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Original Articles

Higher-Dimensional Box Integrals

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Pages 431-446 | Received 24 Jan 2010, Accepted 15 Mar 2010, Published online: 23 Feb 2011

REFERENCES

  • Anderssen , R. , Brent , R. , Daley , D. and Moran , P. 1976 . “Concerning ∫10…∫10 (x21 + · · · x2n) ½ dx1 · · · dxn and a Taylor Series Method.” . SIAM J. Applied Math , 30 : 22 – 30 . [Anderson et al. 76]
  • Bailey , D. H. , Borwein , J. M. and Crandall , R. E. 2006 . “Integrals of the Ising Class.”. . J. Phys. A. , 39 : 12271 – 12302 . Available online http://crd.lbl.gov/ãdhbailey/dhbpapers/Ising.pdf[Bailey et al. 06]
  • Bailey , D. H. , Borwein , J. M. and Crandall , R. E. 2007 . “Box integrals.” . Journal of Computational and Applied Mathematics , 206 : 196 – 208 . [Bailey et al. 07]
  • Bailey , D. H. , Borwein , J. M. and Crandall , R. E. 2010 . “Advances in the Theory of Box Integrals.” . Mathematics of Computation , 79 : 1839 – 1866 . [Bailey et al. 09]
  • Borwein , J. M. and Crandall , R. E. 2010 . “Closed Forms: What They Are and Why We Care.” . Notices of the Amer. Math. Soc. , To appear in, [Borwein and Crandall 10]
  • Crandall , R. E. 2010 . “Theory of Box Series.” Available online http://www.perfscipress.com/papers/FastBn_psipress.pdf[Crandall 10]
  • Lewin , Leonard . 1981 . Polylogarithms and Associated Functions Amsterdam : North Holland. . [Lewin 81]
  • Sloane , N. J. A. , ed. 2009 . The On-Line Encyclopedia of Integer Sequences Available at http://www.research.att.com/∼njas/sequences[Sloane 09]

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