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Harmonic Numbers and Cubed Binominal Coefficients

By Anthony Sofo

Abstract

Euler related results on the sum of the ratio of harmonic numbers\ud and cubed binomial coefficients are investigated in this paper. Integral\ud and closed-form representation of sums are developed in terms of zeta and\ud polygamma functions. The given representations are new

Topics: 0103 Numerical and Computational Mathematics, 970101 Expanding Knowledge in the Mathematical Sciences, VU College, ResPubID23857, combinatorial identities, integral representations
Publisher: Hindawi
Year: 2011
DOI identifier: 10.1155/2011
OAI identifier: oai:eprints.vu.edu.au:9229
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