2004
DOI: 10.1016/j.aim.2003.07.012
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Domb's numbers and Ramanujan–Sato type series for 1/π

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Cited by 109 publications
(77 citation statements)
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“…Chan, Chan and Liu obtained a similar formula for 1/π in [8], we have recovered their result in equation (3.10). Zudilin and Yang have also discovered similar formulas for 1/π [16].…”
Section: Introductionsupporting
confidence: 67%
“…Chan, Chan and Liu obtained a similar formula for 1/π in [8], we have recovered their result in equation (3.10). Zudilin and Yang have also discovered similar formulas for 1/π [16].…”
Section: Introductionsupporting
confidence: 67%
“…The general machinery for proving Ramanujan-like series for 1/π [2,4,18] produces, in several cases, divergent instances such as…”
Section: "Divergent" Ramanujan-type Seriesmentioning
confidence: 99%
“…D. V. Chudnovsky and G. V. Chudnovsky [28] independently proved several of Ramanujan's series representations for 1/π and established new ones as well. Further particular series representations for 1/π as well as some general formulas have subsequently been derived by Berndt and H. H. Chan [10], Berndt, Chan, and W.-C. Liaw [11], H. H. Chan, S. H. Chan, and Z. Liu [20], H. H. Chan and Liaw [21], H. H. Chan and K. P. Loo [23], H. H. Chan, Liaw, and V. Tan [22], and H. H. Chan and H. Verrill [24]. J. Guillera [29]- [33] discovered some beautiful series for 1/π as well as for 1/π 2 .…”
Section: Introductionmentioning
confidence: 99%