  A novel method to extract the QCD coupling alpha_s from the energy evolution
of the moments of the parton-to-hadron fragmentation functions at low
fractional hadron momentum z, is presented. The evolution of the moments
(multiplicity, peak, width, skewness) of the charged-hadron distribution in
jets is computed at NMLLA+NLO* accuracy and compared to the experimental
deep-inelastic e-p data. Values of the strong coupling constant at the Z pole
are obtained, alpha_s(m_Z) = 0.119 +/- 0.010, in excellent numerical agreement
with the current world average determined using other methods at the same level
of accuracy.
