AdvancedMathEllipticE Method (Double) |
Computes the complete elliptic integral of the second kind.
Namespace:
Meta.Numerics.Functions
Assembly:
Meta.Numerics (in Meta.Numerics.dll) Version: 4.0.5.0 (4.0.5.0)
Syntaxpublic static double EllipticE(
double k
)
Public Shared Function EllipticE (
k As Double
) As Double
public:
static double EllipticE(
double k
)
static member EllipticE :
k : float -> float
Parameters
- k
- Type: SystemDouble
The elliptic modulus, which must lie between zero and one.
Return Value
Type:
DoubleThe value of the Legendre integral E(k).
Exceptions
RemarksE(k) is defined as the complete elliptic integral:

It appears in the Legendre reduction of integrals of rational funtions.
The perimeter of an ellipse with major axis a and eccentricity e is 4 a E(e).
Be aware that some authors use the the parameter m = k2 instead of the modulus k.
See Also