Some infinite series related to Feynman diagrams

Journal of Computational and Applied Mathematics

Volumn 140, Issue 1-2, 2002, Pages 659-671

  Ogreid, Odd Magne ^a   Osland, Per ^a  

^a UNIVERSITY OF BERGEN   (Norway)

Author keywords

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

Indexed keywords

CALCULATIONS; FUNCTIONS; INTEGRATION;

INFINITE SERIES;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0036502172     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00487-3     Document Type: Article

References (20)

1. Explicit evaluation of Euler sums
2. Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
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4. Transcendental numbers and the topology of three-loop bubbles
5. Threshold expansion of Feynman diagrams within a configuration space technique
6. Single scale diagrams and multiple binomial sums
7. On Nielsen's generalized polylogarithms and their numerical calculation
8. Correlation function of the spin 1/2 XXX antiferromagnet
9. Using the Hofp algebra structure of QFT in calculations
10. The three loop on shell renormalization of QCD and QED
11. Summing one- and two-dimensional series related to the Euler series
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13. On the precise determination of the Fermi coupling constant from the muon lifetime
14. Harmonic sums, Mellin transforms and integrals