亚纯开拓

基金项目:

国家自然科学基金资助项目

详细信息

meromorphic extension

摘要: 首次定义并研究了代数体函数的亚纯开拓.为此, 先将解析函数的唯一性定理推广到亚纯函数.然后证明了一些亚纯开拓的基础定理,最后用它证明了新的唯一性定理.
- 亚纯函数 /
- 代数体函数 /
- 唯一性定理 /
- 亚纯开拓
Abstract: The meromorphic continuation of algebraic functions is defined and investigated.The uniqueness theorem of meromorphic functions is first extented to algebroid functions,and then some foundational theorems about meromorphic continuation are proved.
- meromorphic function /
- algebroid function /
- uniqueness theorem /
- meromorphic continuation