Identities for the Harmonic Numbers and Binominal Coefficients

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Sofo, Anthony and Srivastava, Hari (2011) Identities for the Harmonic Numbers and Binominal Coefficients. The Ramanujan Journal, 25 (1). pp. 93-113. ISSN 1382-4090 (print) 1572-9303 (online)

Abstract

We extend some results of Euler related sums. Integral and closed-form representations of sums with products of harmonic numbers and binomial coefficients are developed in terms of Polygamma functions. The various representations presented in this paper are believed to be new.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/9227
DOI	10.1007/s11139-010-9228-3
Official URL	http://link.springer.com/article/10.1007%2Fs11139-...
Subjects	Current > Division/Research > VU College Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords	ResPubID23855, harmonic numbers, Riemann zeta function, polylogarithms, integral representations, binomial coefficients, Euler sums, digamma functions, polygamma functions, Catalan’s constant, Bernoulli polynomials, Clausen function
Citations in Scopus	59 - View on Scopus
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