On a hypergeometric identity of Gelfand, Graev and Retakh

[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. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-11-01

[效力级别]  Proceedings Paper

[关键词] multiple hypergeometric series;basic hypergeometric series;Chu-Vandermonde summation Pfaff-Saalschutz summation;Ramanujan's vertical bar psi vertical bar summation