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A new type of sharp bounds for ratios of modified Bessel functions

dc.contributor.authorRuiz Antolín, Diego 
dc.contributor.authorSegura Sala, José Javier 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2017-07-04T09:30:06Z
dc.date.available2018-11-16T03:45:14Z
dc.date.issued2016-11-15
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.otherMTM2012-34787es_ES
dc.identifier.urihttp://hdl.handle.net/10902/11337
dc.description.abstractThe bounds for the ratios of first and second kind modified Bessel functions of consecutive orders are important quantities appearing in a large number of scientific applications. We obtain new bounds which are accurate in a large region of parameters and which are sharper than previous bounds. The new bounds are obtained by a qualitative analysis of the Riccati equation satisfied by these ratios. A procedure is considered in which the bounds obtained from the analysis of the Riccati equation are used to define a new function satisfying a new Riccati equation which yields sharper bounds. Similar ideas can be applied to other functions.es_ES
dc.description.sponsorshipJS acknowledges financial support from Ministerio de Economía y Competitividad, project MTM2012-34787es_ES
dc.format.extent14 p.es_ES
dc.language.isoenges_ES
dc.publisherAcademic Press Inc.es_ES
dc.rights© 2016, Elsevier. Licensed under the Creative Commons Reconocimiento-NoComercial-SinObraDerivadaes_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceJournal of Mathematical Analysis and Applications, Volume 443, Issue 2, 15 November 2016, Pages 1232-1246es_ES
dc.subject.otherModified Bessel functionses_ES
dc.subject.otherBoundses_ES
dc.titleA new type of sharp bounds for ratios of modified Bessel functionses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jmaa.2016.06.011es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.jmaa.2016.06.011
dc.type.versionacceptedVersiones_ES


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© 2016, Elsevier. Licensed under the Creative Commons Reconocimiento-NoComercial-SinObraDerivadaExcepto si se señala otra cosa, la licencia del ítem se describe como © 2016, Elsevier. Licensed under the Creative Commons Reconocimiento-NoComercial-SinObraDerivada