  We describe a new approach to heavy-quark fragmentation which is based on a
resummed perturbative calculation and parametrization of power corrections,
concentrating on the z -> 1 limit, where the heavy meson carries a large
fraction of the momentum of the initial quark. It is shown that the leading
power corrections in this region are controlled by the scale m(1-z). Renormalon
analysis is then used to extend the perturbative treatment of soft and
collinear radiation to the non-perturbative regime. Theoretical predictions are
confronted with data on B-meson production in e+e- annihilation.
