亚纯函数及其平移函数单边分担两个集合的唯一性  

The uniqueness of meromorphic functions partially shares two sets with their shifts

作　　者：叶铃滢 沈寿华 YE Ling-ying;SHEN Shou-hua(College of Mathematics and Statistics,Fujian Normal University,Fuzhou,Fujian 350117,China;School of Mathematics and Information Engineering,Longyan College,Longyan,Fujian 364012,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]龙岩学院数学与信息工程学院,福建龙岩364012

出　　处：《宁德师范学院学报（自然科学版）》2022年第3期232-240,共9页Journal of Ningde Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11801291);福建省自然科学基金(2019J05047,2019J01672,2018R0038);宁德师院创新团队项目(2019T01).

摘　　要：研究超级小于1的亚纯函数分担值集的唯一性问题.证明亚纯函数与其平移函数单边分担两个集合S1(9个元素)和S2(2个元素)时两者恒等,并进一步证明两个集合基数分别为7和2及5和2条件下亚纯函数与其平移函数的唯一性.This paper studies the uniqueness of meromorphic functions of hyper order less than 1 sharing two sets,and proves that there exist two sets S1(with 9 elements)and S2(with 2 elements),such that mero⁃morphic functions and their shifts are idential if they share the two sets partially.Furthermore,we investi⁃gate the uniqueness of meromorphic functions and their shifts which share two sets with cardinalities 7 and 2 or 5 and 2,respectively.

关 键 词：亚纯函数 唯一性 单边分担集 平移函数 

分 类 号：O174.52[理学—数学]