Incomplete elliptic integral of the third kind
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:integral
|
| gptkbp:definedIn |
gptkb:integral
|
| gptkbp:dependsOn |
amplitude φ
modulus m parameter n |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:form |
Π(n; φ | m) = ∫₀^φ [1/(1 - n sin²θ)] (dθ/√(1 - m sin²θ))
|
| gptkbp:generalizes |
incomplete elliptic integral of the first kind
incomplete elliptic integral of the second kind |
| https://www.w3.org/2000/01/rdf-schema#label |
Incomplete elliptic integral of the third kind
|
| gptkbp:relatedTo |
complete elliptic integral of the third kind
|
| gptkbp:symbol |
Π(n; φ | m)
|
| gptkbp:usedIn |
engineering
mathematical analysis physics |
| gptkbp:bfsParent |
gptkb:Elliptic_Integrals
|
| gptkbp:bfsLayer |
8
|