单位圆内解析系数的高阶齐次线性微分方程解与小函数的关系

The Relations Between Solutions of Higher Order Homogeneous Linear Differential Equations with Analytic Coefficients and Small Functions in the Unit Disc

本文对系数为单位圆内的解析函数的某类高阶齐次线性微分方程解的性质进行研究,得到解的增长级和超级的精确估计以及解与小函数之间的关系.

In this paper,we investigate the solution of a class of higher order homogeneous linear differential equation,where coefficients are analytic functions in the unit disc.We obtain some precise estimates of growth and hyper order of solution,the relations between solutions and small function.