Sharp distortion theorems for a subclass of close-to-convex mappings  

作　　者：Qinghua XU Taishun LIU Xiaosong LIU 

机构地区：[1]College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China [2]Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China [3]School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China

出　　处：《Frontiers of Mathematics in China》2013年第6期1425-1436,共12页中国高等学校学术文摘·数学（英文）

摘　　要：We introduce the class of strongly close-to-convex mappings of order c~ in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a complex Hilbert space X or the unit polydisc in Cn. As an application, a sharp growth theorem for strongly close-to-convex mappings of order α is obtained.We introduce the class of strongly close-to-convex mappings of order c~ in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a complex Hilbert space X or the unit polydisc in Cn. As an application, a sharp growth theorem for strongly close-to-convex mappings of order α is obtained.

关 键 词：Distortion theorem growth theorem strongly close-to-convexmappings of order α 

分 类 号：O174.56[理学—数学] TP317.4[理学—基础数学]