Harmonic Numbers and Cubed Binominal Coefficients

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Sofo, Anthony (2011) Harmonic Numbers and Cubed Binominal Coefficients. International Journal of Combinatorics. ISSN 1678-9163 (print), 1687-9171 (online)

Abstract

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

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Additional Information

Article ID 208260

Item type Article
URI https://vuir.vu.edu.au/id/eprint/9229
DOI https://doi.org/10.1155/2011/208260
Official URL http://www.hindawi.com/journals/ijct/2011/208260/
Subjects Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Current > Division/Research > VU College
Keywords ResPubID23857, combinatorial identities, integral representations
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