  We present the results of a calculation of the perturbative QCD corrections
for the semileptonic inclusive width of a heavy flavored meson. Within the
Heavy Quark Expansion we analytically compute the QCD correction to the
coefficient of power suppressed contribution of the chromo-magnetic operator in
the limit of vanishing mass of the final state quark. The important
phenomenological applications are decays of bottom mesons, and to the less
extend, charmed mesons.
