On the Fekete and Szego Problem for Starlike Mappings of Order α  

作　　者：Qing Hua XU Fang FANG Tai Shun LIU 

机构地区：[1]College of Mathematics and Information Science, JiangXi Normal University, Nanchang 330022, P. R. China [2]Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2017年第4期554-564,共11页数学学报（英文版）

基　　金：Supported by NNSF of China(Grant Nos.11561030,11471111 and 11261022);the Jiangxi Provincial Natural Science Foundation of China(Grant Nos.20152ACB20002 and 20161BAB201019);Natural Science Foundation of Department of Education of Jiangxi Province,China(Grant No.GJJ150301)

摘　　要：Let Sα*be the familiar class of normalized starlike functions of order α in the unit disk. In this paper, we establish the Fekete and Szeg? inequality for the class Sα*, and then we generalize this result to the unit ball in a complex Banach space or on the unit polydisk in Cn.Let S_α~*be the familiar class of normalized starlike functions of order α in the unit disk. In this paper, we establish the Fekete and Szeg? inequality for the class S_α~*, and then we generalize this result to the unit ball in a complex Banach space or on the unit polydisk in C^n.

关 键 词：Fekete–Szego problem starlike mappings of order α sharp coefficient bound 

分 类 号：O174[理学—数学]