Black-body radiation in Tsallis statistics

Some results for the black-body radiation obtained in the context of the q-thermostatistics are analyzed on both thermodynamical and statistical-mechanical levels. Since the thermodynamic potentials can be expressed in terms of Wright's special function a useful asymptotic expansion can be obtained. This expansion allows to consider thermodynamic properties away from the Boltzmann-Gibbs limit q = 1. The role of non-extensivity, q < 1, on the possible deviation from the Stefan-Boltzmann T4 behavior is considered. The application of some approximation schemes widely used in the literature to analyze the cosmic radiation is discussed. (author)