Expansions in Askey-Wilson polynomials via Bailey transform

International audienceWe prove a general expansion formula in Askey-Wilson polynomials using Bailey transform and Bressoud inversion. As applications, we give new proofs and generalizations of some recent results of Ismail-Stanton and Liu. Moreover, we prove a new q-beta integral formula involving Askey-Wilson polynomials, which includes the Nassrallah-Rahman integral as a special case. We also give a bootstrapping proof of Ismail-Stanton's recent generating function of Askey-Wilson polynomials