On Algebraic Differential Equations

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

On Algebraic Differential Equations

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.