Incomplete elliptic integral of the second kind
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:integral
|
| gptkbp:alsoKnownAs |
E(φ, k)
|
| gptkbp:application |
calculation of arc length of an ellipse
|
| gptkbp:definedIn |
E(φ, k) = ∫₀^φ sqrt(1 - k^2 sin^2 θ) dθ
|
| gptkbp:field |
gptkb:mathematics
analysis |
| gptkbp:hasSpecialCase |
complete elliptic integral of the second kind
|
| https://www.w3.org/2000/01/rdf-schema#label |
Incomplete elliptic integral of the second kind
|
| gptkbp:namedAfter |
gptkb:Adrien-Marie_Legendre
|
| gptkbp:parameter |
amplitude φ
modulus k |
| gptkbp:relatedTo |
gptkb:Legendre_form
Jacobi elliptic functions |
| gptkbp:bfsParent |
gptkb:Elliptic_Integrals
|
| gptkbp:bfsLayer |
8
|