涉及重值的代数体函数的唯一性

基金项目:

国家自然科学基金

详细信息

Uniqueness of Algebroid Functions with Multiple Values

摘要: 利用代数体函数的Nevanlinna值分布理论, 研究了代数体函数的唯一性问题.运用代数体函数的加法运算，将关于重值的亚纯函数的唯一性定理的2个结果推广到多值的代数体函数,从而丰富了代数体函数的唯一性理论.
- 公共值
Abstract: Algebroid functions is a kind of multiple valued analytic function, meromorphic function is a special case of algebroid functions, How to extend some important properties of meromorphic functions to algebroid functions is one of the most important research topics. By using Nevanlinna value distribution theory of algebroid functions, the uniqueness problems of algebroid functions are studied. Using the addition of algebroid functions, two uniqueness theorems with multiple values are extended from meromorphic functions to algebroid functions.So the uniqueness theorem of algebroid functions is extended.
- shared value