  We consider summations over digamma and polygamma functions, often with
summands of the form (\pm 1)^n\psi(n+p/q)/n^r and (\pm 1)^n\psi^{(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.
