Abstract: The main purpose of this paper is to prove some theorems on the growth of holomorphic solutions of algebraic differential equations of general form. For this we base upon a theorem on the derivatives of a holomorphic function in a ring-shaped domain. It completes, in some respects, a theorem proved by the author in a previous work on the theory of Wiman-Valiron.

Key words: algebraic differential equations, theory of Wiman-Valiron

摘要： 研究了一般形式的代数微分方程的全纯解的增长性，并证明了几个有关定理。证明是根据一个关于Wiman-Valiron理论的定理。

关键词: 代数微分方程, Wiman-Valiron理论