关于亚纯函数微分多项式的值分布  

The value distribution of differential polynomials on meromorphic function

作　　者：刘孝书[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《海军工程大学学报》2006年第6期18-20,共3页Journal of Naval University of Engineering

基　　金：河南省自然科学基金资助项目(0211050200)

摘　　要：运用Nevanlinna的亚纯函数理论方法,研究了亚纯函数微分多项式的值的分布理论,获得了若f(z)是超越亚纯函数,ψ是关于f的微分多项式,满足条件N(r,f)+N(r,1/f)=S(r,f),关于ψ零点的几个结果,改进并推广了Yang C C和仪洪勋等人的有关结果.The value distribution of differential polynomials on meromorphic function was studied by using Nevanlinna＇s theory on meromorphic function. Some results of zeros of differential polynomials were obtained. Let f（z） be a meromorphic function, φ be a differential polynomial in f with N（r,f）＋N（r,1/f）=S（r,f）. Some theorems of Yang C C and Hong-xun Yi are improved and introduced.

关 键 词：亚纯函数 微分多项式 值分布 

分 类 号：O174.52[理学—数学]