  Charged particles ($h^\pm$) and \kz mesons have been studied in photoproduced
events containing at least one jet of $E_T > 8$ GeV in a pseudorapidity
interval (--0.5, 0.5) in the ZEUS laboratory frame. Distributions are presented
in terms of transverse momentum, pseudorapidity and distance of the particle
from the axis of a jet. The properties of \hpm within the jet are described
well using the standard settings of PYTHIA, but the use of the multiparton
interaction option improves the description outside the jets. A reasonable
overall description of the \kz behaviour is possible with PYTHIA using a
reduced value of the strangeness suppression parameter. The numbers of $h^\pm$
and \kz within a jet as defined above are measured to be $3.25\pm0.02\pm0.28$
and $0.431\pm0.013\pm0.088$ respectively. Fragmentation functions are presented
for $h^\pm$ and \kz in photoproduced jets; agreement is found with calculations
of Binnewies et al. and, at higher momenta, with $p\bar p$ scattering and with
standard PYTHIA. Fragmentation functions in direct photoproduced events are
extracted, and at higher momenta give good agreement with data from related
processes in $e^+e^-$ annihilation and deep inelastic $ep$ scattering.
