亚纯系数的高阶线性微分方程的解的增长性(英文)  

Growth of Solutions of Some Higher Order Linear Differential Equations with Meromorphic Coefficients

作　　者：何静[1] 郑秀敏[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《应用数学》2013年第1期114-124,共11页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11126145);the Natural Science Foundation of Jiangxi Province in China(20114BAB211003);the Youth Science Foundation of Education Bureau of Jiangxi Province in China(GJJ11072)

摘　　要：本文研究亚纯系数的高阶线性微分方程,当方程系数满足一定条件时,得到方程的每一非零亚纯解具有无穷级且超级为n.此外,还研究了非齐次线性微分方程的亚纯解.In this paper,we investigate the higher order linear differential equations with meromor- phic coefficients. When the coefficients of the equation satisfy some conditions,we prove that every meromorphic solution f（z）（≠ O） 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 

分 类 号：O174.52[理学—数学]