Publication: Uniform convergent expansions of the error function in terms of elementary functions
Date
2023
Director
Publisher
Springer
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa
Project identifier
Métricas Alternativas
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.
Description
Keywords
Error function, Convergent expansions, Uniform expansions
Department
Estadística, Informática y Matemáticas / Estatistika, Informatika eta Matematika / Institute for Advanced Materials and Mathematics - INAMAT2
Faculty/School
Degree
Doctorate program
item.page.cita
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.
item.page.rights
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