Euler integral of the first kind
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Beta_function
|
| gptkbp:category |
special functions
|
| gptkbp:definedIn |
B(x, y) = ∫₀¹ t^{x-1} (1-t)^{y-1} dt
|
| gptkbp:domain |
x > 0, y > 0
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler integral of the first kind
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:property |
B(x, y) = B(y, x)
B(x, y) = Γ(x)Γ(y)/Γ(x+y) |
| gptkbp:relatedTo |
gptkb:Gamma_function
|
| gptkbp:usedIn |
gptkb:probability_theory
calculus combinatorics |
| gptkbp:variant |
x
y |
| gptkbp:bfsParent |
gptkb:Beta_function
gptkb:Beta_integral |
| gptkbp:bfsLayer |
7
|