Primeness and dynamics of some classes of entire functions
Complex Variables
2019-11-20 v3
Abstract
In this paper we investigate the primeness of a class of entire functions and discuss the dynamics of a periodic member f of this class with respect to a transcendental entire function g that permutes with f. In particular we show that the Julia sets of f and g are identical.
Cite
@article{arxiv.1808.08394,
title = {Primeness and dynamics of some classes of entire functions},
author = {Kuldeep Singh Charak and Manish Kumar and Anil Singh},
journal= {arXiv preprint arXiv:1808.08394},
year = {2019}
}
Comments
Earlier version replaced after carrying out corrections and modifications