Families of skew linear harmonic Euler sums involving some parameters





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.


Skew linear harmonic Euler sum , Polygamma function , harmonic number , polylogarithm function , Bernoulli number

Mathematics Subject Classification:

11M06 , 11M35 , 26B15 , 33B15 , 42A70 , 65B10
  • Pages: 75–89
  • Date Published: 2024-04-05
  • Vol. 26 No. 1 (2024)

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How to Cite

A. Sofo, “Families of skew linear harmonic Euler sums involving some parameters”, CUBO, vol. 26, no. 1, pp. 75–89, Apr. 2024.