Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:symmetry
|
| gptkbp:author |
Henry Jack
|
| gptkbp:basisFor |
symmetric functions over Q(alpha)
|
| gptkbp:field |
gptkb:mathematics
representation theory algebraic combinatorics symmetric function theory |
| gptkbp:generalizes |
gptkb:Schur_polynomials
gptkb:Hermite_polynomials zonal polynomials |
| gptkbp:hasSpecialCase |
Hermite polynomials (alpha=1/2)
Schur polynomials (alpha=1) zonal polynomials (alpha=2) |
| https://www.w3.org/2000/01/rdf-schema#label |
Jack polynomials
|
| gptkbp:introducedIn |
1969
|
| gptkbp:namedAfter |
Henry Jack
|
| gptkbp:orthogonalWithRespectTo |
Jack inner product
|
| gptkbp:parameter |
alpha
|
| gptkbp:relatedTo |
gptkb:Laguerre_polynomials
gptkb:Macdonald_polynomials gptkb:Hall–Littlewood_polynomials |
| gptkbp:usedIn |
random matrix theory
special functions quantum many-body systems |
| gptkbp:bfsParent |
gptkb:Schur_functions
gptkb:Macdonald_polynomials |
| gptkbp:bfsLayer |
7
|