Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
q-binomial formula
|
| gptkbp:expressedIn |
expansion of (a+b)_q^n
|
| gptkbp:field |
gptkb:mathematics
combinatorics q-series |
| gptkbp:form |
\\sum_{k=0}^n q^{k(k-1)/2} {n \\brack k}_q a^k b^{n-k} = (a+b)_q^n
|
| gptkbp:generalizes |
gptkb:binomial_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
q-binomial theorem
|
| gptkbp:involves |
gptkb:q-Pochhammer_symbol
q-binomial coefficients |
| gptkbp:relatedTo |
gptkb:Rogers–Ramanujan_identities
Gaussian polynomials |
| gptkbp:statedIn |
gptkb:Eduard_Heine
|
| gptkbp:usedIn |
partition theory
basic hypergeometric series |
| gptkbp:yearStated |
1847
|
| gptkbp:bfsParent |
gptkb:q-Pochhammer_symbol
gptkb:Q_series |
| gptkbp:bfsLayer |
6
|