  The dispersive approach to QCD is applied to the study of the inclusive tau
lepton hadronic decay. This approach provides the unified integral
representations for the hadronic vacuum polarization function, related R
function, and Adler function. These representations account for the
intrinsically nonperturbative constraints, which originate in the kinematic
restrictions on the functions on hand, and retain the effects due to
hadronization, which play a valuable role in the analysis of the strong
interaction processes at low energies. The dispersive approach proves to be
capable of describing recently updated ALEPH and OPAL experimental data on
inclusive tau lepton hadronic decay in vector and axial-vector channels. The
vicinity of values of the QCD scale parameter obtained in both channels
testifies to the potential ability of the developed approach to describe the
aforementioned data in a self-consistent way.
