Generalizations of generating functions for basic hypergeometric   orthogonal polynomials
  We derive generalized generating functions for basic hypergeometric orthogonal polynomials by applying connection relations with one free parameter to them. In particular, we generalize generating functions for the Askey-Wilson, continuous $q$-ultraspherical/Rogers, little $q$-Laguerre/Wall, and $q$-Laguerre polynomials. Depending on what type of orthogonality these polynomials satisfy, we derive corresponding definite integrals, infinite series, bilateral infinite series, and $q$-integrals. 
Howard S. Cohl, Roberto S. Costas-Santos, Philbert R. Hwang and Tanay   Wakhare
math.CA