  We consider the quasihole wavefunctions of the non-abelian Read-Rezayi
quantum Hall states which are given by the conformal blocks of the minimal
model WA_{k-1}(k+1,k+2) of the WA_{k-1} algebra. By studying the degenerate
representations of this conformal field theories, we derive a second order
differential equation satisfied by a general many-quasihole wavefunction. We
find a duality between the differential equations fixing the electron and
quasihole wavefunctions. They both satisfy the Laplace-Beltrami equation. We
use this equation to obtain an analytic expression for the generic wavefunction
with one excess flux. These results also apply to the more general models
WA_{k-1}(k+1,k+r) corresponding to the recently introduced Jack states.
