Dynamics of composite entire functions
Dynamical Systems
2015-10-08 v5
Abstract
It is known that the dynamics of and 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 and 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.
Cite
@article{arxiv.1207.5930,
title = {Dynamics of composite entire functions},
author = {Dinesh Kumar and Gopal Datt and Sanjay Kumar Pant},
journal= {arXiv preprint arXiv:1207.5930},
year = {2015}
}
Comments
29 pages, an abridged version of this paper has been accepted for publication in J. Ind. Math. Soc