Black-body radiation for twist-deformed space-time

In this article we formally investigate the impact of twisted space-time on black-body radiation phenomena, i.e. we derive the $\theta$-deformed Planck distribution function as well as we perform its numerical integration to the $\theta$-deformed total radiation energy. In such a way we indicate that the space-time noncommutativity very strongly damps the black-body radiation process. Besides we provide for small parameter $\theta$ the twisted counterparts of Rayleigh-Jeans and Wien distributions respectively.