Extensions of Euler harmonic sums
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Sofo, Anthony and Cvijovic, Djurdje (2012) Extensions of Euler harmonic sums. Applicable Analysis and Discrete Mathematics, 6 (2). pp. 317-328. ISSN 1452-8630
Abstract
Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Euler’s famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered.
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Item type | Article |
URI | https://vuir.vu.edu.au/id/eprint/23306 |
DOI | 10.2298/AADM120628016S (external link) |
Official URL | http://www.doiserbia.nb.rs/Article.aspx?ID=1452-86... (external link) |
Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences Current > Division/Research > College of Science and Engineering |
Keywords | ResPubID25654, harmonic numbers, Riemann Zeta functions, binomial coefficients, Psi (Digamma) function, Polygamma functions |
Citations in Scopus | 23 - View on Scopus (external link) |
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