Title of article :
Harmonic series with polylogarithmic functions
Author/Authors :
Stojiljković ، Vuk Faculty of Sciences - University of Novi Sad , Fabiano ، Nicola VINČA Institute of Nuclear Sciences - National Institute of the Republic of Serbia - University of Belgrade , Šešum Čavić ، Vesna Institute of Information Systems Engineering - TU Wien
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.
Keywords :
polylogarithmic function , series , harmonic numbers , integration
Journal title :
Military Technical Courier
Journal title :
Military Technical Courier