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arXiv · 1307.5785

On dynamics of composite entire functions and singularities

Dinesh Kumar·Sanjay Kumar
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Abstract

We consider the dynamical properties of transcendental entire functions and their compositions. We give several conditions under which Fatou set of a transcendental entire function $f$ coincide with that of $f\circ g,$ where $g$ is another transcendental entire function. We also prove some result giving relationship between singular values of transcendental entire functions and their compositions.

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Dinesh Kumar, Sanjay Kumar. 2014-05-18. On dynamics of composite entire functions and singularities. https://arxiv.org/abs/1307.5785

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