deriv_exp_conv_gau

TRXASprefitpack.mathfun.deriv_exp_conv_gau(t: float | ndarray, fwhm: float, k: float) → ndarray

Compute derivative of exponential function convolved with normalized gaussian distribution

Parameters:

• t – time

• fwhm – full width at half maximum of gaussian distribution

• k – rate constant (inverse of life time)

Returns:

Derivative of Convolution of normalized gaussian distribution and exponential decay \((\exp(-kt))\).

Note

• 1st column: df/dt

• 2nd column: df/d(fwhm)

• 3rd column: df/dk