On Some Sums of Digamma and Polygamma functions - Version (2017) and Review
Classical Analysis and ODEs
2017-10-17 v3 Complex Variables
Abstract
This paper is an enhanced version of a more than decade-older paper with a similar title. Many formulae involving both finite and infinite sums of digamma and polygamma functions up to quadratic order, few of which appear in standard reference works or the literature, but which periodically arise in applications, are collected, reviewed, listed and developed to the point that a knowledgeable reader could devise a formal proof. Several errors in the literature are corrected
Keywords
Cite
@article{arxiv.math/0406338,
title = {On Some Sums of Digamma and Polygamma functions - Version (2017) and Review},
author = {Michael Milgram},
journal= {arXiv preprint arXiv:math/0406338},
year = {2017}
}
Comments
This (2017) version contains major enhancements and additions to the previous (2004) version