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Comput. Math. Appl. 160 (2003), 147-158,
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Christian Krattenthaler and
On a hypergeometric identity of Gelfand, Graev and Retakh
A hypergeometric identity equating a triple sum to a single sum, originally
found by Gelfand, Graev and Retakh [Russian Math. Surveys
47 (1992), 1-88] by using systems of differential equations, is
given hypergeometric proofs. As a bonus, several q-analogues can be derived.
The following versions are available:
as well as the Mathematica Notebook
for the first proof in Section 2 of the article (click
here for a PDF version) and the
Mathematica Notebook for its q-analogue
in Section 3.
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