AdvancedMath.CarlsonF Method |
Computes the Carslon elliptic integral RF.
Namespace:
Meta.Numerics.Functions
Assembly:
Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
Syntaxpublic static double CarlsonF(
double x,
double y,
double z
)
Public Shared Function CarlsonF (
x As Double,
y As Double,
z As Double
) As Double
public:
static double CarlsonF(
double x,
double y,
double z
)
static member CarlsonF :
x : float *
y : float *
z : float -> float
Parameters
- x
- Type: System.Double
The first parameter, which must be non-negative. - y
- Type: System.Double
The second parameter, which must be non-negative. - z
- Type: System.Double
The third parameter, which must be non-negative.
Return Value
Type:
DoubleThe value of R
F(x,y,z).
Exceptions
RemarksThe Carlson F integral is:
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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.
See Also