微分多项式分担1个公共值的亚纯函数的唯一性

Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value

本文证明了非常数的亚纯函数的一类非线性微分多项式及其同次幂分担1的一个唯一性定理,该结果改进了张继龙和杨连中的相应结果。

In this paper, we prove a uniqueness theorem of meromorphic functions whose some nonlinear differential polynomials share 1 IM with powers of the meromorphic functions, where the degrees of the powers are equal to those of the nonlinear differential polynomials. This result improves the eorresponding one given by Zhang J L and Vang L Z, and other authors.