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arXiv · 1807.04499

Fatou Set, Julia Set and Escaping Set in Holomorphic Subsemigroup Dynamics

Bishnu Hari Subedi·Ajaya Singh
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Abstract

We investigate to what extent Fatou set, Julia set and escaping set of transcendental semigroup is respectively equal to the Fatou set, Julia set and escaping set of its subsemigroup. We define partial fundamental set and fundamental set of transcendental semigroup and on the basis of this set, we prove that Fatou set and escaping set of transcendental semigroup $ S $ are non-empty.

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Bishnu Hari Subedi, Ajaya Singh. 2018-07-12. Fatou Set, Julia Set and Escaping Set in Holomorphic Subsemigroup Dynamics. https://arxiv.org/abs/1807.04499

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