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Extensions of Euler harmonic sums

Sofo, Anthony and Cvijovic, Djurdje (2012) Extensions of Euler harmonic sums. Applicable Analysis and Discrete Mathematics, 6 (2). pp. 317-328. ISSN 1452-8630

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID25654, harmonic numbers, Riemann Zeta functions, binomial coefficients, Psi (Digamma) function, Polygamma functions
Subjects: FOR Classification > 0102 Applied Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Faculty/School/Research Centre/Department > College of Science and Engineering
Depositing User: Yimin Zeng
Date Deposited: 12 Mar 2014 02:13
Last Modified: 19 Sep 2014 05:09
URI: http://vuir.vu.edu.au/id/eprint/23306
DOI: 10.2298/AADM120628016S
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