强一般型代数体函数分担小函数的唯一性  

The uniqueness of the strong general type algebroid functions concerning small 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,广东珠海519085

出　　处：《纯粹数学与应用数学》2022年第2期276-284,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(11871108,11571362)。

摘　　要：代数体函数的唯一性理论是值分布论中的重要研究课题.由于代数体函数的多值性,代数体函数的唯一性的研究成果没有亚纯函数那么丰富.亚纯函数分担小函数的唯一性问题已经被彻底解决,代数体函数分担小函数的唯一性问题还值得深入研究.研究了强一般型代数体函数分担小函数的唯一性问题,得到几个唯一性定理,所得结果将亚纯函数分担小函数唯一性定理推广到强一般型代数体函数.The uniqueness of algebroid functions is an important subject in the value distribution theory. But for multiple valued algebroid function, the uniqueness achievements of algebroid functions are fewer than those of meromorphic functions. The uniqueness of meromorphic functions sharing small functions has been completely solved, the uniqueness of algebroid functions sharing small functions is worthy of further study. In this paper, we investigate the uniqueness of the strong general type algebroid functions concerning small meromorphic functions. We get several uniqueness theorems, these results extend some uniqueness theorems of meromorphic functions concerning small meromorphic functions to the strong general type algebroid functions.

关 键 词：代数体函数 唯一性 小函数 

分 类 号：O174.52[理学—数学]