单位圆内一类亚纯函数系数高阶非齐次线性微分方程解的零点  

Zeros of solutions of some kinds of high order non-homogeneous linear differential equations with meromorphic coefficients in the unit disc

作　　者：罗丽琴[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：《南昌大学学报（理科版）》2016年第3期214-218,共5页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金项目(11301233);江西省自然科学基金项目(20151BAB201004)

摘　　要：研究单位圆内一类亚纯函数系数高阶非齐次线性微分方程,当方程系数A_0(z)起支配作用,且具有无限正则级,同时满足一定极点条件时,得到方程任意两个线性无关亚纯解的不同零点收敛指数的估计,所得结果推广了复平面上的相应结论。Several kinds of high order non-homogeneous linear differential equations in the unit disc were investigated.When A_0（z）is the dominating coefficient,has infinite regular order,and satisfies some conditions on its poles,the estimates on the convergence exponent of distinct zeros of any two linearly independent meromorphic solutions of the involved equation were obtained.These results generalize the corresponding results in the complex plane.

关 键 词：单位圆 亚纯函数系数 正则级 线性无关亚纯解 

分 类 号：O174.52[理学—数学]