关于亚纯函数微分多项式的值分布

The value distribution of differential polynomials on meromorphic function

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.