代数体函数的几个定理  

Several Theorems of Algebroid Functions

作　　者：谭洋 TAN Yang(School of Applied Mathematics,Beijing Normal University,Zhuhai 519085,China)

机构地区：[1]北京师范大学珠海分校应用数学学院

出　　处：《华南师范大学学报（自然科学版）》2020年第1期100-103,共4页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11871108,11571362);北京师范大学珠海分校教师科研能力促进计划

摘　　要：应用Nevanlinna理论,首先,研究了代数体函数的唯一性问题,将亚纯函数五值强化定理推广到代数体函数,得到了3v+1值强化定理;其次,研究了当分担值较少时2个代数体函数特征函数之间的关系,推广了亚纯函数四值定理.The Nevanlinna theory is used,firstly,to investigate the uniqueness of algebroid functions,extend the strengthening five-valued theorem of meromorphic function to algebroid function and obtain the strengthening 3v+1-valued theorem of algebroid function and,secondly,to study the relation between the characteristic functions of two algebroid functions when they share less shared values and extend the four-valued theorem of meromorphic function.

关 键 词：代数体函数 唯一性 特征函数 分担值 

分 类 号：O174.52[理学—数学]