2010•arXiv (Cornell University)Open access

The Sum of Certain Series Related to Harmonic Numbers

Omran Kouba

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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.

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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.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Series (stratigraphy), Mathematics, Harmonic, Physics, Geology, Acoustics, Paleontology

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