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arXiv:1307.5785 [math.DS]AbstractReferencesReviewsResources

On dynamics of composite entire functions and singularities

Dinesh Kumar, Sanjay Kumar

Published 2013-07-22, updated 2014-05-18Version 2

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.

Comments: 7 pages, accepted for publication in Bull. Cal. Math. Soc
Categories: math.DS
Subjects: 37F10, 30D05
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