Imaginary part of the Fourier transformed derivative of the Kohlrausch function for high frequencies.
Namespace: Altaxo.CalcAssembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax public static double Im1(
double beta,
double z
)
Parameters
- beta Double
- Beta parameter.
- z Double
- Circular frequency.
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