Transmutation kernels for the little q-Jacobi function transform

The little q-Jacobi function transform depends on three parameters. An explicit expression as a sum of two very well-poised W-8(7)-series is derived for the dual transmutation 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)phi(2)-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 generalize the intertwining operators arising from a Darboux factorization.