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arXiv · 1803.09259

Dynamics on the Wandering Components of the Fatou Set of Three Transcendental Entire Functions and Their Composites

Bishnu Hari Subedi·Ajaya Singh
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Abstract

We prove that there exist three transcendental entire functions that have infinite number of domains which lie in the wandering component of each of these functions and their composites. This result is a generalization of the result of Dinesh Kumar, Gopal Datt and Sanjay Kumar. In particular, they proved that there exist two transcendental entire functions that have infinite number of domains which lie in the wandering components of each of these functions and their composites.

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Bishnu Hari Subedi, Ajaya Singh. 2018-03-25. Dynamics on the Wandering Components of the Fatou Set of Three Transcendental Entire Functions and Their Composites. https://arxiv.org/abs/1803.09259

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