hess_exp_conv_gau

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

Compute hessian 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:

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

Note

• 1st column: d^2f/dt^2

• 2nd column: d^2f/dtd(fwhm)

• 3rd column: d^2f/dtdk

• 4th column: d^2f/d(fwhm)^2

• 5th column: d^2f/d(fwhm)dk

• 6th column: d^2f/dk^2