Julia's equation and differential transcendence
Complex Variables
2016-05-26 v2 Classical Analysis and ODEs
Abstract
We show that the iterative logarithm of each non-linear entire function is differentially transcendental over the ring of entire functions, and we give a sufficient criterion for such an iterative logarithm to be differentially transcendental over the ring of convergent power series.
Cite
@article{arxiv.1307.6381,
title = {Julia's equation and differential transcendence},
author = {Matthias Aschenbrenner and Walter Bergweiler},
journal= {arXiv preprint arXiv:1307.6381},
year = {2016}
}
Comments
17 pages