推广的非 Bazilevic函数的beta 阶星像性

详细信息

Starlikeness of order beta for generalized non-Bazilevic functions

摘要: 建立了2个微分从属引理，应用微分从属和微分不等式的方法，得到了非 Bazilevi\u{c}函数是 $\beta$ 阶星像函数和强星像函数的一些充分条件.
- 解析函数, 星像函数, 强拟星像函数, 从属，非 Bazilevic函数.
Abstract: The starlikeness of order $\beta$ and strongly starlikeness for generalized non-Bazilevi\u{c} functions are investigated. Firstly, two lemmas of differential subordination are established. By applying differential subordination and differential inequality, some sufficient conditions are obtained for validating that generalized class of non-Bazilevi\u{c} functions are a subclass of starlike functions of order $\beta$ or strongly starlike functions of order $\gamma$ .
- analytic function, starlike function, strongly starlike function, subordination, non-Bazilevic function.