SpecialFunctionsEllipticE(Double, Double) Method

The incomplete elliptic integral of the second kind.

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

public static double EllipticE(
	double phi,
	double m
)

Public Shared Function EllipticE ( 
	phi As Double,
	m As Double
) As Double

public:
static double EllipticE(
	double phi, 
	double m
)

static member EllipticE : 
        phi : float * 
        m : float -> float

Double
The integral from 0 to phi of sqrt( 1 - m sin(t)*sin(t) ) dt

Exceptions

Exception	Condition
ArgumentOutOfRangeException	Parameter m must be between 0 and 1, inclusive.

Remarks

Some implementations of the incomplete elliptic integral of the first kind use the elliptical modulus, k, instead of m, where m = k * k.