本文研究了以整函数为系数的二阶线性 微分方程解的幂和解生成的微分多项式的不动点问题,得到: 二阶线性微分方程解生成的微 分多项式的不动点性质,由于受到微分方程的限制,与一般亚纯函数的不动点 性质相比是十分有趣的.事实上, 它们与解的增长性密切相关.

In this paper, we investigate the problems on the fixed points of $k$-th power and differential polynomials generated by solutions of second order differential equations. Because of the control of differential equations, we obtain the precise properties of fixed points of polynomials.