Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:expressedIn |
multiple integral over the unit interval
|
| gptkbp:field |
gptkb:mathematics
analysis integral calculus special functions |
| gptkbp:form |
∫₀¹⋯∫₀¹ ∏_{1≤i<j≤n} |x_i - x_j|^{2γ} ∏_{i=1}^n x_i^{α-1} (1-x_i)^{β-1} dx_i = ... (closed form involving Gamma functions)
|
| gptkbp:generalizes |
gptkb:Beta_integral
|
| https://www.w3.org/2000/01/rdf-schema#label |
Selberg integral
|
| gptkbp:introducedIn |
1944
|
| gptkbp:namedAfter |
gptkb:Atle_Selberg
|
| gptkbp:notableFor |
closed form solution
|
| gptkbp:usedIn |
representation theory
combinatorics random matrix theory orthogonal polynomials |
| gptkbp:bfsParent |
gptkb:Atle_Selberg
gptkb:Dyson_conjecture |
| gptkbp:bfsLayer |
5
|