关于Wiman－Valiron理论

On The Theory of Wiman-Valiron

在本文中利用Ｍａｃｉｎｔｙｒｅ的一个简化方法，证明了Ｗｉｍａｎ－Ｖａｌｉｒｏｎ理论中一个定理的新形式，并给出它对于线性微分方程和代数微分方程的一些应用．

In the theory of Wiman-Valiron on entire functions￣[1,2],a theorem￣[2,a]on the derivatives of en-tire functions has important applications to differential equations.The purpose of this paper is to prove a new form of this theorem by a simplified method of Macintyre￣[4],and give some applications to linear differential equations and algebraic differential equations.