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Stanley's Identity

sum_(k=-infty)^infty(a; m-k)(b; n-k)(a+b+k; k)=(a+n; m)(b+m; n).

See also

Binomial Sums

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References

Koepf, W. Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p. 41, 1998.Strehl, V. "Binomial Identities--Combinatorial and Algorithmic Aspects." Discrete Math. 136, 309-346, 1994.

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Stanley's Identity

Cite this as:

Weisstein, Eric W. "Stanley's Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StanleysIdentity.html

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