推广的非Bazilevi函数的β阶星像性  

Starlikeness of Order β for Generalized Non-Bazilevi Functions

作　　者：刘名生[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2013年第1期14-18,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：教育部博士点基金项目(20050574002)

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函数是β阶星像函数和强星像函数的一些充分条件.The starlikeness of orderβ and strongly starlikeness for generalized non - Bazilevic functions are investi- gated. 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 - Bazilevic functions are a subclass of starlike functions of orderβ or strongly starlike functions of order γ

关 键 词：解析函数 星像函数 强拟星像函数 从属 非Bazilevic函数 

分 类 号：O174.51[理学—数学]