Hayman's classical conjecture on some nonlinear second order algebraic ODEs
Complex Variables
2015-10-27 v1 Classical Analysis and ODEs
Abstract
In this paper, we study the growth, in terms of the Nevanlinna characteristic function, of meromorphic solutions of three types of second order nonlinear algebraic ordinary differential equations. We give all their meromorphic solutions explicitly, and hence show that all of these ODEs satisfy the {\it classical conjecture} proposed by Hayman in 1996.
Keywords
Cite
@article{arxiv.1503.07074,
title = {Hayman's classical conjecture on some nonlinear second order algebraic ODEs},
author = {Robert Conte and Tuen-Wai Ng and Cheng-Fa Wu},
journal= {arXiv preprint arXiv:1503.07074},
year = {2015}
}
Comments
15 pages, to appear, Complex variables and elliptic equations