@InProceedings{chen2019wz, author="Chen, Shaoshi", editor="Fillion, Nicolas and Corless, Robert M. and Kotsireas, Ilias S.", title="How to Generate All Possible Rational Wilf-Zeilberger Pairs?", booktitle="Algorithms and Complexity in Mathematics, Epistemology, and Science", year="2019", publisher="Springer New York", address="New York, NY", pages="17--34", abstract="A Wilf--Zeilberger pair (F, G) in the discrete case satisfies the equation F(n+1,k)?F(n,k)=G(n,k+1)?G(n,k).{\$}{\$}{\backslash}displaystyle F(n+1, k) - F(n, k) = G(n, k+1) - G(n, k). {\$}{\$}We present a structural description of all possible rational Wilf--Zeilberger pairs and their continuous and mixed analogues.", isbn="978-1-4939-9051-1" }