关键词: &alpha, 级星像函数类, &alpha, 级凸像函数类, 从属

Abstract:

Using lemmas in [1-3], we obtain some sufficient conditions for subordinations of zf'(z)/f(z) and starlikeness and convexity of f(z) by studying f(z), which generalizes the related results in [1-4].

Key words: Starlike of order α, Convex of order α, Subordination