deriv_exp_conv_cauchy

TRXASprefitpack.mathfun.deriv_exp_conv_cauchy(t: Union[float, ndarray], fwhm: float, k: float) → Union[float, ndarray]

Compute derivative of the convolution of exponential function and normalized cauchy distribution

Parameters

• t – time

• fwhm – full width at half maximum of cauchy distribution

• k – rate constant (inverse of life time)

Returns

Derivative of convolution of normalized cauchy distribution and exponential decay \((\exp(-kt))\).

Note

• 1st column: df/dt

• 2nd column: df/d(fwhm)

• 3rd column: df/dk