具有负系数的近于凸函数

On the Close-to-convex Functions with Negative Coefficients

该文利用复分析中的一些初等方法,讨论了具有负系数的近于凸函数族精确的系数估计,偏差定理,闭包定理,极值点问题及在分数次微积分上的应用,得到了其准确的结果,从而推广了一些作者的相关结果。

Sharp results concerning coefficients, distortion, covering theorems for the close- to- convex functions with negative coefficients are investigated. Extreme points and an application in the fractional calculus for this class are also detemined. These results extent some known theorems.