Selected recent HERMES results on parton distribution and fragmentation functions

The HERMES experiment has studied for more than a decade deep-inelastic scattering of electrons/positrons from longitudinally and transversely polarised and also unpolarised atomic gas targets internal to the electron storage ring of HERA. The collected semi-inclusive data allowed to extract informations about various quark distribution and fragmentation functions. Examples presented in this contribution are: a novel determination of the unpolarised strange-quark (plus anti-quark) distribution; the measurement of single-spin azimuthal asymmetries for pions and kaons from a transversely polarised hydrogen target that are related to the quark transversity distribution in conjunction with the spin-dependent Collins fragmentation function and also to the Sivers distribution function; and the measurement of azimuthal hadron asymmetries in unpolarised deep-inelastic scattering related to the so-called Cahn effect and the Boer-Mulders distribution function.