KohlrauschRe2SmallBeta Method |
Real part of the Fourier transformed derivative of the Kohlrausch function for low frequencies, and beta<=1/20..
Namespace: Altaxo.CalcAssembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax public static double Re2SmallBeta(
double beta,
double z
)
Parameters
- beta Double
- Beta parameter.
- z Double
- Circular frequency, must be much lesser than one.
Return Value
DoubleReal 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 real part of the Fourier transform (in Mathematica notation): Re[Integrate[-D[Exp[-t^beta],t]*Exp[-I w t],{t, 0, Infinity}]]. For
beta smaller than one, the return value is always positive.
See Also