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Mcmahon-type asymptotic expansions of the zeros of the coulomb wave functions

dc.contributor.authorGil Gómez, Amparo 
dc.contributor.authorSegura Sala, José Javier 
dc.contributor.authorTemme, Nicolaas Maria 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-08-16T09:20:44Z
dc.date.available2024-08-16T09:20:44Z
dc.date.issued2024-08
dc.identifier.issn1815-0659
dc.identifier.otherPID2021-127252NB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/33464
dc.description.abstractWe derive asymptotic expansions of the large zeros of the Coulomb wave functions and for those of their derivatives. The new expansions have the same form as the McMahon expansions of the zeros of the Bessel functions and reduce to them when a parameter is equal to zero. Numerical tests are provided to demonstrate the accuracy of the expansions.es_ES
dc.description.sponsorshipWe thank the referees for helpful and constructive remarks on an earlier version of the paper. We acknowledge financial support from Ministerio de Ciencia e Innovaci´on, Spain, project PID2021- 127252NB-I00 (MCIN/AEI/10.13039/501100011033/ FEDER, UE).es_ES
dc.format.extent9 p.es_ES
dc.language.isoenges_ES
dc.publisherDepartment of Applied Research Institute of Mathematics of National Academy of Science of Ukrainees_ES
dc.rightsAttribution-ShareAlike 4.0 Internationales_ES
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/*
dc.sourceSymmetry, Integrability and Geometry: Methods and Applications, 2024, 20, 075es_ES
dc.subject.otherCoulomb wave functionses_ES
dc.subject.otherMcMahon-type zeroses_ES
dc.subject.otherAsymptotic expansionses_ES
dc.titleMcmahon-type asymptotic expansions of the zeros of the coulomb wave functionses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-127252NB-I00/ES/METODOS NUMERICOS Y ASINTOTICOS PARA LA EVALUACION DE FUNCIONES MATEMATICAS Y SOFTWARE NUMERICO ASOCIADO/es_ES
dc.identifier.DOI10.3842/SIGMA.2024.075
dc.type.versionpublishedVersiones_ES


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