  The little q-Jacobi function transform depends on three parameters. An
explicit expression as a sum of two very-well-poised 8W7-series is derived for
the dual transmutation kernel (a kind of non-symmetric Poisson kernel) relating
little q-Jacobi function transforms for different parameter sets. A product
formula for the dual transmutation kernel is obtained. For the inverse
transform the transmutation kernel is given as a 3\phi2-series, and a product
formula as a finite sum is derived. The transmutation kernel gives rise to
intertwining operators for the second order hypergeometric q-difference
operator, which generalise the intertwining operators arising from a Darboux
factorisation.
