A simple proof of Tong's theorem

2021/06/27 by Abramov, Vyacheslav M.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.2106.13808

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.

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