Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials

We first show how one can obtain Al-Salam–Chihara polynomials, continuous dual $q$-Hahn polynomials, and Askey–Wilson polynomials from the little $q$-Laguerre and the little $q$-Jacobi polynomials by using special transformations. This procedure is then extended to obtain multiple Askey–Wilson, multiple continuous dual $q$-Hahn, and multiple Al-Salam–Chihara polynomials from the multiple little $q$-Laguerre and the multiple little $q$-Jacobi polynomials.