Growth and zeros of meromorphic solution of some linear difference equations

In this paper, we study growth and zeros of linear difference equations P(n)(z)f(z + n) + ... + P(1)(z)f(z + 1) + P(0)(z)f(z) = F(z) where F(z), P(n)(z) ..... P(0)(z) are polynomials with FP(n) p(0) not equivalent to 0 and satisfy deg(P(n) + ... + P(o)) = max{deg p(j): j = 0, ..., n} >= 1. The corresponding homogeneous equation of the above equation is also investigated. (c) 2010 Elsevier Inc. All rights reserved.