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Unresolved binaries and the stellar luminosity function

The influence of photometrically unresolved binaries on the luminosity function is studied. Assuming that the local luminosity function (LF) reflects a distribution of unresolved binaries under different assumptions on the properties of a set of unresolved binaries, the coresponding luminosity functions of their components is constructed. It is found that the effect depends on the distribution of the component mass ratio q, and differs for different portions of the LF. For brighter stars (M V < 6 m) the effect is small. Around the LF maximum (M V 13 m) it is strongest in the case when both components are of similar mass. The most prominent difference was found in the region of the faintest stars (M V 20 m ), where the effect is strongest if low-q systems are frequent