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Székely Identity

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sum_(k=-infty)^infty(A+B+C+D+E-k; E-k)(A+D; k+D)(B+C; k+C)=(A+C+D+E; A+C)(B+C+D+E; C+E).

See also

Binomial Sums

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References

Koepf, W. "Hypergeometric Database." Ch. 3 in Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, pp. 35-36, 1998.Székely, L. A. "Common Origin of Cubic Binomial Identities; A Generalization of Surányi's Proof of the Le Jen Shoo's Formula." J. Combin. Th. Ser. A 40, 171-174, 1985.

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Székely Identity

Cite this as:

Weisstein, Eric W. "Székely Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SzekelyIdentity.html

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