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Families of skew linear harmonic Euler sums involving some parameters

dc.creatorSofo, Anthony
dc.date2024-04-05
dc.date.accessioned2024-04-16T14:16:58Z
dc.date.available2024-04-16T14:16:58Z
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3644
dc.identifier10.56754/0719-0646.2601.075
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/241521
dc.descriptionIn 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3644/2353
dc.rightsCopyright (c) 2024 A. Sofoen-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 26 No. 1 (2024); 75–89en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 26 No. 1 (2024); 75–89es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectSkew linear harmonic Euler sumen-US
dc.subjectPolygamma functionen-US
dc.subjectharmonic numberen-US
dc.subjectpolylogarithm functionen-US
dc.subjectBernoulli numberen-US
dc.subject11M06en-US
dc.subject11M35en-US
dc.subject26B15en-US
dc.subject33B15en-US
dc.subject42A70en-US
dc.subject65B10en-US
dc.titleFamilies of skew linear harmonic Euler sums involving some parametersen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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