On a hypergeometric identity of Gelfand, Graev and Retakh

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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.
considerably revised and extended; more $q$-analogues are derived; in particular, a new section has been added with $q$-analogues which are not only valid formally but also analytically

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Classical Analysis and ODEs, 33C70 (Primary) 33C20 33D70 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66703

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303061
 http://arxiv.org/abs/math/0303061
 J. Comput. Math. Appl. 160 (2003), 147-158.

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arXiv