  Following from recent developments by Hubalek and Kyprianou, the objective of
this paper is to provide further methods for constructing new families of scale
functions for spectrally negative L\'evy processes which are completely
explicit. This is the result of an observation in the aforementioned paper
which permits feeding the theory of Bernstein functions directly into the
Wiener-Hopf factorization for spectrally negative L\'evy processes. Many new,
concrete examples of scale functions are offered although the methodology in
principle delivers still more explicit examples than those listed.
