A generalized alternating harmonic series

Shelby Kilmer; Songfeng Zheng

doi:10.3934/math.2021781

AIMS Mathematics (Sep 2021)

A generalized alternating harmonic series

Shelby Kilmer,
Songfeng Zheng

Affiliations

Shelby Kilmer: Department of Mathematics, Missouri State University, 901 S. National, Springfield, MO 65897, USA
Songfeng Zheng: Department of Mathematics, Missouri State University, 901 S. National, Springfield, MO 65897, USA

DOI: https://doi.org/10.3934/math.2021781
Journal volume & issue: Vol. 6, no. 12
pp. 13480 – 13487

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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