Finite mixed sums with harmonic terms

Year, pages: 2015, 923 - 934

In the spirit of Euler sums we develop a set of identities for finite sums of products of harmonic numbers in higher order and reciprocal binomial coefficients. The new results complement some Euler sums of the type

$$ ∑_n=1^m\frac{H_n⁽²⁾}{n\binom{n+k}{k}²}. $$

Sofo, A. 2015. Finite mixed sums with harmonic terms. In Mathematica Slovaca, vol. 65, no.5, pp. 923-934. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0062

Sofo, A. (2015). Finite mixed sums with harmonic terms. Mathematica Slovaca, 65(5), 923-934. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0062