Dynamics of composite entire functions
arXiv:1207.5930
Abstract
It is known that the dynamics of $f$ and $g$ vary to a large extent from that of its composite entire functions. Using Approximation theory of entire functions, we have shown the existence of entire functions $f$ and $g$ having infinite number of domains satisfying various properties and relating it to their composition. We have explored and enlarged all the maximum possible ways of the solution in comparison to the past result worked out.
29 pages, an abridged version of this paper has been accepted for publication in J. Ind. Math. Soc