For the structure functions of the quark propagator, the asymptotic be
havior is obtained for general, linear, covariant gauges, and in all d
irections of the complex k(2)-plane. Asymptotic freedom is assumed. Co
rresponding previous results for the gauge field propagator are import
ant in the derivation. Except for coefficients, the leading asymptotic
terms are determined by one-loop or by two-loop information, and are
gauge independent. Various sum rules are derived.