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Integral Transforms and Special Functions Volume 26, 2015 - Issue 5
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Original Articles

Several BBP-type formulas for π

Chuanan WeiDepartment of Mathematics, Shanghai Normal University, Shanghai200234, China;Department of Information Technology, Hainan Medical College, Haikou571199, ChinaCorrespondence[email protected]
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Pages 315-324 | Received 11 Nov 2014, Accepted 08 Dec 2014, Published online: 29 Jan 2015

References

  • Bailey DH, Borwein JM. Experimental mathematics: examples, methods and implications. Notices Amer Math Soc. 2005;52:502–514.
  • Adamchik V, Wagon S. π: A 2000-year search changes direction. Math Educ Res. 1996;5:11–19.
  • Chan HC. Machin-type formulas expressing π in terms of φ. Fibonacci Quart. 2008/09;46/47:32–37.
  • Adamchik V, Wagon S. A simple formula for π. Amer Math Monthly. 1997;104:852–855. doi: 10.2307/2975292
  • Bailey DH. A compendium of BBP-type formulas for mathematical constants. Available from: http://crd-legacy.lbl.gov/dhbailey/dhbpapers/bbp-formulas.pdf.
  • Bailey DH, Borwein JM, Borwein PB, Plouffe S. The quest for π. Math Intelligencer. 1997;19:50–57. doi: 10.1007/BF03024340
  • Bailey DH, Borwein P, Plouffe S. On the rapid computation of various polylogarithmic constants. Math Comput. 1997;66:903–914. doi: 10.1090/S0025-5718-97-00856-9
  • Chan HC. More formulas for π. Amer Math Monthly. 2006;113:452–455. doi: 10.2307/27641953
  • Ferguson HRP, Bailey DH, Arno S. Analysis of PSLQ, an integer relation finding algorithm. Math Comput. 1999;68:351–370. doi: 10.1090/S0025-5718-99-00995-3
  • Gourévitch B, Guillera J. Construction of binomial sums for π and polylogarithmic constants inspired by BBP formulas. Appl Math E-Notes. 2007;7:237–246.
  • Guillera J. History of the formulas and algorithms for π (Spanish). Gac R Soc Mat Esp. 2007;10:159–178.
  • Zhang W. New formulae of BBP-type with different moduli. J Math Anal Appl. 2013;398:46–60. doi: 10.1016/j.jmaa.2012.08.007

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