Computes the complete elliptic integral of the second kind.

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 2.1.0.0 (2.1.0.0)

Syntax

            
 C#  Visual Basic  Visual C++  F# 
public 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
Double
The elliptic modulus, which must lie between zero and one.

Return Value

The value of the Legendre integral E(k).

Remarks

E(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