A simple proof of Tong's theorem
History and Overview
2021-07-20 v3 Classical Analysis and ODEs
Abstract
We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.
Cite
@article{arxiv.2106.13808,
title = {A simple proof of Tong's theorem},
author = {Vyacheslav M. Abramov},
journal= {arXiv preprint arXiv:2106.13808},
year = {2021}
}
Comments
3 pages, Some minor corrections are made. The paper will not be submitted