亚纯函数差分多项式的值分布

The Zeros of Difference Polynomials of Meromorphic Functions

主要研究了差分多项式(fn(f(z)-1)m∏dj=1f(z+cj)vj)(k)的值分布,这里cj(j=1,2,…,d)是不同的复数,n,m,d,vj(j=1,2,…,d)是正整数。得到了两个定理,推广和改进了前人的一些结果。

The value distribution of difference polynomials of meromorphic functions （f^n（f（z）-1）^mПj=1^df（z＋cj）^vj）^（k） were investigated, where cj（j = 1,2,… ,d） are distinct finite complex numbers, n, m, d, vj（j = 1,2,… ,d） are integers. Some theorems were obtained which extends and improves many previous resuhs.