Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 53, p. 45-48 (2016)

Luminous compact galaxies: approximations of luminosity functions by log–normal distribution and Sanders function

S. Parnovsky, Dr. Sci,
I. Izotova, Ph. D.
Astronomical observatory of Taras Shevchenko National University of Kyiv

Abstract
For the sample of about 800 compact starburst galaxies the luminosity functions are considered based on the data of luminosities of galaxies in the ultraviolet  continuum and the recombination  Нα emission line in the regions of ionised hydrogen. The luminosity functions of galaxies are described by Saunders function and log-normal distribution. We find the luminosity function parameters for both distributions and show that log-normal distribution provides a good fitting of  luminosity functions of galaxy sample. The  confidence probability that luminosity function is described by log-nornal distribution is about 27 % accordingly to Fisher criterion. It is better than that described by Schechter function.

Keywords
Compact galaxies

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