The global attractivity of the rational difference equation yn=A+(yn-k/yn-m)p

This paper studies the behavior of positive solutions of the recursive equation y(n) = A + (y(n)-k/y(n)-m)(p) , n = 0,1,2,..., with y(-s), y(-s)+1,..., y(-1) is an element of (0,infinity) and k, m is an element of {1, 2, 3, 4,...}, where s = max{k, m}. We prove that if gcd( k, m) = 1, and p <= min{1, (A + 1)/2}, then y(n) tends to A + 1. This complements several results in the recent literature, including the main result in K. S. Berenhaut, J. D. Foley and S. Stevic, The global attractivity of the rational difference equation y(n) = 1 + y(n)-k/y(n)-m.