Permutable entire functions satisfying algebraic differential equations
Complex Variables
2018-01-08 v1 Classical Analysis and ODEs
Abstract
It is shown that if two transcendental entire functions permute, and if one of them satisfies an algebraic differential equation, then so does the other one.
Keywords
Cite
@article{arxiv.math/0511117,
title = {Permutable entire functions satisfying algebraic differential equations},
author = {Walter Bergweiler},
journal= {arXiv preprint arXiv:math/0511117},
year = {2018}
}
Comments
5 pages