For top quark decays into heavy quark mesons (B) over bar(c) and Y, a
complete calculation to the leading order both in QCD coupling consta
nt alpha(s) and in v, the typical velocity of the heavy quarks inside
the mesons, is performed. Relations between the top quark mass and the
decay branching ratios are studied. A comparison with the results whi
ch are obtained by using the quark fragmentation functions is also dis
cussed. The branching ratios are approximately consistent with that ob
tained using fragmentation functions for large top quark masses, say,
m(1)> 150 GeV, and are identical with them in the limit m(1)--> infini
ty.