Meta.Numerics Library
Faddeeva Method (z)
Meta.NumericsMeta.Numerics.FunctionsAdvancedComplexMathFaddeeva(Complex)
Computes the complex Faddeeva function.
Declaration Syntax
C#Visual BasicVisual C++F#
public static Complex Faddeeva(
	Complex z
)
Public Shared Function Faddeeva ( _
	z As Complex _
) As Complex
public:
static Complex Faddeeva(
	Complex z
)
static member Faddeeva : 
        z:Complex -> Complex 
Parameters
z (Complex)
The complex argument.
Return Value
The complex value of w(z).
Remarks

The Faddeeva function w(z) is related to the error function with a complex argument.

It also has an integral representation.

For purely imaginary values, it can be reduced to the error function. For purely real values, it can be reduced to Dawson's integral.

It appears in the computation of the Voigt line profile function V(x;σ,γ).

See Also