Euler-related sums

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Sofo, Anthony ORCID: 0000-0002-1277-8296 (2012) Euler-related sums. Mathematical Sciences, 6 (1). ISSN 2008-1359


Purpose: The purpose of this paper is to develop a set of identities for Euler type sums of products of harmonic numbers and reciprocal binomial coefficients. Method: We use analytical methods to obtain our results. Results: We obtain identities for variant Euler sums of the type ∑n=1∞H2nn(n+kk), and its finite counterpart, which generalize some results obtained by other authors. Conclusions: Identities are successfully achieved for the sums under investigation. Some published results have been successfully generalized.

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Item type Article
DOI 10.1186/2251-7456-6-10
Official URL
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > FOR (2020) Classification > 4904 Pure mathematics
Current > Division/Research > College of Science and Engineering
Keywords Eurler type sums, harmonic numbers, applied mathematics, maths
Citations in Scopus 0 - View on Scopus
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