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arXiv:1302.7249 [math.DS]AbstractReferencesReviewsResources

The dynamics of semigroups of transcendental entire functions I

Dinesh Kumar, Sanjay Kumar

Published 2013-02-28, updated 2014-05-18Version 7

We consider the dynamics associated with an arbitrary semigroup of transcendental entire functions. Fatou-Julia theory is used to investigate the dynamics of these semigroups. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroup case. We also investigate the dynamics of conjugate semigroups, Abelian transcendental semigroups and wandering and Baker domains of transcendental semigroups.

Comments: 12 pages, accepted for publication in Indian J. Pure Appl. Math
Categories: math.DS
Subjects: 37F10, 30D05
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