On Growth of Meromorphic Solutions for Linear Difference Equations

We mainly study growth of linear difference equations P-n(z)f(z + n) + ... + P-1(z)f(z + 1) + P-0(z)f(z) = 0 and P-n(z)f(z + n) + ... + P-1(z)f(z + 1) + P-0(z)f(z) = f(z), where F(z), P-0(z), ... , P-n(z) are polynomials such that F(z)P-0(z)P-n(z) not equivalent to 0 and give the most weak condition to guarantee that orders of all transcendental meromorphic solutions of the above equations are greater than or equal to 1.