For what is regarding the q-Gaussian function and its Fourier transform, we need to tell that the specific formulation of the transform is quite complex . However, we can find that the Fourier transform of the q-Gaussian contains the K functions (modified Bessel function of the second kind). Here, let us consider (1) in the following form, with dimensionless variable 𝑤 about 𝑤 𝑜 = 0: