Exact solutions for the spatial de Vaucouleurs and Sérsic laws and related quantities
LAM Traverse du Siphon, BP 8, 13376 Marseille Cedex 12, France
2 INPE/DAS CP 515, S. J. Dos Campos SP 12201-970, Brazil e-mail: firstname.lastname@example.org
Corresponding author: A. Mazure, email@example.com
Accepted: 23 November 2001
Using the Mathematica package, we find exact analytical expressions for the so-called de-projected de Vaucouleurs and Sérsic 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.
Key words: galaxies: elliptical and lenticular, cD / galaxies: fundamental parameters / galaxies: clusters: general
© ESO, 2002