On the Ramanujan–Lodge harmonic number expansion

dc.creator	Mortici, Cristinel
dc.creator	Villarino, Mark Bertram
dc.date.accessioned	2018-09-07T20:50:09Z
dc.date.available	2018-09-07T20:50:09Z
dc.date.issued	2015-01-15
dc.description.abstract	The aim of this paper is to extend and refine the Ramanujan–Lodge harmonic number expansion into negative powers of a triangular number. We construct a faster asymptotic series and some new sharp inequalities for the harmonic numbers.	es
dc.description.procedence	UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemática y Meta-Matemática (CIMM)	es
dc.description.sponsorship	Romanian National Authority for Scientific Research/[PN-II-ID-PCE-2011–3-0087]//Rumanía	es
dc.description.sponsorship	Universidad de Costa Rica/[]/UCR/Costa Rica	es
dc.identifier.citation	https://www.sciencedirect.com/science/article/pii/S0096300314016208
dc.identifier.doi	https://doi.org/10.1016/j.amc.2014.11.088
dc.identifier.issn	0096-3003
dc.identifier.uri	https://hdl.handle.net/10669/75614
dc.language.iso	en_US
dc.rights	acceso embargado
dc.source	Applied Mathematics and Computation, Vol. 251, pp.423-430	es
dc.subject	Harmonic numbers	es
dc.subject	Bernoulli numbers	es
dc.subject	Asymptotic expansion	es
dc.subject	Rate of convergence	es
dc.subject	Approximations	es
dc.subject	Inequalities	es
dc.subject	Matemáticas	es
dc.subject	510 Matemáticas	es
dc.title	On the Ramanujan–Lodge harmonic number expansion	es
dc.type	artículo original

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