Harmonic sums and integral representations

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Sofo, Anthony (2010) Harmonic sums and integral representations. Journal of Applied Analysis, 16 (2). pp. 265-277. ISSN 1425-6908 (print) 1869-6082 (online)

Abstract

In this paper we derive some identities of harmonic number sums with binomial coefficients, we also give integral representations for the sums. We recover some existing identities and introduce a number of new ones.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7422
DOI https://doi.org/10.1515/jaa.2010.018
Official URL http://www.degruyter.com/view/j/jaa.2010.16.issue-...
Subjects Current > Division/Research > VU College
Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID19903, harmonic numbers, zeta functions, binomial coefficients, combinatorial identities, double integral representations, series representations
Citations in Scopus 27 - View on Scopus
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