涉及权分担的亚纯函数的微分多项式Differential Polynomial of Meromorphic Functions with Weighted Shared-value
罗杰;林伟川;
摘要(Abstract)：
讨论了一类亚纯函数微分多项式和差分多项式具有权分担值的唯一性问题,所得定理推广了李效敏与仪洪勋等人的结论.
关键词(KeyWords)： 亚纯函数;权分担;微分多项式
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)
作者(Authors): 罗杰;林伟川;
参考文献(References)：
- [1]Yang C C,Yi H X.Uniqueness theory of meromorphic functions[M].Beijing:Science Press,2003.
- [2]Hayman W K.Picard values of meromorphic functions and their derivatives[J].Ann of Math,1959,70(1):9-42.
- [3]Hennekemper W.berdie werteverteilungvon(fk+1)(k)[J].Math Z,1981,177:375-380.
- [4]Hennekemper G,Hennekemper W.Picard ausnahmewerte von ableitungen gewisser meromorpher funktionen[J].Complex Variables,1985,5:87-93.
- [5]Wang Y F,Fang M L.Picard values and normal families of meromorphic functions with multiple zeros[J].Acta Math Sinica:New Series,1998,14(1):17-26.
- [6]Fang M L.Uniqueness and value-sharing of entire functions[J].Comput Math Appl,2002,44:823–831.
- [7]Li X M,Yi H X.Remarks on value sharing of certain differential polynomials of meromorphic functions[J].Bull Aust Math Soc,2014,90(3):427-443.
- [8]Li X M,Yi H X.Value sharing of certain differential polynomials and their shifts of meromorphic functions[J].Comput Methods Funct Theory,2014,14:63-84.
- [9]Yang L.Normality of family of meromorphic functions[J].Sci Sinica Ser A,1986,29:1263-1274.
- [10]Lahiri I,Sarkar A.Uniqueness of a meromorphic function and its derivative[J].J Inequal Pure Appl Math,2004,5(1):20.
- [11]Mokhonko A Z.On the nevanlinna characteristics of some meromorphic functions[J].Theory of Functions,Functional Analysis and their Applications,1971,14:83-87.
- [12]Zhang Q C.Meromorphic functions sharing three values[J].Indian J Pure Appl Math,1999,30:667-682.