  Asymmetric Fano line profiles are frequently encountered, e.g., in the
photoionization spectra of atoms and ions. For the fitting of spectral line
profiles to experimental spectra the line profiles have to be convolved with
the experimental window function. The latter is often taken to be a Gaussian.
It is shown that the convolution can be represented by a rather simple analytic
expression involving the Faddeeva function for the evaluation of which
efficient and accurate numerical algorithms are available.
