Common origin of cubic binomial identities: A generalization of Surányi's proof on Le Jen Shoo's formula (Q1063030)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Common origin of cubic binomial identities: A generalization of Surányi's proof on Le Jen Shoo's formula |
scientific article; zbMATH DE number 3914326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common origin of cubic binomial identities: A generalization of Surányi's proof on Le Jen Shoo's formula |
scientific article; zbMATH DE number 3914326 |
Statements
Common origin of cubic binomial identities: A generalization of Surányi's proof on Le Jen Shoo's formula (English)
0 references
1985
0 references
The following theorem is proved: Let a,b,c,d,e be natural numbers. Then \[ \binom {a+c+d+e}{a+c}\binom {b+c+d+e}{c+e} = \sum_{k} \binom {a+b+c+d+e-k}{a+b+c+d}\binom {a+d}{k+d}\binom {b+c}{k+c}. \]
0 references
