有穷级整函数的差分多项式的唯一性Uniqueness of Difference Polynomials of Entire Functions with Finite Order
林美容;林伟川;
摘要(Abstract):
利用弱权分担(a,k)和次弱权分担(a,k)*的思想,研究了整函数的差分多项式的唯一性问题.所得的结果推广和改进了已有的结果.
关键词(KeyWords): 整函数;有穷级;差分多项式;唯一性
基金项目(Foundation): 国家自然科学基金资助项目(11371225);; 福建省自然科学基金资助项目(2011J01006);; 福建省中青年教师教育科研项目(JB13030)
作者(Authors): 林美容;林伟川;
参考文献(References):
- [1]Hayman W K.Meromorphic functions[M].Oxford:Clarendon Press,1964.
- [2]Laine I.Nevanlinna theory and complex differential equations[M].Berlin:Walter de Gruyter,1993.
- [3]Yi H X,Yang C C.Uniqueness theory of meromorphic functions[M].Beijing:Science Press,2003.
- [4]Lin S H,Lin W C.Uniqueness of meromorphic functions concerning weakly weighted sharing[J].Kodai Math J,2006,29:269-280.
- [5]Banerjee A,Mokhejee S.Uniqueness of meromorphic functions concerning differential monomials sharing the same value[J].Bull Math Soc Sci Math Roum Tome,2007,50:191-206.
- [6]Zhang J L.Value distribution and shared sets of difference of meromorphic function[J].J Math Anal Appl,2010,367:401-408.
- [7]张春会.整函数及其差分多项式的唯一性问题[D].济南:山东大学,2010.
- [8]陈美茹,陈宗煊.有穷级整函数的差分多项式的性质[J].数学年刊,2012,33:359-374.
- [9]Luo X D,Lin W C.Value sharing results for shifts of meromorphic functions[J].J Math Anal Appl,2011,377:441-449.
- [10]Yi H X.Meromorphic functions that share one or two values[J].Complex Variables Theory Appl,1995,28:1-11.
- [11]Lin X Q,Lin W C.Uniqueness of entire functions sharing one value[J].Acta Math Sci,2011,31:1062-1076.