Beta integral

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Euler_integral_of_the_first_kind
gptkbp:application special functions
evaluation of definite integrals
computation of probabilities
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 Beta integral
gptkbp:integralLimits 0 to 1
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:Beta_function
gptkb:Gamma_function
gptkbp:usedIn gptkb:probability_theory
calculus
mathematical analysis
statistics
gptkbp:bfsParent gptkb:Selberg_integral
gptkbp:bfsLayer 6