高阶亚纯函数系数非齐次线性微分方程解的增长性  

The Growth of Solutions of Higher Order Non-homogeneous Linear Differential Equtions with Meromorphic Coefficients

作　　者：梅芳[1] 易才凤[2] 刘海南[1] 

机构地区：[1]江西农业大学理学院,江西南昌330045 [2]江西师范大学数信学院,江西南昌330027

出　　处：《江西农业大学学报》2003年第6期962-965,共4页Acta Agriculturae Universitatis Jiangxiensis

基　　金：江西农业大学科研基金资助项目

摘　　要：研究了高阶亚纯函数系数非齐次线性微分方程f(k)+Ak-1f(k-1)+…+A0f=Q·exp{E(z)}解的超级和二级不同零点收敛指数,在假设其系数满足一定的条件下,得到方程解的超级和二级不同零点收敛指数的精确估计。In this paper, the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of higher order non-homogeneous linear differential equations with meromorphic coefficients f (k) +A k-1 f (k-1) +...+A 0f=Q·exp{E(z)} are studied. When the coefficients satisfy some conditions,the precise estimates of the solutions of the equation are obtained.

关 键 词：亚纯函数 微分方程 超级 二级不同零点收敛指数 

分 类 号：O175.4[理学—数学]