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)