用积分算子定义的强星象函数和强凸象函数

Strongly Star-like Function and Strongly Convex Function Defined with Integral Operator

刻画了在U内的解析函数φ(z)的星象函数类S~*和凸象函数类K,定义了λ阶强星象函数和λ阶强凸象函数的新子类S~*(λ)和K(λ),讨论了这些函数类的充分条件.

This article described S~＊ and K which be the subclasses of A（ k） consisting of all star-like functions φ（ z） in U and of all convex functions φ（ z） in U,respectively,then the paper defined two new subclasses S~＊（ λ） and K （λ） which be strongly star-like of orderλ in U and strongly convex of order λ in U,we discussed some sufficient conditions for these functions.