SpecialFunctionsBeta Method

The beta function, beta(a, b) = Gamma(a) * Gamma(b) / Gamma(a+b). If either a or b = 0, -1, -2, ... then Double.NaN is returned.

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

Syntax

public static double Beta(
	double a,
	double b
)

Public Shared Function Beta ( 
	a As Double,
	b As Double
) As Double

public:
static double Beta(
	double a, 
	double b
)

static member Beta : 
        a : float * 
        b : float -> float

Double
The beta integral.

Remarks

The beta function is related to the gamma function as follows:

B(a,b) = ( Gamma(a) * Gamma(b) ) / Gamma(a + b)

Sometimes the beta function is refered to as the Eulerian integral of the first kind.