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The main purpose of this paper is to present some properties of the meromorphic solutions of complex difference equation of the form  Open image in new window , where  Open image in new window  and  Open image in new window  are two finite index sets,  Open image in new window  are distinct, nonzero complex numbers,  Open image in new window  and  Open image in new window  are small functions relative to  Open image in new window  is a rational function in  Open image in new window  with coefficients which are small functions of  Open image in new window . We also consider related complex functional equations in the paper.

Further Extending Results of Some Classes of Complex Difference and Functional Equations