Families of skew linear harmonic Euler sums involving some parameters

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Sofo, Anthony ORCID: 0000-0002-1277-8296 (2024) Families of skew linear harmonic Euler sums involving some parameters. Cubo, 26 (1). pp. 75-89. ISSN 0719-0646

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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Item type Article
URI https://vuir.vu.edu.au/id/eprint/48932
DOI 10.56754/0719-0646.2601.075
Official URL https://cubo.ufro.cl/index.php/cubo/article/view/3...
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords skew linear harmonic Euler sum; polygamma function; harmonic number; polylogarithmfunction; Bernoulli number
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