Value Distribution of Certain Type of Difference Polynomials

Abstract EN

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