Abstract
We study H\(\alpha\), far- and near-ultraviolet luminosity functions (LF) of the sample of 795 luminous compact star-forming galaxies with \(z<0.65\). The parameters of optimal functions for LFs are obtained using the maximum likelihood method and the accuracy of fitting is estimated with the \(\chi^{2}\) method. We find that these LFs cannot be reproduced by the Schechter function because of an excess of very luminous galaxies. On the other hand, the Saunders function, the log-normal distribution and some new related functions are good approximations of LFs. The fact that LFs are not reproduced by the Schechter function can be explained by the propagating star formation. This may result in an excess of luminous starbursts with the mass of a young stellar population above \(2 \times 10^{8}~\mbox{M}_{\odot}\) as compared to the LF of the quiescent galaxies. The most luminous compact galaxies are characterised by H\(\alpha\) luminosities of \(\ge 5\times 10^{42}~\mbox{erg}\,\mbox{s}^{-1}\) and star formation rates of \(\ge 40~\mbox{M}_{\odot}\,\mbox{yr}^{-1}\).
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Acknowledgements
We are grateful to an anonymous referee for his/her valuable comments. Funding for the Sloan Digital Sky Survey (SDSS) and SDSS-II has been provided by the Alfred P. Sloan Foundation, the Participating Institutions, the National Science Foundation, the U.S. Department of Energy, the National Aeronautics and Space Administration, the Japanese Monbukagakusho, and the Max Planck Society, and the Higher Education Funding Council for England.
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Parnovsky, S.L., Izotova, I.Y. Luminosity function of luminous compact star-forming galaxies. Astrophys Space Sci 361, 111 (2016). https://doi.org/10.1007/s10509-016-2697-0
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DOI: https://doi.org/10.1007/s10509-016-2697-0