Some combinatorial identities associated with the Vandermonde convolution
Date
2009-08-27T16:50:02Z
Authors
Gould, H. W.
Srivastava, H.M.
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Abstract
The 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.
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Keywords
combinatorial identities, Vandermonde convolution, Gamma function, hypergeometric function, Gauss summation theorem, q-extension, q-Gamma function, q-binomial coefficient, q-combinatorial identity, Heine summation theorem, bilateral series, Dougall's theorem