On Some Sums of Digamma and Polygamma functions - Version (2017) and Review
经典分析与常微分方程
2017-10-17 v3 复变函数
摘要
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
引用
@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}
}
备注
This (2017) version contains major enhancements and additions to the previous (2004) version