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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.