On a hypergeometric identity of Gelfand, Graev and Retakh

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摘要

A hypergeometric identity equating a triple sum to a single sum, originally found by Gelfand, et al. (Russian Math. Surveys 47 (1992)) by using systems of differential equations, is given hypergeometric proofs. As a bonus, several q-analogues can be derived.

论文关键词:primary 33C70,secondary 33C20,33D70,Multiple hypergeometric series,Basic hypergeometric series,Chu–Vandermonde summation Pfaff–Saalschütz summation,Ramanujan's 1ψ1 summation

论文评审过程:Received 15 December 2002, Revised 7 April 2003, Available online 17 September 2003.

论文官网地址:https://doi.org/10.1016/S0377-0427(03)00620-4