Fatou, Julia, and escaping sets in holomorphic (sub)semigroup dynamics

We investigate under what conditions the Fatou, Julia, and escaping sets of a transcendental semigroup arerespectively equal to the Fatou, Julia, and escaping sets of their subsemigroups. We define the partial fundamental setand fundamental set of a holomorphic semigroup, and on the basis of these sets, we prove that the Fatou and escapingsets of a transcendental semigroup S are nonempty.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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