WELL-POISED HYPERGEOMETRIC TRANSFORMATIONS OF EULER-TYPE MULTIPLE INTEGRALS

DOI10.1112/S0024610704005472zbMath1065.11054OpenAlexW2116670425MaRDI QIDQ4819174

Wadim Zudilin

Publication date: 24 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610704005472

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Irrationality; linear independence over a field (11J72)

Related Items (6)

Séries hypergéométriques multiples et polyzêtas ⋮ On multiple integrals represented as a linear form in \(1, \zeta (3), \zeta (5),\ldots, \zeta (2k - 1)\) ⋮ Quadratic transformations and Guillera's formulas for \(1/\pi^2\) ⋮ Well-poised generation of Apéry-like recursions ⋮ Hypergeometric rational approximations to ζ(4) ⋮ Extensions of the classical theorems for very well-poised hypergeometric functions

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