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In this paper, we consider the existence of entire solutions of certain type of non-linear difference equation of the form: f(z) n  + p(z)f(z + c) m  = q(z). We also consider value distribution problems of difference polynomials of entire functions such as f(z) n (f(z)−1)f(z +c) for n = 1, which is a supplement of previous results.

On Properties of Entire Solutions of Difference Equations and Difference Polynomials