Fatou Set, Julia Set and Escaping Set in Holomorphic Subsemigroup Dynamics
Dynamical Systems
2018-07-13 v1
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 are non-empty.
Keywords
Cite
@article{arxiv.1807.04499,
title = {Fatou Set, Julia Set and Escaping Set in Holomorphic Subsemigroup Dynamics},
author = {Bishnu Hari Subedi and Ajaya Singh},
journal= {arXiv preprint arXiv:1807.04499},
year = {2018}
}
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14 pages