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Volumn 98, Issue 2, 1998, Pages 245-271

Summing one- and two-dimensional series related to the Euler series

Author keywords

Clausen's function; Euler series; Hypergeometric series; Polylogarithms; Psi function; Riemann zeta function

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; QUANTUM THEORY;

EID: 0032182691     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00137-X     Document Type: Article
Times cited : (19)

References (24)
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  • 5
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    • Two-loop ladder-diagram contributions to Bhabha scattering
    • K.S. Bjørkevoll, G. Fäldt, P. Osland, Two-loop ladder-diagram contributions to Bhabha scattering, Nuclear Phys. B 386 (1992) 280, 386 (1992) 303.
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  • 6
    • 4243879032 scopus 로고
    • K.S. Bjørkevoll, G. Fäldt, P. Osland, Two-loop ladder-diagram contributions to Bhabha scattering, Nuclear Phys. B 386 (1992) 280, 386 (1992) 303.
    • (1992) Nuclear Phys. B , vol.386 , pp. 303
  • 7
    • 84966215559 scopus 로고
    • On an intriguing integral and some series related to ζ(4)
    • D. Borwein, J.M. Borwein, On an intriguing integral and some series related to ζ(4), Proc. Amer. Math. Soc. 123 (4) (1995) 1191.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , Issue.4 , pp. 1191
    • Borwein, D.1    Borwein, J.M.2
  • 12
    • 51249183569 scopus 로고
    • Table of integrals and formulae for Feynman diagram calculations
    • A. Devoto, D.W. Duke, Table of integrals and formulae for Feynman diagram calculations, Riv. Nuovo Cimento (3) 7 (6) (1984) 1.
    • (1984) Riv. Nuovo Cimento (3) , vol.7 , Issue.6 , pp. 1
    • Devoto, A.1    Duke, D.W.2
  • 13
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    • Space-time approach to quantum electrodynamics
    • R.P. Feynman, Space-time approach to quantum electrodynamics, Phys. Rev. (2) 76 (1949) 769.
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  • 14
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    • On the evaluation of polylogarithmic integrals
    • Simon Stevin
    • R. Gastmans, W. Troost, On the evaluation of polylogarithmic integrals, Simon Stevin, Quart. J. Pure Appl. Math. 55 (1981) 205
    • (1981) Quart. J. Pure Appl. Math. , vol.55 , pp. 205
    • Gastmans, R.1    Troost, W.2
  • 16
    • 85033886591 scopus 로고    scopus 로고
    • has compiled a list of references on multiple harmonic series and Euler sums at his website
    • M. Hoffman has compiled a list of references on multiple harmonic series and Euler sums at his website, http://www.nadn.navy.mil/math/meh/biblio.html.
    • Hoffman, M.1
  • 21
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    • Ph.D. Thesis, unpublished
    • O.M. Ogreid, Ph.D. Thesis, unpublished.
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  • 23
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    • Remarks on some integrals and series involving the stirling numbers and ζ(n)
    • L.-C. Shen, Remarks on some integrals and series involving the Stirling numbers and ζ(n), Trans. Amer. Math. Soc. 347 (1995) 1391.
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    • Shen, L.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.