Abstract
A Christoffel-Darboux formula and a Brafman type generating function are given for the q-Racah (or hypergeometric 4 Φ 3) polynomials which were introduced recently by R. Askey and J. Wilson. The former result is then applied to deduce a q-extension of a class of finite summation formulas involving generalized double hypergeometric functions, which were considered earlier by H. M. Srivastava. Finally, a bilinear generating function is proved for the q-Konhauser polynomials Z n (α)(x, k¦q) which, for k = 1, reduce immediately to the familar q-extension of the classical Laguerre polynomials.
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