In this paper,we find a subclass of starlike functions on the unit disk,which are mapped by a operator,given by F(z)=1+u/zu∫z0 f(t)tu-1dt(Re u≥0),onto convex functions.The main results extend some known results.
基金Supported by the National Natural Science Foundation of Mathematics Tianyuan Fund(A0524629)
文摘In this paper,we find a subclass of starlike functions on the unit disk,which are mapped by a operator,given by F(z)=1+u/zu∫z0 f(t)tu-1dt(Re u≥0),onto convex functions.The main results extend some known results.