The more precise determination of hadronic contribution to muonic (g-2) factor and to alpha(M²_z)

The hadronic vacuum-polarization contribution to the muon anomalous magnetic moment a_{mu}(hadr) and to the value of the eleectromagnetic coupling constant at q^2 = M^2_z are determined more precisely in connection with a new more exact value of the electronic width of rho-meson. The QCD model with infinite number of vector mesons is used. The more precisely determined results are: a_{mu}(hadr) = 678(7)*10^{-10}, \delta\alpha_{hadr}(M^2_z) = 0.02786(6).