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Common origin of cubic binomial identities: A generalization of Surányi’s proof on Le Jen Shoo’s formula. (English) Zbl 0573.05005

The following theorem is proved: Let a,b,c,d,e be natural numbers. Then \[ \binom {a+c+d+e}{a+c}\binom {b+c+d+e}{c+e} = \sum_{k} \binom {a+b+c+d+e-k}{a+b+c+d}\binom {a+d}{k+d}\binom {b+c}{k+c}. \]
Reviewer: J.Cigler

MSC:

05A10 Factorials, binomial coefficients, combinatorial functions
05A19 Combinatorial identities, bijective combinatorics
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References:

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