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StableDistributionFellerPDFSeriesSmallXFeller Method

Imaginary part of the Fourier transformed derivative of the Kohlrausch function for low frequencies.

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)
Syntax
C#
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public static double PDFSeriesSmallXFeller(
	double z,
	double alpha,
	double gamma,
	double aga
)

Parameters

z  Double
Circular frequency.
alpha  Double
Distribution parameter alpha.
gamma  Double
Distribution parameter gamma.
aga  Double
Alternative gamma parameter to improve precision.

Return Value

Double
Imaginary part of the Fourier transformed derivative of the Kohlrausch function for high 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