On the Ramanujan–Lodge harmonic number expansion

dc.creator	Mortici, Cristinel
dc.creator	Villarino Bertram, Mark
dc.date.accessioned	2018-09-07T20:50:09Z
dc.date.available	2018-09-07T20:50:09Z
dc.date.issued	2015-01-15
dc.identifier.citation	https://www.sciencedirect.com/science/article/pii/S0096300314016208	es_ES
dc.identifier.issn	0096-3003
dc.identifier.uri	http://hdl.handle.net/10669/75614
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_ES
dc.description.sponsorship	Romanian National Authority for Scientific Research/[PN-II-ID-PCE-2011–3-0087]//Rumanía	es_ES
dc.description.sponsorship	Universidad de Costa Rica/[]/UCR/Costa Rica	es_ES
dc.language.iso	en_US	es_ES
dc.source	Applied Mathematics and Computation, Vol. 251, pp.423-430	es_ES
dc.subject	Harmonic numbers	es_ES
dc.subject	Bernoulli numbers	es_ES
dc.subject	Asymptotic expansion	es_ES
dc.subject	Rate of convergence	es_ES
dc.subject	Approximations	es_ES
dc.subject	Inequalities	es_ES
dc.subject	Matemáticas	es_ES
dc.subject	510 Matemáticas	es_ES
dc.title	On the Ramanujan–Lodge harmonic number expansion	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.type	Artículo científico	es_ES
dc.identifier.doi	10.1016/j.amc.2014.11.088
dc.description.procedence	UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de investigaciones Matemáticas y Metamatemáticas (CIMM)	es_ES