摘要
用Nevanlinna理论对涉及重值时的亚纯函数唯一性问题进行了讨论,并得出了一系列唯一性定理,其中有些定理是对Nevanlinna R,仪洪勋,杨力,Ozawa M等人的几个定理的推广。这些定理的一个简单推论表明,在不蜕化为常数的情况下,亚纯函数可由其若干个值的重级不超过3的值点唯一确定。从而,使亚纯函数值分布的研究有可能简单化,即仅考虑重级不超过3的值点就夠了。
The uniqueness problems of meromorphic functions involving multiple values have been discussed with Nevanlinna theory and a series of unicity theorems have been derived in the this paper. Some parts of the theroems are the extensions of Nevanlinna, Yi, Yang, Ozawa and some other's theorems. A corollary of the theorems shows that the meromorphic functions can be uniquely determined by some value points of the order within 3 in the circumstance of no degenerating into constant. Thus, it is possible to simplify the study of value distribution in meromorphic functions, i. e, the points of order within 3 will be enough for the problems discussed.
出处
《西安工业学院学报》
1992年第1期31-41,共11页
Journal of Xi'an Institute of Technology
关键词
特征函数
重值
亏量
半纯函数
meromorphic functions
characteristic functions
multiple values
defective number.
