应用数学2013，Vol.26Issue(1)：114-124,11.
亚纯系数的高阶线性微分方程的解的增长性
Growth of Solutions of Some Higher Order Linear Differential Equations with Meromorphic Coefficients
摘要
Abstract
In this paper,we investigate the higher order linear differential equations with meromorphic coefficients.When the coefficients of the equation satisfy some conditions,we prove that every meromorphic solution f(z)((≠) 0) of it is of infinite order and hyper-order n.In addition,we also consider meromorphic solutions of the nonhomogeneous linear differential equation.关键词
线性微分方程/亚纯解/超级/不同零点的超收敛指数Key words
Linear differential equation/ Meromorphic solution/ Hyper-order/ Hyper exponent of convergence of distinct zero分类
数理科学引用本文复制引用
何静,郑秀敏..亚纯系数的高阶线性微分方程的解的增长性[J].应用数学,2013,26(1):114-124,11.基金项目
Supported by the National Natural Science Foundation of China (11126145),the Natural Science Foundation of Jiangxi Province in China (20114BAB211003),and the Youth Science Foundation of Education Bureau of Jiangxi Province in China (GJJ11072) （11126145）
