Variant alternating Euler sums of higher order

Anthony Sofo

doi:10.47443/dml.2022.192

Author(s)

Anthony Sofo College of Engineering and Science, Victoria University,Melbourne,AustraliaSchool of Science, Royal Melbourne Institute of Technology University,Melbourne,Australia

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.

Publication Details

Page(s) 15-21

DOI 10.47443/dml.2022.192

Published Journal: Discrete Mathematics Letters, Volume: 12, Issue: 0, Year: 2023

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Keywords

polygamma functions, Riemann zeta functions, variant Euler sums, alternating harmonic sums