We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials p n(x; a, b, c | q), which has surfaced in a recent work of the present authors on the construction of lifting q-difference operators in the Askey scheme of basic hypergeometric polynomials. We show that the resulting generating function identity for the continuous dual q-Hahn polynomials p n(x; a, b, c | q) can be explicitly stated in terms of Jackson’s q-exponential functions eq(z).