复Banach空间单位球上星形映射子族齐次展开式的精确估计  

The Sharp Estimate of the Third and the Fourth Homogeneous Expansions for Subclasses of Starlike Mappings on the Unit Ball in complex Banach Space

作　　者：陈诗菲 刘小松 CHEN Shifei;LIU Xiaosong(School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong 524048,China)

机构地区：[1]岭南师范学院数学与统计学院,广东湛江524048

出　　处：《岭南师范学院学报》2018年第6期19-29,共11页Journal of Lingnan Normal University

基　　金：广东省自然科学基金(2014A030307016)

摘　　要：在复Banach空间单位球上建立了一类α次星形映射子族和一类α次殆星形映射子族第三、四项齐次展开式的精确估计,并且在一定的限制条件下,多复变数中关于星形映射子族第三、四项齐次展开式的猜想成立.In this paper,the sharp estimates of the third and the fourth homogeneous expansions for a subclass of starlike mapping of order and a subclass of almost starlike mapping of order on the unit ball in complex banach space are established,and the Bieberbach conjecture concerning the third and the fourth homogeneous expansions for starlike mapping holds with the restricted condition.

关 键 词：单位球 α次星形映射 α次殆星形映射 第三、四项齐次展开式 

分 类 号：O174.56[理学—数学]