摘要
In this paper,we mainly investigate the value distribution of meromorphic functions in Cmwith its partial differential and uniqueness problem on meromorphic functions in Cmand with its k-th total derivative sharing small functions.As an application of the value distribution result,we study the defect relation of a nonconstant solution to the partial differential equation.In particular,we give a connection between the Picard type theorem of Milliox-Hayman and the characterization of entire solutions of a partial differential equation.
作者
刘曼莉
高凌云
房少梅
Manli LIU;Lingyun GAO;Shaomei FANG(Department of Mathematics,South China Agricultural University,Guangzhou 510642,China;Department of Mathematics,Jinan University,Guangzhou 510632,China)
基金
partially supported by the NSFC(11271227,11271161)
the PCSIRT(IRT1264)
the Fundamental Research Funds of Shandong University(2017JC019)。
