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Generalized q-Difference Equations for q-Hypergeometric Polynomials with Double q-Binomial Coefficients

Generalized q-Difference Equations for q-Hypergeometric Polynomials with Double q-Binomial Coefficients

In this paper, we apply a general family of basic (or q-) polynomials with double q-binomial coefficients as well as some homogeneous q-operators in order to construct several q-difference equations involving seven variables. We derive the Rogers type and the extended Rogers type formulas as well as the Srivastava-Agarwal-type bilinear …