摘要：
设 Ap,n( p,n 是正整数)表示单位开圆盘 U ={z：|| z <1内形为 f (z)= z p +∑}∞ak zk 的解析k = p + n函数类。引进 Ap,n 的子类 H p,n(A,B,α,λ),导出一些有趣的性质,研究类 H p,n(A,B,α,1)中函数的 p 叶近于凸性和 p 叶星形性% Let Ap,n denote the class of functions of the form f (z)= z p + ∑ak zk ( p,n∈N={1,2,3…}), which are ana⁃∞k = p + n lytic in the open until disk U= {z:|z|<1}. The authors of this paper introduce a subclass Hp,n (A,B,α,λ). In particular, p-valent close-to-convexity and p-valent starlikeness for functions in Hp,n (A,B,α,1) are investigated in the paper.
