亚纯函数权分担集合的唯一性Uniqueness of Meromorphic Functions Weighted Sharing Sets
吴爱迪;林伟川;
摘要(Abstract):
利用权分担概念对亚纯函数具有两个分担集合唯一性问题进行研究,证明了存在一个具有5个元素的集合S和集合{0,1},使得对任何两个非常数亚纯函数f与g,只要f与g权分担S和CM分担集合{0,1},则f与g恒等.
关键词(KeyWords): 亚纯函数;分担集合;唯一性
基金项目(Foundation): 福建省自然科学基金资助项目(2011J01006);; 教育部留学回国人员科研启动基金资助项目(教外司留[2008]890号);; 国家自然科学基金资助项目(11271227)
作者(Authors): 吴爱迪;林伟川;
参考文献(References):
- [1]仪洪勋,杨重骏.亚纯函数唯一性理论[M].北京:科学出版社,1995.
- [2]Gross F.Factorization of meromorphic functions and some problems[M].Berlin:Spinger-Verlag,1977:51-69.
- [3]Yi H X.On a question of Gross concerning uniqueness of entire functions[J].Bull Austral Math Soc,1998,57:343-349.
- [4]Li P,Yang C C.Some further results on the unique range set of meromorphic functions[J].Kodai Math,1995,18:437-450.
- [5]Yi H X.Unicity theorems for meromorphic or entire functionsⅡ[J].Bull Austral Math,1995,52:215-224.
- [6]Fang M L,Guo H.On meromorphic functions sharing two value[J].Analysis,1997,17:355-366.
- [7]Yi H X.Meromorphic functions that share two sets[J].Acta Mathematica Sinica,2002,45(5):75-82.
- [8]Yi H X.Uniqueness of meromorphic functions and a question of Gross[J].Science in China,1994,24(5):457-466.
- [9]易斌,李玉华.CM分担两个公共值集的亚纯函数唯一性[J].数学学报,2012,55(2):363-368.