涉及Picard定理的移动超曲面多变量亚纯映射正规族  

Normal Family of Meromorphic Mappings of Several Variables with Moving Hypersurfaces Related to Picard Theorems

作　　者：陈玮 NGUYEN Van Thin 王琼[3] CHEN Wei;NGUYEN Van Thin;WANG Qiong(School of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;Department of Mathematics,Thai Nguyen University of Education,Thai Nguyen,Viet Nam;Chongqing Key Laboratory of Intelligent Analysis and Decision on Complex Systems,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学理学院,重庆400065 [2]Department of Mathematics,Thai Nguyen University of Education,Thai Nguyen,Viet Nam [3]重庆邮电大学复杂系统智能分析与决策重点实验室,重庆400065

出　　处：《数学年刊(A辑)》2024年第4期409-422,共14页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.12101099);中国博士后科学基金(No.2023M730387);重庆市自然科学基金(Nos.CSTB2022NSCQ-MSX0528,CSTB2023NSCQ-MSX0435);重庆市教育委员会科学技术研究项目(No.KJQN202300644);重庆市博士后特别资助项目(No.2022CQBSHTB2007)的资助。

摘　　要：作者证明了与Picard定理相关并涉及移动超曲面的全纯映射正规族的一些结果.另外,作者也得到一个涉及移动超曲面的亚纯映射拟正规定则.这些结果推广了前人的一些相关结论.In this paper,the authors prove some results about normal family of holomorphic mappings intersecting with moving hypersurfaces related to Nochka's Picard type theorems.They also get a quasi-normality criteria for meromorphic mappings intersecting with moving hypersurfaces.All of the results in this paper greatly extend some earlier related results.

关 键 词：全纯映射 正规族 正规映射 亚纯映射 

分 类 号：O174.52[理学—数学]