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KohlrauschIm2SmallBeta Method

Imaginary part of the Fourier transformed derivative of the Kohlrausch function for low frequencies, and beta<=1/20..

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
Copy
public static double Im2SmallBeta(
	double beta,
	double z
)

Parameters

beta  Double
Beta parameter.
z  Double
Circular frequency.

Return Value

Double
Imaginary part of the Fourier transformed derivative of the Kohlrausch function for low frequencies, or double.NaN if the series not converges.
Remarks
This is the imaginary part of the Fourier transform (in Mathematica notation): Im[Integrate[D[Exp[-t^beta],t]*Exp[-I w t],{t, 0, Infinity}]]. The sign of the return value here is positive!.
See Also