Journal of Computational and Applied Mathematics - Special volume on the occasion of the 65th birthday of Professor C. C. Grosjean
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
We evaluate a variety of log-cosine integrals, one of which has value a rational multiple of πζ(4), while others evaluate to the form π[aζ(6) + b(3/4)ζ2(3)], where a 0 is rational and b is 1 or 2, and ζ is the Riemann zeta function. We show that these results may be obtained starting from a known tabulated result. The derivation yields results for certain classes of logarithm-trigonometric integrals, and indicates how further analytic results on digamma series may be obtained.