Sfun.Beta Method

SfunBeta Method

Returns the value of the Beta function.

Namespace: Imsl.Math
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

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

Type: Double
A double value specifying the Beta function.

Remarks

The Beta function is defined to be

$\beta (a,b) = {{\Gamma (a)\Gamma (b)} \over {\Gamma (a + b)}} = \int_0^1 {t^{a - 1} } (1 - t)^{b - 1} dt$

See Gamma for the definition of $\Gamma \left( x \right)$ .

The method Beta requires that both arguments be positive.