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KohlrauschRe1 Method

Real part of the Fourier transformed derivative of the Kohlrausch function for high frequencies.

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
Copy
public static double Re1(
	double beta,
	double z
)

Parameters

beta  Double
Beta parameter.
z  Double
Circular frequency.

Return Value

Double
Real 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 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