Generalized blackbody distribution within the dilute gas approximation

We consider the application of Tsallis’ generalized statistical mechanics to systems of quantum particles (fermions or bosons). An approach due to Büyükkiliç et al. to find analytic formulae for quantum distribution functions and its application to generalized blackbody radiation is discussed. Generalized blackbody laws (Stefan–Boltzmann law, Rayleigh–Jeans law and Wien empirical distribution law) are proposed.