关于某类负系数的单叶函数

ON UNIVALENT FUNCTION WITH NEGATIVE COEFFICIENTS

本文引入一个新的负系数函数族T(λ),0≤λ≤1。当λ=0时,T(λ)为T*,即T中的星形函数类;当λ=1时,T(λ)为Tc,即T中的凸函数类。文中笔者研究了T(λ)、T*及Tc的系数估计,偏差及覆盖定理,凸半径,极值点。

In this paper we introduced a new class of negative coefficients,. When = 0, is, that is starlike class of T;when = 1,is,that is convex class of T.in this paper, we obtain coefficient estimate, distortion and covering theorems and radius of convexity for the class, and.