Soft-gluon Resummation in the Evolution of Fragmentation Functions

We review recent progress in the development of an approach valid to any order which unifies the fixed-order DGLAP evolution of fragmentation functions at large x with soft-gluon logarithmic resummation at small x. At leading order, this approach, implemented with the Double Logarithmic Approximation, reproduces exactly the Modified Leading Logarithm Approximation, but it is more complete due to the degrees of freedom given to the quark sector and the inclusion of the fixed-order terms. We find that data from the largest x values to the peak region can be better fitted than with other approaches.