亚纯映射分担移动目标的唯一性定理  

Uniqueness theorems of meromorphic mappings sharing moving targets

作　　者：曹廷彬[1] 阮海洪 CAO Tingbin;RUAN Haihong(Depatment of Mathematics,Nanchang University,Nanchang 330031,China;The Army Infantry Academy of PLA,Nanchang 330103,China)

机构地区：[1]南昌大学数学系,江西南昌330031 [2]陆军步兵学院,江西南昌330103

出　　处：《南昌大学学报（理科版）》2023年第2期103-108,共6页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11871260)。

摘　　要：研究亚纯映射分担移动目标的唯一性问题,在Quang-An所做的关于移动目标的第二基本定理的基础上考虑重值,获得了带截断重数的第二基本定理,并应用所得的第二基本定理获得了两个带截断重数的亚纯映射分担移动目标的唯一性定理,推广了前人所做的工作。In this paper,the uniqueness problem of meromorphic maps sharing moving targets is studied.The Second Main theorem with truncated multiplicity is obtained by considering multiplicity on the basis of the Second Main theorems on moving targets made by Quang-An,and two uniqueness theorems with truncated multiplicities of meromorphic mappings sharing moving targets is obtained by applying the obtained Second Main theorems.The new theorems extend the earlier work.

关 键 词：多复变 值分布理论 唯一性定理 亚纯映射 移动目标 截断重数 

分 类 号：O174.52[理学—数学]