The dynamics of semigroups of transcendental entire functions I
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2013
- DOI:
- 10.48550/arXiv.1302.7249
- arXiv:
- arXiv:1302.7249
- Bibcode:
- 2013arXiv1302.7249K
- Keywords:
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- Mathematics - Dynamical Systems;
- 37F10;
- 30D05
- E-Print:
- 12 pages, accepted for publication in Indian J. Pure Appl. Math