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arXiv · 1808.00875

A Study of Fatou Set, Julia set and Escaping Set in Nearly Abelian Transcendental Semigroup

Bishnu Hari Subedi·Ajaya Singh
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Abstract

We mainly generalize the notion of abelian transcendental semigroup to nearly abelian transcendental semigroup. We prove that Fatou set, Julia set and escaping set of nearly abelian transcendental semigroup are completely invariant. We investigate no wandering domain theorem in such a transcendental semigroup. We also obtain results on a complete generalization of the classification of periodic Fatou components.

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Bishnu Hari Subedi, Ajaya Singh. 2018-08-01. A Study of Fatou Set, Julia set and Escaping Set in Nearly Abelian Transcendental Semigroup. https://arxiv.org/abs/1808.00875

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