Families of skew linear harmonic Euler sums involving some parameters

Abstract In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral. A reciprocity property is utilized to highlight an explicit representation for a particular skew harmonic linear Euler sum. A number of examples are also given which highlight the theorems. This work generalizes some results in the published literature and introduces some new results.

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Bibliographic Details
Main Author: Sofo,Anthony
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2024
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462024000100075
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