Some definite logarithmic integrals from Euler sums, and other integration results

Details Some definite logarithmic integrals from Euler sums, and other integration results Some definite logarithmic integrals from Euler sums, and other integration results

2010-01-08

arxiv.org/abs/1001.1366v1

Physics

Mathematical Physics

24 pages, no figures

Scientific paper

We present explicit expressions for multi-fold logarithmic integrals that are
equivalent to sums over polygamma functions at integer argument. Such relations
find application in perturbative quantum field theory, quantum chemistry,
analytic number theory, and elsewhere. The analysis includes the use of
properties of a variety of special functions.

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