How to generate all possible rational Wilf-Zeilberger pairs?

02/27/2018

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by   Shaoshi Chen, et al.

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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). We present a structural description of all possible rational Wilf--Zeilberger pairs and their continuous and mixed analogues.