Meta.Numerics Library

Meta.Numerics

Meta.Numerics.Functions

AdvancedMath Class

AdvancedMath Methods

Hypergeometric2F1 Method

LeftRegularizedBeta Method

LeftRegularizedGamma Method

LogBeta Method

LogGamma Method

ModifiedBessel Method

ModifiedBesselI Method

ModifiedBesselK Method

RightRegularizedGamma Method

ScaledModifiedBesselI Method

ScaledModifiedBesselK Method

SphericalBesselJ Method

SphericalBesselY Method

SphericalHarmonic Method

AdvancedMathLambertW Method

Computes the Lambert W function.

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

C++

Copy

public static double LambertW(
	double x
)

Public Shared Function LambertW ( 
	x As Double
) As Double

public:
static double LambertW(
	double x
)

static member LambertW : 
        x : float -> float

Parameters

x: Type: SystemDouble
The argument, which must be greater than or equal to -1/e.

Return Value

Type: Double
The value W(x).

Exceptions

Exception	Condition
ArgumentOutOfRangeException	x is less than -1/e.

Remarks

The Lambert W function solves the transcendental equation W e^W = x. The function appears in a number of contexts, including the solution of differential equations and the enumeration of trees.

Reference

AdvancedMath Class

Meta.Numerics.Functions Namespace

Other Resources

http://en.wikipedia.org/wiki/Lambert_W_function

https://mathworld.wolfram.com/LambertW-Function.html

https://dlmf.nist.gov/4.13

AdvancedMathAddLanguageSpecificTextSet("LST8C13A625_0?cpp=::|nu=.");LambertW Method

Parameters

Return Value

Reference

Other Resources

AdvancedMathLambertW Method