic for some m ≥ 0. It can be shown that U k is infinitely connected for all k ≥ m (See Lemma 3.5 [5]). Therefore U m is neither a Siegel disk nor a Herman ring.…”
Section: Existencementioning
confidence: 99%
“…Sufficient conditions for existence of bov for meromorphic functions follows from some earlier work reported by Nayak [5].…”
Section: Existencementioning
confidence: 99%
“…Example 1(2) discusses functions with an omitted value which has two infinitely connected Fatou components. The question of whether such Fatou components can exist was raised in [10]. To our knowledge, this is the first such example.…”
Section: Introductionmentioning
confidence: 96%
“…Details on the classification of singularities can be found in [12]. These are known to control a number of aspects of the dynamics of a function, as reported in [10,11,16]. A Baker omitted value is always a limit point of critical values (See Lemma 2.4 in the next section).…”
Section: Introductionmentioning
confidence: 99%