Value Distribution of Certain Type of Difference Polynomials

Abstract

We investigate the value distribution of difference product f(z)n∑i=1k‍aif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1k‍aif(z+ci)≢0.