Convergent expansions of the Bessel functions in terms of elementary functions
| dc.contributor.author | López García, José Luis | |
| dc.contributor.author | Pagola Martínez, Pedro Jesús | |
| dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | en |
| dc.date.accessioned | 2018-12-14T12:04:14Z | |
| dc.date.available | 2018-12-14T12:04:14Z | |
| dc.date.issued | 2018 | |
| dc.description | This is a post-peer-review, pre-copyedit version of an article published in Advances in Computational Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s10444-017-9543-y | en |
| dc.description.abstract | We consider the Bessel functions Jν (z) and Yν (z) for ν > −1/2 and z ≥ 0. We derive a convergent expansion of Jν (z) in terms of the derivatives of (sin z)/z, and a convergent expansion of Yν (z) in terms of derivatives of (1−cos z)/z, derivatives of (1 − e−z)/z and (2ν, z). Both expansions hold uniformly in z in any fixed horizontal strip and are accompanied by error bounds. The accuracy of the approximations is illustrated with some numerical experiments. | en |
| dc.description.sponsorship | This research was supported by the Spanish Ministry of "Economía y Competitividad", project MTM2014-52859-P. The Universidad Pública de Navarra is acknowledged by its financial support. | en |
| dc.format.extent | 18 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1007/s10444-017-9543-y | |
| dc.identifier.issn | 1019-7168 (Print) | |
| dc.identifier.issn | 1572-9044 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/31775 | |
| dc.language.iso | eng | en |
| dc.publisher | Springer US | en |
| dc.relation.ispartof | Advances in Computational Mathematics (2018) 44:277–294 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1007/s10444-017-9543-y | |
| dc.rights | © Springer Science+Business Media, LLC 2017 | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Bessel functions | en |
| dc.subject | Convergent expansions | en |
| dc.subject | Error bounds | en |
| dc.subject | Uniform expansions | en |
| dc.title | Convergent expansions of the Bessel functions in terms of elementary functions | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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