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