%0 Journal Article
%T Standard and Truncated Luminosity Functions for Stars in the Gaia Era
%A Lorenzo Zaninetti
%J International Journal of Astronomy and Astrophysics
%P 255-272
%@ 2161-4725
%D 2017
%I Scientific Research Publishing
%R 10.4236/ijaa.2017.74022
%X 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.
%K Fundamental Parameters Stars
%K Luminosity Function
%K Mass Function
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=80880