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How can we escape Thomae's relations?
Christian Krattenthaler, Tanguy Rivoal
In 1879, Thomae discussed the relations between two generic hypergeometric -series with argument 1. It is well-known since then that there are 120 such relations (including…
On a hypergeometric identity of Gelfand, Graev and Retakh
Christian Krattenthaler, Hjalmar Rosengren
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 different…
An Entry of Ramanujan on Hypergeometric Series in his Notebooks
K. Srinivasa Rao, G. Vanden Berghe, Christian Krattenthaler
Example 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is proved and, more generally, a summation theorem for , where …
Proof of a summation formula for an basic hypergeometric series conjectured by Warnaar
Christian Krattenthaler
A proof of an unusual summation formula for a basic hypergeometric series associated to the affine root system that was conjectured by Warnaar is given. It makes use o…