  While the values for the fractional charge and fractional statistics coincide
for fractional Hall (FQH) states in the Laughlin sequence, they do not for more
general FQH states, such as those in the Jain sequence. This mismatch leads to
additional phase factors in the weak coupling expansion for tunneling between
edge states which alter the nature of the strong tunneling limit. We show here
how to construct a weak-strong coupling duality for generalized FQH states with
simple unreconstructed edges. The correct dualization of quasiparticles into
integer charged fermions is a consistency requirement for a theory of FQH edge
states with a simple edge. We show that this duality also applies for weakly
reconstructed edges.
