What is the interest in studying the fragmentation functions Dq-h(z,s) of quarks into hadrons in the processes e+e-→h+X at LEP energies?

In the present paper, physical arguments are given in favour of measuring the fragmentation functions Dq-h(z,s) in the process e+e-→h+X(h-π, K, p is an identified hadron, X stands for all others) at LEP energies. It is shown that due to the QCD prediction of strong scaling violation in the region of time-like momentum transfers q (q2>0, the channel of the lepton-antilepton annihilation into the hadrons, q2=S), that is essentially more strong than the analogous effect in the space-like region (q2<0, the deep-inelastic lepton-hadron scattering channel, - q2=Q2>0), the study of these fragmentation functions is of great interest. The measurement of the forward-backward asymmetry for hadrons produced in the reaction e+e-→h+X will make it possible to determine the W3(z,s) structure function that contains the contribution of the neutral quark currents leading to the parity-violation effects. 35 refs.; 8 figs.; 1 tab