On meromorphic solutions of certain nonlinear differential equations
On meromorphic solutions of certain nonlinear differential equations
复制标题
DOI：
10.1017/s000497270004017x
复制
发表时间：
2002-10
影响因子：
0.7
通讯作者：
J. Heittokangas;R. Korhonen;I. Laine
中科院分区：
文献类型：
--
作者：
J. Heittokangas;R. Korhonen;I. Laine
本文研究了一类非线性微分方程L（f）+ P（z，f）= h（z）亚纯解的增长性，其中L（f）表示f中的线性微分多项式，P（z，f）是f中的多项式，都具有小的亚纯系数，h（z）是亚纯函数.特别是L（f）− p（z）fn = h（z），其中p（z）是一个小的亚纯函数，我们考虑了只有少数极点的亚纯解的唯一性.我们的结果补充了以前由于C. C.杨
In this paper, we consider the growth of meromorphic solutions of nonlinear differential equations of the form L (f) + P (z, f) = h (z), where L (f) denotes a linear differential polynomial in f, P (z, f) is a polynomial in f, both with small meromorphic coefficients, and h (z) is a meromorphic function. Specialising to L (f) − p (z) fn = h (z), where p (z) is a small meromorphic function, we consider the uniqueness of meromorphic solutions with few poles only. Our results complement earlier ones due to C.-C. Yang.