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Normal family of quasimeromorphic mappings

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【Author】 SUN Daochun & YANG Lo1. Department of Mathematics, South China Normal University, Guangzhou 510631, China2. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China Correspondence should be addressed to Sun Daochun (email: sundch@scnu.edu.cn)

【机构】 Department of Mathematics； South China Normal University； Guangzhou 510631； China； Academy of Mathematics and System Sciences； Chinese Academy of Sciences； Beijing 100080； China；

【摘要】 <正> The more general quasimeromorphic mappings are studied with the geometric method. The necessary and sufficient conditions for the normality of the family of quasimeromorphic mappings are discussed. We proved two inequalities on the covering surface and obtained some normal criteria on quasimeromorphic mappings with them. Obviously, these criteria hold for meromorphic functions.更多还原

【Abstract】 The more general quasimeromorphic mappings are studied with the geometric method. The necessary and sufficient conditions for the normality of the family of quasimeromorphic mappings are discussed. We proved two inequalities on the covering surface and obtained some normal criteria on quasimeromorphic mappings with them. Obviously, these criteria hold for meromorphic functions.更多还原

【关键词】 quasimeromorphic mapping； normal family； covering surface.；
【Key words】 quasimeromorphic mapping； normal family； covering surface.；

【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,2003年04期

【分类号】O174.52
【被引频次】1
【下载频次】58

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