某些解析函数类的单叶性  

ON THE UNIVALENCE OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS

作　　者：徐能[1] 杨定恭[2] 

机构地区：[1]常熟高等专科学校,常熟215500 [2]苏州大学数学科学学院,苏州215006

出　　处：《苏州大学学报（自然科学版）》1999年第1期9-14,共6页Journal of Soochow University(Natural Science Edition)

摘　　要：本文定义了近于凸函数类的子类Ｓ＾＊ｃ（ｎ，ａ），Ｓ＾＊ｘ（ｎ，ａ），Ｃｃ（ｎ，ａ）与Ｃｘ（ｎ，ａ）并求得精确的半径ρ，In this paper we define four Subclasses S_C~*(n, α), S_(SC)~* (n, a ), C_c (n, a ) and C_(sc) (n, a ) of the class of close-to-convesx functions and find out the sharp radius of the disc in which f(z) = (cF(z) + zF' (z))/(c + 1)(c > -1) belongs to S_c~* (n,β), S_(sc)~* (n,β), C_C(n, β) and C_(sc)(n, β), where F(z) belongs to S_c~* (n,α), S_(sc)~*(n,α), C_c(n,α) and C_(sc)(n, α) in |z|<1,with n ∈ N and 0≤α≤β<1,respectively.

关 键 词：共轭点 对称共轭点 星形 单叶性 解析函数 

分 类 号：O174.51[理学—数学]