Bieberbach猜想的一个应用及S族的一个性质

One Application about Bieberbach Conjecture and a Property of S—family

运用Bieberbach猜想及级数收敛的定义获得了S族函数及其导函数的模有上界的简洁证明。同时运用面积原理与极限的定义证明了S族函数在原点附近具有保二维测度微小变化的性质。

One succinct proof about the modulus of S--family function and its derived function having upper bound is given by Bieberbach conjecture and the definition of series convergence. At the same time, one property that S--family functions keep two--dimension measure of tiny change near the zero is proved by the area--principle and the definition of limit.