The Sum of Certain Series Related to Harmonic Numbers
Omran Kouba
TL;DR
This paper derives explicit formulas for three families of series involving harmonic numbers using classical and complex analysis techniques.
Contribution
It introduces new explicit formulas for series with harmonic numbers, expanding the analytical tools available for such sums.
Findings
Explicit formulas for three harmonic series families
Application of classical and complex analysis methods
Enhanced understanding of harmonic number series sums
Abstract
In this paper, we consider three families of numerical series with general terms containing the harmonic numbers, and we use simple methods from classical and complex analysis to find explicit formulas for their respective sums.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Mathematical Approximation and Integration