1) Just in one of the proposed cases, Fig. , we needed Lorentzian wings. And this is a case which is clearly asymmetric. In all the other plots, the asymptotic behavior is described by a q parameter lower than 2. The asymptotic Lorentzian term 𝑎 𝑥 2 ⁄ is replaced by 𝑎 [(𝑞 -1)𝑥 2 ] ⁄ 1 (𝑞-1) ⁄