单位圆内二阶线性微分方程解的[p,q]级与小函数的关系

The Relations Between the [p,q]-Order of Solutions of.Second Order Linear Differential Equations with Small Functions in the Unit Disc

对二阶线性微分方程f''+A(z)f'+B(z)f=F(z)解的[p,q]级与小函数φ(z)的关系进行研究,其中A(z),B(z)(■0)和F(z)(■0)是单位圆△={z∈C:|z|<1}内[p,q]级有限的解析函数或亚纯函数,从而得到了一些复振荡理论.

In this paper,we investigate the relations between the [p,q]-order of solutions of second order linear differential equation f''+A(z)f'+B(z)f=F(z) with small functions φ(z),where A(z),B(z)(■0)and F(z)(■0)are analytic functions or meromorphic functions of finite[p,q]-order in the unit disc △={z∈C:|z|<1}.We obtain some oscillation theorems.