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Volumn 48, Issue 1, 2012, Pages 121-141

Moments of products of elliptic integrals

Author keywords

Elliptic integrals; Generalised hypergeometric series; Moments

Indexed keywords

ELLIPTIC INTEGRALS; HYPERGEOMETRIC SERIES; MOMENTS; NEW RESULTS;

EID: 80054694684     PISSN: 01968858     EISSN: 10902074     Source Type: Journal    
DOI: 10.1016/j.aam.2011.04.007     Document Type: Article
Times cited : (19)

References (19)
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  • 4
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    • Elliptic integral evaluations of Bessel moments and applications
    • D.H. Bailey, J.M. Borwein, D.J. Broadhurst, and M.L. Glasser Elliptic integral evaluations of Bessel moments and applications J. Phys. A 41 2008 5203 5231
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    • Bailey, D.H.1    Borwein, J.M.2    Broadhurst, D.J.3    Glasser, M.L.4
  • 5
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    • Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs
    • DOI 10.1007/s002220100168
    • K. Ball, and T. Rivoal Irrationalité dune infinité de valeurs de la fonction zêta aux entiers impairs Invent. Math. 146 2001 193 207 (Pubitemid 33726301)
    • (2001) Inventiones Mathematicae , vol.146 , Issue.1 , pp. 193-207
    • Ball, K.1    Rivoal, T.2
  • 7
    • 84968476480 scopus 로고
    • A cubic counterpart of Jacobis identity and the AGM
    • J.M. Borwein, and P.B. Borwein A cubic counterpart of Jacobis identity and the AGM Trans. Amer. Math. Soc. 323 1991 691 701
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 691-701
    • Borwein, J.M.1    Borwein, P.B.2
  • 9
    • 84876194996 scopus 로고    scopus 로고
    • Three-step and four-step random walk integrals
    • in press
    • J.M. Borwein, A. Straub, J. Wan, Three-step and four-step random walk integrals, Expo. Math. (2010), in press.
    • (2010) Expo. Math.
    • Borwein, J.M.1    Straub, A.2    Wan, J.3
  • 12
    • 0003587202 scopus 로고
    • A polynomial time, numerically stable integer relation algorithm
    • H. Ferguson, D.H. Bailey, A polynomial time, numerically stable integer relation algorithm, RNR Techn. Rept., 1992.
    • (1992) RNR Techn. Rept.
    • Ferguson, H.1    Bailey, D.H.2
  • 13
    • 0007112977 scopus 로고
    • Definite integrals of the complete elliptic integral K
    • M.L. Glasser Definite integrals of the complete elliptic integral K J. Res. Natl. Bur. Stand., Sect. B 80 1976 313 323
    • (1976) J. Res. Natl. Bur. Stand., Sect. B , vol.80 , pp. 313-323
    • Glasser, M.L.1
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    • 80054683668 scopus 로고    scopus 로고
    • Wolfram Functions, at, 2010
    • Wolfram Functions, at http://functions.wolfram.com, 2010.
  • 19
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    • Very well-poised hypergeometric series and multiple integrals
    • W. Zudilin Very well-poised hypergeometric series and multiple integrals Russian Math. Surveys 57 2002 824 826
    • (2002) Russian Math. Surveys , vol.57 , pp. 824-826
    • Zudilin, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.