Meromorphic solutions of higher order Briot-Bouquet differential equations
Classical Analysis and ODEs
2012-02-07 v2 Complex Variables
Abstract
For differential equations where is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.
Keywords
Cite
@article{arxiv.0707.2898,
title = {Meromorphic solutions of higher order Briot-Bouquet differential equations},
author = {A. Eremenko and L. W. Liao and T. W. Ng},
journal= {arXiv preprint arXiv:0707.2898},
year = {2012}
}