Exact solutions for the spatial de Vaucouleurs and Sérsic laws and related quantities

Using the Mathematica package, we find exact analytical expressions for the so-called de-projected de Vaucouleurs and Sersic laws as well as for related spatial (3D) quantities – such the mass, gravitational potential, the total energy and the central velocity dispersion – generally involved in astronomical calculations expressed in terms of the Meijer G functions.