Sfun.LogGamma Method

Returns the logarithm of the Gamma function of the absolute value of a double.

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

Syntax

public static double LogGamma(
	double x
)

Public Shared Function LogGamma ( 
	x As Double
) As Double

public:
static double LogGamma(
	double x
)

static member LogGamma : 
        x : float -> float

Parameters

x: Type: System.Double
A double value.

Return Value

Type: Double
A double value specifying the natural logarithm of the Gamma function of

. If x is a negative integer, the result is NaN.

Remarks

Method LogGamma computes ${\rm ln} \left| {\Gamma (x)} \right|$ . See Gamma for the definition of $\Gamma(x)$ .

The Gamma function is not defined for integers less than or equal to zero. Also, $\left| x \right|$ must not be so large that the result overflows. Neither should x be so close to a negative integer that the accuracy is worse than half precision.

$Plot of LogGamma(x)$

Reference

Sfun Class

Imsl.Math Namespace

Other Resources

Example