Analytic continuation of harmonic sums: dispersion representation
High Energy Physics - Phenomenology
2022-11-24 v3 High Energy Physics - Theory
Abstract
We present a simple representation for analytically continued nested harmonic sums for the arbitrary complex argument. This representation can be obtained for a wide range of nested harmonic sums from a precomputed database for the pole expressions of these sums near negative integers. We describe the procedure for the precise numerical evaluations of the corresponding results from the dispersion representation.
Cite
@article{arxiv.2205.15182,
title = {Analytic continuation of harmonic sums: dispersion representation},
author = {V. N. Velizhanin},
journal= {arXiv preprint arXiv:2205.15182},
year = {2022}
}
Comments
12 pages, 3 ancillary files, typos corrected, links to GitHub added, references added