AdvancedMathCarlsonG Method |
Computes the Carlson integral RG.
Namespace:
Meta.Numerics.Functions
Assembly:
Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
Syntax public static double CarlsonG(
double x,
double y,
double z
)
Public Shared Function CarlsonG (
x As Double,
y As Double,
z As Double
) As Double
public:
static double CarlsonG(
double x,
double y,
double z
)
static member CarlsonG :
x : float *
y : float *
z : float -> float
Parameters
- x
- Type: SystemDouble
The first argument, which must be non-negative. - y
- Type: SystemDouble
The second argument, which must be non-negative. - z
- Type: SystemDouble
The third argument, which must be non-negative.
Return Value
Type:
DoubleThe value of R
G(x, y, z).
Exceptions Remarks The Carlson G integral is:
As can be seen from the definition, it is symmetric with respect to interchanges of any of its arguments.
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