DiLog Method (x)

Computes the dilogarathm function, also called Spence's function.

Declaration Syntax

Visual Basic

Visual C++

public static double DiLog(
	double x
)

Public Shared Function DiLog ( _
	x As Double _
) As Double

public:
static double DiLog(
	double x
)

static member DiLog : 
        x:float -> float

Parameters

x (Double): The argument, which must be less than or equal to unity.

Return Value

The value Li₂(x).

Remarks

The dilogarithm can be defined by an infinite sum.

The function gets is name from the similiarity of this series to the expansion of ln(1-x), the difference being that the integer in the denominator is raised to the second power.

Li₂(x) is real for -∞ < x ≤ 1; for values outside this range, use the complex version DiLog(Complex).