Variant alternating Euler sums of higher order

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Sofo, Anthony ORCID logoORCID: https://orcid.org/0000-0002-1277-8296 (2023) Variant alternating Euler sums of higher order. Discrete Mathematics Letters, 12. pp. 15-21. ISSN 2664-2557

Abstract

A family of alternating variant Euler sums of higher order is investigated. A number of different examples concerning the main theorem are given. A Log-PolyLog integral in terms of special functions is also evaluated.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/50006
DOI 10.47443/dml.2022.192
Official URL https://doi.org/10.47443/dml.2022.192
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > FOR (2020) Classification > 4904 Pure mathematics
Current > Division/Research > College of Science and Engineering
Keywords variant Euler sums; alternating harmonic sums; polygamma functions; Riemann zeta functions
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