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A General Family of q-Hypergeometric Polynomials and Associated Generating Functions

A General Family of q-Hypergeometric Polynomials and Associated Generating Functions

In this paper, we introduce a general family of $q$-hypergeometric polynomials and investigate several $q$-series identities such as an extended generating function and a Srivastava-Agarwal type bilinear generating function for this family of $q$-hypergeometric polynomials. We give a transformational identity involving generating functions for the generalized $q$-hypergeometric polynomials which we …