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

作　　者：龚攀 程国飞[1] GONG Pan;CHENG Guo-fei(School of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,China)

机构地区：[1]上饶师范学院数学与计算机科学学院,江西上饶334001

出　　处：《数学的实践与认识》2023年第10期196-203,共8页Mathematics in Practice and Theory

基　　金：江西省教育厅科技计划基金(GJJ151051)。

摘　　要：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.

关 键 词：单位圆 [p q]级 亚纯函数 收敛指标 

分 类 号：O174.52[理学—数学]