摘要
以Nevanlinna第二基本定理的一种推广形式为基本工具,对涉及慢增长函数的亚纯函数唯一性问题进行了研究,改进了R.Nevanlinna、仪洪勋及杨力等人的几个唯一性定理.结果表明,亚纯函数可由其与几个慢增长函数同值的、重级不超过3的点所唯一确定.
The uniqueness of meromorphic functions involving smll functions is discussed with Nevanlinna's second fundamental theorem, and Nevaminna R et al's some theorems were improved. The result shows the meromorphic function can be uniquely determined by some points of the order 3 in circumstance of no degenerating into constant.
关键词
亚纯函数
慢增长函数
唯一性定理
meromorphic functions, small functions, uniqueness theorem