单位圆内高阶齐次线性微分方程解与小函数的关系

Relationship Between Solutions of the Higher Order Homogeneous Differential Equation and the Small Functions in the Unit Disc

研究了单位圆内的高阶齐次线性微分方程f^((k))+ A_(k-1)f^((k-1))+A_(k -2)f^((k-2))+ ...+A_1f'+A_0f=0的解,以及它们的一阶、二阶导数与小函数之间的关系,补充和推广了前人已有的结果.

In this paper, we investigate the solutions for the higher order homogeneous differentialequation f^（k）＋ Ak-1f^（k-1）＋Ak -2f^（k-2）＋ ...＋A_1f＇＋A_0f=0, and the relationship between their first,second derivatives and small functions, complement and generalize the existing results.