Convergence of Infinite Composition of Entire Functions
Complex Variables
2010-09-16 v1
Abstract
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions becomes an entire function. Moreover, as an example of such functions, we study a function called Poincare function.
Cite
@article{arxiv.1009.2833,
title = {Convergence of Infinite Composition of Entire Functions},
author = {Shota Kojima},
journal= {arXiv preprint arXiv:1009.2833},
year = {2010}
}