Euler's integral of the second kind
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:gamma_function
|
| gptkbp:domain |
complex numbers with positive real part
|
| gptkbp:form |
Γ(z) = ∫₀^∞ t^{z-1} e^{-t} dt
|
| gptkbp:generalizes |
factorial function
|
| gptkbp:hasSpecialCase |
Γ(1) = 1
Γ(1/2) = √π |
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's integral of the second kind
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:relatedTo |
Euler's integral of the first kind
|
| gptkbp:usedIn |
gptkb:probability_theory
mathematical analysis statistics |
| gptkbp:valueAt |
Γ(n) = (n-1)! for positive integers n
|
| gptkbp:bfsParent |
gptkb:Gamma_function
|
| gptkbp:bfsLayer |
6
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