涉及q-差分微分多项式的亚纯函数的唯一性

Uniqueness Results Concerning Differential Polynomials and q-Difference Polynomials of Meromorphic Functions

本文研究亚纯函数及其q-差分算子或差分算子的1类非线性多项式的导函数分担1个非零公共值的亚纯函数的唯一性问题,这些问题涉及2009年方明亮提出的1个涉及微分多项式的亚纯函数的唯一性问题。本文结果推广了方明亮等人的有关结果。

In this paper,we study the uniqueness questions for the derivatives of certain nonlinear polynomials of meromorphic functions and their q-shifts or q-difference operators sharing a finite nonzero value,the questions are related to a question concerning differential polynomials of meromorphic functions which was posed by M.L.Fang in 2009.The results in this paper extend the corresponding results given by M.L.Fang and others.