Orthogonality relations for Al-Salam-Carlitz polynomials of type II

By use of a special case of Slater's q-beta integral evaluation formula, we determine orthogonality relations for the Al-Salam-Carlitz polynomials of type II with respect to a family of measures supported on a discrete subset of R. From spectral analysis of the corresponding second-order q-difference operator we obtain an infinite set of functions that complement the Al-Salam-Carlitz II polynomials to an orthogonal basis of the associated L2-space.