AdvancedMathCarlsonF Method

Computes the Carslon elliptic integral RF.

Definition

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public static double CarlsonF(
	double x,
	double y,
	double z
)

Parameters

x  Double
The first parameter, which must be non-negative.
y  Double
The second parameter, which must be non-negative.
z  Double
The third parameter, which must be non-negative.

Return Value

Double
The value of RF(x,y,z).

Remarks

The Carlson F integral is:

As can be seen from the definition, RF is symmetric with respect to permutations among its parameters.

The Carlson integrals can be used to express integrals of rational functions. In that sense, they are replacements for the Legendre elliptic functions.

Exceptions

ArgumentOutOfRangeExceptionx, y, or z is negative.

See Also