Well-poised hypergeometric transformations of Euler-type multiple integrals

Title: Well-poised hypergeometric transformations of Euler-type multiple integrals
Creator: Zudilin, W.
Relation: Journal of London Mathematical Society Vol. 70, Issue 1, p. 215-230
Publisher Link: http://dx.doi.org/10.1112/S0024610704005472
Publisher: Oxford University Press
Resource Type: journal article
Date: 2004
Description: Several new multiple-integral representations are proved for well-poised hypergeometric series and integrals. The results yield, in particular, transformations of the multiple integrals that cannot be achieved by evident changes of variable. All this generalizes some classical results of Whipple and Bailey in analysis and, on the other hand, certain analytic constructions with known connection to irrationality proofs for values of Riemann's zeta function at positive integers.
Subject: hypergeometric series; multiple integrals; analytic; Riemann's zeta function
Identifier: http://hdl.handle.net/1959.13/803679
Identifier: uon:6473
Identifier: ISSN:0024-6107
Rights: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of London Mathematical Society following peer review. The definitive publisher-authenticated version is available online at: http://dx.doi.org/10.1112/S0024610704005472
Language: eng
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