亚纯函数及其平移的唯一性  

Uniqueness of Meromorphic Functions and Their Shifts

作　　者：聂晓汤 林伟川[1] 吴爱迪 NIE Xiaotang;LIN Weichuan;WU Aidi(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China;College of Computer and Information Sciences,Fujian Agriculture and Forestry University,Fuzhou 350002,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]福建农林大学计算机与信息学院,福建福州350002

出　　处：《福建师范大学学报（自然科学版）》2022年第2期1-6,共6页Journal of Fujian Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11801291);福建省自然科学基金资助项目(2019J05047、2019J01672、2018R0038)。

摘　　要：研究了超级小于1的亚纯函数分担两个值集的唯一性问题.证明了亚纯函数与其平移函数单边分担两个集合S_(1)(9个元素),S_(2)(1个元素)时两者恒等.进一步地,在两个集合基数分别为4和1的条件下,建立了亚纯函数与其平移函数之间的关系.This paper studies the uniqueness of meromorphic functions of hyper order less than 1 sharing two sets, and proves that there exist two sets S_(1)(with 9 elements) and S_(2)(with 1 element),such that meromorphic functions and their shifts are idential if they share the two sets unilaterally. Furthermore, we investigate the relationship between meromorphic functions and their shifts which share two sets with cardinalities 4 and 1,respectively.

关 键 词：亚纯函数 唯一性 分担集合 平移 

分 类 号：O174.52[理学—数学]