Dinesh Kumar, Sanjay Kumar
Published 2014-10-10Version 1
We discuss the dynamics of an arbitrary semigroup of transcendental entire functions using Fatou-Julia theory and provide some condition for the complete invariance of escaping set and Julia set of transcendental semigroups. Some results on limit functions and postsingular set have been discussed. A class of hyperbolic transcendental semigroups and semigroups having no wandering domains have also been provided.
Comments: 8 pages, work in progress. Comments are welcome
Hausdorff dimensions of escaping sets of transcendental entire functions
Lebesgue measure of Julia sets and escaping sets of certain entire functions
The escaping set of the exponential
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