A product formula for the continuous q-Jacobi polynomials (Q1073991)

The Jacobi polynomials are one of the most general sets of the classical orthogonal polynomials. Several basic analogues of these polynomials have been discussed, in particular by \textit{R. Askey} and \textit{J. Wilson} [Mem. Am. Math. Soc. 319, 55 p. (1985; Zbl 0572.33012)]. The q-Wilson polynomials are a generalization of the q-Jacobi polynomials, for which \textit{G. Gasper} and \textit{M. Rahman} have given a product formula [SIAM J. Math. Anal. (to appear)]. By suitably specializing the parameters of this product formula and the use of various transformations of q- hypergeometric seris and integrals, a number of results relating to q- Jacobi polynomials are obtained.