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StableDistributionSymmetricPDFSeriesSmallXSmallAlpha Method

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

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
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public static double PDFSeriesSmallXSmallAlpha(
	double z,
	double alpha
)

Parameters

z  Double
Circular frequency.
alpha  Double
Alpha (broadness) parameter.

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