Holonomic alchemy and series for $1/\pi$

Authors :: Cooper, Shaun
Wan, James G.
Zudilin, Wadim
Source :: Analytic Number Theory, Modular Forms and q-Hypergeometric Series (G.E. Andrews and F. Garvan, eds.), Springer Proceedings in Mathematics and Statistics 221 (Springer, 2018), pp. 179--205
Publication Year :: 2015
Abstract: We adopt the "translation" as well as other techniques to express several identities conjectured by Z.-W. Sun in arXiv:1102.5649v47 by means of known formulas for $1/\pi$ involving Domb and other Ap\'ery-like sequences.<br />Comment: 23 pages

Subjects :: Mathematics - Number Theory
Mathematics - Classical Analysis and ODEs
11Y60, 33C20 (Primary), 11B65, 11F11, 11Y55, 65B10 (Secondary)

Database :: arXiv
Journal :: Analytic Number Theory, Modular Forms and q-Hypergeometric Series (G.E. Andrews and F. Garvan, eds.), Springer Proceedings in Mathematics and Statistics 221 (Springer, 2018), pp. 179--205
Publication Type :: Report
Accession number :: edsarx.1512.04608
Document Type :: Working Paper
Full Text :: https://doi.org/10.1007/978-3-319-68376-8_12