Study of the growth properties of meromorphic solutions of higher-order linear difference equations

In this paper, we investigate the growth of meromorphic solutions of homogeneous and nonhomogeneous linear difference equations A(k) (z) f (z + c(k))+ ... + A(1)(z) f (z + c(1)) + A(0)(z) f (z) = 0, A(k) (z) f (z + c(k))+ ... + A(1)(z) f (z + c(1)) + A(0)(z) f (z) = F, where A(k) (z),..., A(0) (z), F (z) are meromorphic functions and c(j) (1,..., k) are non-zero distinct complex numbers. Under some conditions on the coefficients, we extend early results due to Zhou and Zheng, Belaidi and Benkarouba.