代数体函数及其线性微分多项式的唯一性

Uniqueness for Algebroid Function and its Linear Differential Polynomial

利用现有的亚纯函数和代数体函数的相关结论,研究代数体函数的分担值与分支点之间的关系,得到一个代数体函数与其线性微分多项式具有公共值的唯一性定理,将关于亚纯函数与其线性微分多项式的一个唯一性定理推广到代数体函数。

By using the existing meromorphic functions and the related conclusions about algebroid functions,the relationship between the shared value of algebroid functions and the branch points was studied.The uniqueness theorem as regards an algebroid function and its linear differential polynomial with common values was presented.So,the uniqueness theorem for meromorphic functions and its linear differential polynomial was extended to algebroid functions.