二阶亚纯函数系数的非齐次微分方程解的增长性

On the Growth of Solutions of Second Order Non-Homogeneous Differential Equations with Meromorphic Coefficients

研究了二阶亚纯函数系数的非齐次微分方程ｆ″+Ａ(ｚ)ｆ′+Ｂ(ｚ)ｆ=Ｆ无穷级亚纯解的增长性,对大多数亚纯解的超级得到了精确的估计.

In this paper,we investigate the growth of infinite order meromorphic solutions of second order non-homogeneous differential equations with meromorphic coefficients f ″+A(z)f ′+B(z)f=F.For most of meromorphic solutions,we obtain some precise estimates for their hyper-order.