On the Luminosity Function of Early--Type Galaxies

Details On the Luminosity Function of Early--Type Galaxies On the Luminosity Function of Early--Type Galaxies

1994-03-29

arxiv.org/abs/astro-ph/9403063v1

Mon.Not.Roy.Astron.Soc. 269 (1994) 953

Astronomy and Astrophysics

Astrophysics

accepted for publication on MNRAS, Standard TeX, for tables and figures contact zucca@astbo1.bo.cnr.it BAP 03-1994-04-IRA

Scientific paper

In a recent paper Loveday et al. (1992) have presented new results on the luminosity function for a sample of galaxies with $b_J \le 17.15$. After having morphologically classified each galaxy (early--type, late--type, merged or uncertain), they have estimated the parameters of a Schechter luminosity function for early-- and late--type galaxies. However, in their sample there is a bias against identifying early--type galaxies at large distances and/or faint magnitudes: in fact, many of the early--type galaxies at faint magnitudes have probably been classified as ``uncertain". As discussed in Loveday et al., the existence of such a bias is indicated by the fact that for these galaxies $=0.32$. In this paper we show, both theoretically and through the use of simulated samples, that this incompleteness strongly biases the derived parameters of the luminosity function for early--type galaxies. If no correction for such incompleteness is applied to the data (as done by Loveday et al.), one obtains a flatter slope $\alpha$ and a brighter $M^*$ with respect to the real parameters.

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