  In this paper we adopt the pullback approach to global Finsler geometry. We
investigate horizontally recurrent Finsler connections. We prove that for each
scalar ($\pi$)1-form $A$, there exists a unique horizontally recurrent Finsler
connection whose $h$-recurrence form is $A$. This result generalizes the
existence and uniqueness theorem of Cartan connection. We then study some
properties of a special kind of horizontally recurrent Finsler connection,
which we call special HRF-connection.
