AdvancedMathEllipticE(Double) Method

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

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.

Reference

Other Resources