复域微分方程解的不动点与迭代级

The Fixed Piont and Iterated Order of the Solutions of Differential Equation in Complex Plane

文中引入了亚纯函数f(z)的不动点i级收敛指数的概念,并用以研究系数为超越整函数且级无穷的n阶线性微分方程解的不动点与迭代级,得到了一些相关的性质与结果.

In this paper,we introduce the iterated i-order convergence exponent of the sequence of meromorphic function f(z).It is used to investigate the fixed point and the iterated order of solutions of linear differential equations,whose coefficients are entire,transcendental,and of infinite order.We obtain some properties and results.