Holonomic alchemy and series for $1/\pi$

Autor:	Cooper, Shaun, Wan, James G., Zudilin, Wadim
Rok vydání:	2015
Předmět:	Mathematics - Number Theory Mathematics - Classical Analysis and ODEs 11Y60 33C20 (Primary) 11B65 11F11 11Y55 65B10 (Secondary)
Zdroj:	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
Druh dokumentu:	Working Paper
DOI:	10.1007/978-3-319-68376-8_12
Popis:	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. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.04608 Zobrazit plný text záznamu View this record from Arxiv