On one dimensional digamma and polygamma series related to the evaluation of Feynman diagrams

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dc.creatorCoffey, Mark W.
dc.date2005-05-19
dc.date.accessioned2026-07-07T04:32:07Z
dc.date.available2026-07-07T04:32:07Z
dc.descriptionWe consider summations over digamma and polygamma functions, often with summands of the form (\pm 1)^nψ(n+p/q)/n^r and (\pm 1)^nψ^{(m)} (n+p/q)/n^r, where m, p, q, and r are positive integers. We develop novel general integral representations and present explicit examples. Special cases of the sums reduce to known linear Euler sums. The sums of interest find application in quantum field theory, including evaluation of Feynman amplitudes.
dc.descriptionto appear in J. Comput. Appl. Math.; corrected proof available online with this journal; no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0505051
dc.identifierhttp://arxiv.org/abs/math-ph/0505051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58071
dc.subjectMathematical Physics
dc.titleOn one dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
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