代数体函数与其导数的唯一性

On the Uniqueness of Algebroid Functions and Their Derivatives

通过研究代数体函数的分担值和分支点之间的关系,得到一个关于代数体函数与其导数具有公共值的唯一性定理,将Gundersen和Mues-Steinmetz关于亚纯函数与其导数的一个唯一性定理推广到代数体函数.

In this paper, from considering the relationship between the shared values and the branch points of algebroid functions, we obtain some uniqueness theorem of algebroid functions sharing values with their derivatives, which extend some shared value theorem of meromorphic functions and their derivatives obtained bv Gundersen and Mues-Steinmetz.