A statistical distribution function and spectral energy density are derived for the q-analogue of a black body radiation. These functions are different from the usual ones for q ≠ 1 and they have singularities. The reason for these singularities is also discussed. In particular, the realization of the quantum algebra SU q (2) in terms of the q-analoque of the quantum harmonic oscillator A q-deformation of the Heisenberg algebra generated by a q-creation operator αt , q-annihilation operator α q , identity operator and a q-number operator Nq in the q-analoque of the Hilbert space 'H q with the q-boson vacuum |0) q defined as α q |0) q = 0. The algebraic relations for the operation αq , αt and Nq ar
