A solution form of a class of higher-order rational difference equations

AbstractWe obtain in this paper the expressions of solutions of the following class of difference equationsxn+1=xn-2k+1±1±Πi=1kxn-2i+1,n=0,1,2,…with conditions posed on the initial values x−j, j=0, 1, 2,…,2k−1, where k∈{1,2,…}