Higher-dimensional box integrals

Experimental Mathematics

Volumn 19, Issue 4, 2010, Pages 431-446

  Borwein, Jonathan M ^a   Chan, O Yeat ^b   Crandall, R E ^c  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b Reed College ^*  (Canada)

^c REED COLLEGE   (United States)

Author keywords

Arctan integral; Box integral; Trilogarithm

Indexed keywords

EID: 79952169350     PISSN: 10586458     EISSN: None     Source Type: Journal    
DOI: 10.1080/10586458.2010.10390634     Document Type: Article

References (8)

1. n and a Taylor Series Method." SIAM J. Applied Math. 30 (1973), 22-30
2. D. H. Bailey, J. M. Borwein, and R. E. Crandall. "Integrals of the Ising Class." J. Phys. A. 39 (2006), 12271-12302. Available online (http://crd.lbl.gov/~dhbailey/dhbpapers/Ising.pdf). (Pubitemid 44437506)
3. D. H. Bailey, J. M. Borwein, and R. E. Crandall. "Box integrals." Journal of Computational and Applied Mathematics 206 (2007), 196-208. (Pubitemid 46817754)
4. D. H. Bailey, J. M. Borwein, and R. E. Crandall. "Advances in the Theory of Box Integrals." Mathematics of Computation 79 (2010), 1839-1866.
5. J. M. Borwein and R. E. Crandall, "Closed Forms: What They Are and Why We Care." To appear in Notices of the Amer. Math. Soc., 2010.
6. R. E. Crandall. "Theory of Box Series." Available online (http://www.perfscipress.com/papers/FastBn-psipress.pdf), 2010.
7. Leonard Lewin. Polylogarithms and Associated Functions. Amsterdam: North Holland, 1981.
8. N. J. A. Sloane, editor. The On-Line Encyclopedia of Integer Sequences. Available at www.research.att.com/~njas/sequences/,2009.