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arXiv · 2007.13174

Dynamics on Bungee set, Escaping set and Filled Julia set of Composite Transcendental Entire Functions

Dinesh Kumar·Ramanpreet Kaur
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Abstract

In this paper, we have investigated the Bungee set of composition of two transcendental entire functions. We have provided a class of permutable entire functions for which their Bungee sets are equal. Moreover, we have obtained a result on permutable entire functions for which the escaping set of the composite entire function equals the union of the escaping sets of the two functions. In addition, we establish important relations between the Bungee set, Escaping set and Filled Julia set of composite entire functions with that of its individual functions.

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Dinesh Kumar, Ramanpreet Kaur. 2023-02-17. Dynamics on Bungee set, Escaping set and Filled Julia set of Composite Transcendental Entire Functions. https://arxiv.org/abs/2007.13174

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