UNIQUENESS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF DIFFERENCE EQUATIONS

In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions f(z) and g(z) of the following complex difference equation A(1) (z) f (z + 1) + A(0) (z) f (z) = F (z)e(alpha(z)) when they share 0, infinity CM, where A(1) (z), A(0) (z), F(z) are non-zero polynomials, alpha (z) is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.