Variant alternating Euler sums of higher order | [Discrete Mathematics Letters • 2023]

Author(s):

1. 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.

Page(s): 15-21

DOI: 10.47443/dml.2022.192

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

Keywords:

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

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