AdvancedMathEllipticF Method

Computes the incomplete elliptic integral of the first kind.

Definition

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public static double EllipticF(
	double phi,
	double k
)

Parameters

phi  Double
The amplitude (in radians).
k  Double
The elliptic modulus, which must lie between zero and one.

Return Value

Double
The value of the Legendre integral F(k).

Remarks

Legendre's first incomplete elliptic integral is:

When the integral angle is π, this function reduces to the complete elliptic integral of the first kind (EllipticK(Double).

Be aware that some authors use the the parameter m = k2 instead of the modulus k.

See Also