On the fragmentation functions of heavy quarks into hadrons

An explicit form for the charmed quark fragmentation function Dsub(c)sup(C)(z) into hadrons has been obtained with the help of the 'reciprocity relation' and the c-quark distribution function in charmed mesons (the function calculated in terms of the Kuti-Weisskopf model). Dsub(c)sup(C)(z) turns out to peak mainly at z close to 1. The analysis of new data on muon pair production in neutrino reactions points to such a behaviour of the Dsub(c)sup(C)(z) function. The obtained fragmentation function, contrary to those, used earlier, leads to a charmed particle (average) multiplicity in e+e--annihilation independent of energy. (Auth.)