Abstract
A projection formula for the q-Wilson polynomials $p_n (x;a,b,c,d)$ is obtained which is then used to construct a reproducing kernel. Using Askey and Wilson’s q-analogue of the beta integral an integral representation is obtained for a very well-poised ${}_8 \phi _7 $ as a q-analogue of Euler’s integral formula for a ${}_2 F_1 $. As an application of these results a generating function is obtained for the continuous q-Jacobi polynomials introduced by Askey and Wilson.
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