Zeros and uniqueness of Q-difference polynomials of meromorphic functions with zero order

Abstract

In this paper, we investigate the value distribution of q-difference polynomials of meromorphic function of finite logarithmic order, and study the zero distribution of difference-differential polynomials [fn(z)f(qz + c)](k) and [fn(z)(f(qz + c)−f(z))](k), where f(z) is a transcendental function of zero order. The uniqueness problem of difference-differential polynomials is also considered.