关于二阶齐次线性微分方程解的增长性

On the Growth of Solutions of Second Order Homogeneous Linear Differential Equations

该文研究了二阶齐次线性微分方程ｆ″＋Ａｅｐｆ′＋ＢｅＱｆ＝０的解的增长性，其中Ｐ，Ｑ为次数不同的多项式，Ａ，Ｂ为级分别小于ｅＰ，ｅＱ的级的整函数．对于上述方程的大部分解。

In this paper we investigate the growth of solutions of second order homogeneous linear differential equations f″+Ae pf′+Be Qf=0 where P,Q are polynomials with different degrees,A,B are entire functions,their orders are less than orders of e p,e Q respectively.For the greater part of solutions of above equations,we obtain precise estimate to the growth of these solutions