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Uniform convergent expansions of the error function in terms of elementary functions
| dc.creator | Ferreira González, Chelo | es_ES |
| dc.creator | López García, José Luis | es_ES |
| dc.creator | Pérez Sinusía, Ester | es_ES |
| dc.date.accessioned | 2023-06-23T16:54:12Z | |
| dc.date.available | 2023-06-23T16:54:12Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Ferreira, C., López, J. L., Sinusía, E. P. (2023) Uniform convergent expansions of the error function in terms of elementary functions. Mediterranean Journal of Mathematics, 20, 1-10. https://doi.org/10.1007/s00009-023-02297-2. | en |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.uri | https://hdl.handle.net/2454/45608 | |
| dc.description.abstract | We derive a new analytic representation of the error function erfz in the form of a convergent series whose terms are exponential and rational functions. The expansion holds uniformly in z in the double sector | arg (±z) | <π/4. The expansion is accompanied by realistic error bounds. | en |
| dc.description.sponsorship | Open Access funding provided by Universidad Pública de Navarra. | en |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | eng | en |
| dc.publisher | Springer | en |
| dc.relation.ispartof | Mediterranean Journal of Mathematics 20, 117 (2023) | en |
| dc.rights | © 2023, The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License. | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Error function | en |
| dc.subject | Convergent expansions | en |
| dc.subject | Uniform expansions | en |
| dc.title | Uniform convergent expansions of the error function in terms of elementary functions | en |
| dc.type | Artículo / Artikulua | es |
| dc.type | info:eu-repo/semantics/article | en |
| dc.date.updated | 2023-06-23T16:12:04Z | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.identifier.doi | 10.1007/s00009-023-02297-2 | |
| dc.relation.publisherversion | https://doi.org/10.1007/s00009-023-02297-2 | |
| dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
| dc.type.version | info:eu-repo/semantics/publishedVersion | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
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