On a hypergeometric identity of Gelfand, Graev and Retakh

Details On a hypergeometric identity of Gelfand, Graev and Retakh On a hypergeometric identity of Gelfand, Graev and Retakh

2003-03-05

arxiv.org/abs/math/0303061v2

J. Comput. Math. Appl. 160 (2003), 147-158.

Mathematics

Classical Analysis and ODEs

considerably revised and extended; more $q$-analogues are derived; in particular, a new section has been added with $q$-analog

Scientific paper

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.

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