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《Chinese Annals of Mathematics,series A》 2002-03
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FAMILY OF ε STARLIKE MAPPINGS (Ⅰ)

LIU Taishun GONG ShengDepartment of Mathematics, University of Science and Technology of China, Hefei 230026, China. E-mail: lts@ustc.edu.cn and gongs@sina.com  
In this paper, The authors define the family of ε starlike mappings, in purpose to treat the family of convex mappings and the family of starlike mappings as one family, and to understand the transition from one family to another. The criterion and Roper-Suffridge extension operator of the family of ε starlike mappings was considered.
【Fund】: 973计划、国家自然科学基金(No.19971082