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math.CA2003
An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series
Christian Krattenthaler, Tanguy Rivoal
We give a new proof of a theorem of Zudilin that equates a very-well-poised hypergeometric series and a particular multiple integral. This integral generalizes integrals of Vasilen…
math.CA2003
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…
math.CA2003
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 …