Value Distribution of Products of Meromorphic Functions and Their Differences

Abstract

In this paper, we study zeros of difference product $f(z)^n \Delta f(z)$ ($n \geq 2$), and the value distribution of difference product $f(z) \Delta f(z)$, where $f(z)$ is a transcendental entire function of finite order, $\Delta f(z) = f(z+c)-f(z)$, where $c$ ($\not= 0$) is a constant such that $f(z+c) \not\equiv f(z)$.