StableDistributionFellerPDFSeriesSmallXFeller Method |
Imaginary part of the Fourier transformed derivative of the Kohlrausch function for low frequencies.
Namespace: Altaxo.Calc.ProbabilityAssembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax public static double PDFSeriesSmallXFeller(
double z,
double alpha,
double gamma,
double aga
)
Parameters
- z Double
- Circular frequency.
- alpha Double
- Beta parameter.
- gamma Double
[Missing <param name="gamma"/> documentation for "M:Altaxo.Calc.Probability.StableDistributionFeller.PDFSeriesSmallXFeller(System.Double,System.Double,System.Double,System.Double)"]
- aga Double
[Missing <param name="aga"/> documentation for "M:Altaxo.Calc.Probability.StableDistributionFeller.PDFSeriesSmallXFeller(System.Double,System.Double,System.Double,System.Double)"]
Return Value
DoubleImaginary 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