Gaia Collaboration, Prusti, T., de Bruijne, J.H.J., Brown, A.G.A., Vallenari, A., Babusiaux, C., Bailer-Jones, C.A.L., Bastian, U., Biermann, M., Evans, D.W., et al. (2016) The Gaia Mission. A&A, 595, A1.

has been cited by the following article:

• TITLE: Standard and Truncated Luminosity Functions for Stars in the Gaia Era

  AUTHORS: Lorenzo Zaninetti

  KEYWORDS: Fundamental Parameters Stars, Luminosity Function, Mass Function

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.7 No.4, December 6, 2017

  ABSTRACT: The luminosity function (LF) for stars is here fitted by a Schechter function and by a Gamma probability density function. The dependence of the number of stars on the distance, both in the low and high luminosity regions, requires the inclusion of a lower and upper boundary in the Schechter and Gamma LFs. Three astrophysical applications for stars are provided: deduction of the parameters at low distances, behavior of the average absolute magnitude with distance, and the location of the photometric maximum as a function of the selected flux. The use of the truncated LFs allows modeling the Malmquist bias.