Gould, H. W.Srivastava, H.M.2009-08-272009-08-2719952009-08-27http://hdl.handle.net/1828/1648The authors first present a unification (and generalization) of some combinatorial identities associated with the familiar Vandermonde convolution. A basic (or q-) extension of this general combinatorial identity is then obtained. An interesting open problem, relevant to the discussion in this paper, is also presented.encombinatorial identitiesVandermonde convolutionGamma functionhypergeometric functionGauss summation theoremq-extensionq-Gamma functionq-binomial coefficientq-combinatorial identityHeine summation theorembilateral seriesDougall's theoremtechnical reports (mathematics and statistics)Some combinatorial identities associated with the Vandermonde convolutionTechnical ReportDepartment of Mathematics and Statistics