关于一致凸函数

On Uniformly Convex Functions

设Ap(p是正整数)表示单位圆盘内形为f(z)=zp+ap+1zp+1+…的解析函数类.利用线性算子Lp(a,c)引进Ap的子类Hp(a,c,λ,μ)与Hp*(a,c,λ,μ).函数类H1(2,1,1,0)合于一致凸函数类.本文研究Hp(a,c,λ,μ)与Hp*(a,c,λ,μ)的重要性质.

Let Ap（p∈N） be the class of functions f（z）=Z^p＋αp＋1^Z^P＋1＋… analytic in the open unit disk. By using a linear operator Lp （ α, c） we introduce two subclasses Hp（α,c,λ,μ） and Hp^＊（α,c,λ,μ） of Ap and investigate some interesting properties of functions in these subclasses.