A product formula for the continuous q-Jacobi polynomials
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.
scientific article; zbMATH DE number 3946637
scientific article