Abstract

This paper introduces a generalization of the alternating harmonic series, expresses the sum in two closed forms, and examines the relationship between these sums and the harmonic numbers.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.3934/math.2021

Rights Information

© 2021 The Authors; licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

Keywords

Alternating harmonic series, Harmonic numbers, Rearrangement of series, Sum of infinite series

Publication Date

1-1-2021

Journal Title

AIMS Mathematics

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