Uniform convergent expansions of the error function in terms of elementary functions
Ferreira, Chelo (Universidad de Zaragoza) ; López, José L. ; Pérez Sinusía, Ester (Universidad de Zaragoza)
Resumen: We derive a new analytic representation of the error function erf z 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.
Idioma: Inglés
DOI: 10.1007/s00009-023-02297-2
Año: 2023
Publicado en: Mediterranean Journal of Mathematics 20, 3 (2023), [10 pp.]
ISSN: 1660-5446
Factor impacto JCR: 1.1 (2023)
Categ. JCR: MATHEMATICS rank: 98 / 490 = 0.2 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 163 / 332 = 0.491 (2023) - Q2 - T2
Factor impacto CITESCORE: 1.8 - Mathematics (all) (Q2)
Factor impacto SCIMAGO: 0.604 - Mathematics (miscellaneous) (Q2)
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Exportado de SIDERAL (2024-11-22-12:12:39)
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Idioma: Inglés
DOI: 10.1007/s00009-023-02297-2
Año: 2023
Publicado en: Mediterranean Journal of Mathematics 20, 3 (2023), [10 pp.]
ISSN: 1660-5446
Factor impacto JCR: 1.1 (2023)
Categ. JCR: MATHEMATICS rank: 98 / 490 = 0.2 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 163 / 332 = 0.491 (2023) - Q2 - T2
Factor impacto CITESCORE: 1.8 - Mathematics (all) (Q2)
Factor impacto SCIMAGO: 0.604 - Mathematics (miscellaneous) (Q2)
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Exportado de SIDERAL (2024-11-22-12:12:39)
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Record created 2023-03-13, last modified 2024-11-25