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arXiv · 1401.0425

The dynamics of semigroups of transcendental entire functions II

Dinesh Kumar·Sanjay Kumar
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Abstract

We introduce the concept of escaping set for semigroups of transcendental entire functions using Fatou-Julia theory. Several results of the escaping set associated with the iteration of one transcendental entire function have been extended to transcendental semigroups. We also investigate the properties of escaping sets for conjugate semigroups and abelian transcendental semigroups. Several classes of transcendental semigroups for which Eremenko's conjectures hold have been provided.

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Dinesh Kumar, Sanjay Kumar. 2014-01-02. The dynamics of semigroups of transcendental entire functions II. https://arxiv.org/abs/1401.0425

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