Harmonic series with polylogarithmic functions

Vuk Stojiljković; Nicola Fabiano; Vesna  Šešum Čavić

doi:10.5937/vojtehg70-35148

Harmonic series with polylogarithmic functions

Vuk Stojiljković University of Novi Sad, Faculty of Sciences, Novi Sad, Republic of Serbia https://orcid.org/0000-0002-4244-4342
Nicola Fabiano University of Belgrade, “Vinča” Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Belgrade, Republic of Serbia https://orcid.org/0000-0003-1645-2071
Vesna Šešum Čavić TU Wien, Institute of Information Systems Engineering, Vienna, Republic of Austria; University of Belgrade, Faculty of Civil Engineering, Belgrade, Republic of Serbia https://orcid.org/0000-0002-0759-0686

DOI: https://doi.org/10.5937/vojtehg70-35148

Keywords: polylogarithmic function, series, harmonic numbers, integration

Abstract

Introduction/purpose: Some sums of the polylogarithmic function associated with harmonic numbers are established.

Methods: The approach is based on using the summation methods.

Results: This paper generalizes the results of the zeta function series associated with the harmonic numbers.

Conclusions: Various interesting series as the consequence of the generalization are obtained.

References

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Published

2022/01/05

Issue

Vol. 70 No. 1 (2022): January-March

Section

Original Scientific Papers

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