Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:software
|
| gptkbp:alsoKnownAs |
gptkb:Euler_integral_of_the_first_kind
|
| gptkbp:category |
gptkb:integral
gptkb:software |
| gptkbp:definedIn |
B(x, y) = ∫₀¹ t^{x-1} (1-t)^{y-1} dt
|
| gptkbp:domain |
x > 0, y > 0
|
| gptkbp:generalizes |
binomial coefficients
|
| gptkbp:hasApplication |
gptkb:probability_theory
calculus complex analysis combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Beta function
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:relatedTo |
gptkb:Gamma_function
gptkb:Beta_distribution |
| gptkbp:satisfies |
B(x, y) = B(y, x)
B(x, y) = Γ(x)Γ(y)/Γ(x+y) |
| gptkbp:usedIn |
gptkb:mathematics
physics statistics |
| gptkbp:bfsParent |
gptkb:Gamma_function
gptkb:Beta_distribution gptkb:Pearson_Type_I gptkb:Special_functions_theory |
| gptkbp:bfsLayer |
6
|