Computes the complete elliptic integral of the second kind.

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 2.2.0.0 (2.2.0.0)

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

Double
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.