  While the classification of univariate power series up to coordinate change
is trivial in characteristic 0, this classification is very different in
positive characteristic. In this note we give a complete classification of
univariate power series $f\in K[[x]]$, where $K$ is an algebraically closed
field of characteristic $p>0$ by explicit normal forms. We show that the right
determinacy of $f$ is completely determined by its support. Moreover we prove
that the right modality of $f$ is equal to the integer part of $\mu/p$, where
$\mu$ is the Milnor number of $f$. As a consequence we prove in this case that
the modality is equal to the proper modality, which is the dimension of the
$\mu$-constant stratum in an algebraic representative of the semiuniversal
deformation with trivial section.
