Abstract
Let p and q be arbitrary positive numbers. It is shown that if , then all solutions to the difference equation
AMS 2000 Mathematics Subject Classification::
Acknowledgements
The author thanks M. Kulenović for helpful discussions and for suggesting the change of variables (Equation1) which established a direct connection of the main difference equation to Lyness' equation, and J. Montgomery for suggesting a simplification of the proof. Also thanks to G. Bastien and M. Rogalski, who read a preliminary version and suggested improvements, and to two anonymous referees for their careful reading of the paper and for their valuable suggestions.