[en] In deep-inelastic processes the heavy flavor Wilson coefficients factorize for Q²>>m² into the light flavor Wilson coefficients of the corresponding process and the massive operator matrix elements (OMEs). We calculate the O(α_s²) and O(α_s³) massive OME for the flavor non-singlet transversity distribution. At O(α_s²) the OME is obtained for general values of the Mellin variable N, while at O(α_s³) the moments N=1 to 13 are computed. The terms ∝ T_F of the 3.loop transversity anomalous dimension are obtained and results in the literature are confirmed. We discuss the relation of these contributions to the Soffer bound for transversity. (orig.)