代数体函数的性质

摘要

本文研究了亚纯函数的几个性质推广到多值的代数体函数.利用代数体函数的循环加,循环乘运算及特征的性质,证明了代数体函数的级与下级的几个性质,并研究了两个代数体函数的公共a值点的度量,且得到代数体函数的两个唯一性定理.%In this paper, we generalize several properties of meromorphic functions to multi-valued algebroid functions. By using cyclic sum and cyclic product of algebroid functions and the properties of characteristic function, some properties of order and lower order of algebroid functions are proved. We study measurement of common a-points of two algebroid functions, by which we obtain two uniqueness theorems of algebroid functions.