In 2023, we proposed for Raman spectroscopy a generalization of the Lorentzian profile as a q-Gaussian line shape. The q-Gaussian is a function based on the Tsallis q-form of the exponential function . This generalized exponential is characterized by a q-parameter and when q is equal to 2, we have the Lorentzian function. If q is close to 1, we have a Gaussian function (this is the reason why the Tsallis function is also called "q-Gaussian"; here, it would be better to consider it as a q-Lorentzian). For values of q between 1 and 2, we have a bell-shaped function with power-law wings ranging from Gaussian to Lorentzian tails. As shown on many occasions, the q-Gaussian is suitable for fitting Raman spectra (from those given in SSRN to the SERS cases, and others). However, we can use the q-exponential to also generalize the split-Lorentzian function (see Appendix), and to turn the Breit-Wigner-Fano into a q-BWF function. Let us write the BWF as follow: