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C~n中单位球上全纯映射凸半径一个注记(英文)
引用本文:徐继军,王晓凤,刘浩.C~n中单位球上全纯映射凸半径一个注记(英文)[J].数学季刊,2012(3):323-327.
作者姓名:徐继军  王晓凤  刘浩
作者单位:Department of Mathematics, Zhengzhou Normal University;Department of Mathematics and Physics, Henan University of Urban Construction;Institute of Mathematics and Information Science, Henan University
基金项目:Supported by the NNSF of China(10971219)
摘    要:In this paper, we prove that: if M is a family which has convexity radius, then the convexity radius for M and the second order item coefficients of every mapping in M are closely related to each other. As an application, we show that the convexity radius of starlike mappings r(S~*) < 2-3~(1/2).

关 键 词:starlike  mappings  growth  theorems  convex  radius

One Note on the Convexity Radius of Holomorphic Mappings on the Unit Ball in C~n
XU Ji-jun,WANG Xiao-feng,LIU Hao.One Note on the Convexity Radius of Holomorphic Mappings on the Unit Ball in C~n[J].Chinese Quarterly Journal of Mathematics,2012(3):323-327.
Authors:XU Ji-jun  WANG Xiao-feng  LIU Hao
Institution:1.Department of Mathematics, Zhengzhou Normal University, Zhengzhou, Henan, 450044, China; 2.Department of Mathematics and Physics, Henan University of Urban Construction, Pingdingshan 467036, China; 3.Institute of Mathematics and Information Science, Henan University, Kaifeng 475004, China)
Abstract:
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