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Open Accesshttps://doi.org/10.3390/math13020321
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Cite Journal: Mathematics |  Publication Date: Jan 20, 2025 |
 License type: CC BY 4.0 |
We study the formulas for binomial sums of harmonic numbers of higher order ∑k=0nHk(r)nk(1−q)kqn−k=Hn(r)−∑j=1nDr(n,j)qjj. Recently, Mneimneh proved that D1(n,j)=1. In this paper, we find several different expressions of Dr(n,j) for r≥1.
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