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arXiv:1401.0425 [math.DS]AbstractReferencesReviewsResources

The dynamics of semigroups of transcendental entire functions II

Dinesh Kumar, Sanjay Kumar

Published 2014-01-02, updated 2015-12-01Version 4

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.

Comments: 14 pages. Accepted for publication in Indian J. Pure Appl. Math.(2015). arXiv admin note: text overlap with arXiv:1405.0224, arXiv:1406.2453
Categories: math.DS
Subjects: 37F10, 30D05
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