Some definite logarithmic integrals from Euler sums, and other integration results
Mathematical Physics
2010-01-12 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1001.1366,
title = {Some definite logarithmic integrals from Euler sums, and other integration results},
author = {Mark W. Coffey},
journal= {arXiv preprint arXiv:1001.1366},
year = {2010}
}
Comments
24 pages, no figures