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28 March 2024
 
  » arxiv » math.CA/0303061

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On a hypergeometric identity of Gelfand, Graev and Retakh
Christian Krattenthaler ; Hjalmar Rosengren ;
Date 5 Mar 2003
Journal J. Comput. Math. Appl. 160 (2003), 147-158.
Subject Classical Analysis and ODEs MSC-class: 33C70 (Primary) 33C20 33D70 (Secondary) | math.CA
AffiliationUniversité Claude Bernard Lyon-I) and Hjalmar Rosengren (Chalmers University of Technology and Göteborg University
AbstractA 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.
Source arXiv, math.CA/0303061
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