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arXiv · 1609.03915

Results on escaping set of an entire function and its composition

Ramanpreet Kaur·Dinesh Kumar
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Abstract

Given two permutable entire functions $f$ and $g,$ we establish vital relationship between escaping sets of entire functions $f, g$ and their composition. We provide some families of transcendental entire functions for which Eremenko's conjecture holds. In addition, we investigate the dynamical properties of the mapping $f(z)=z+1+e^{-z}.$

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Ramanpreet Kaur, Dinesh Kumar. 2016-09-13. Results on escaping set of an entire function and its composition. https://arxiv.org/abs/1609.03915

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