Ferreira González, CheloLópez García, José LuisPérez Sinusía, Ester2023-06-232023-06-232023Ferreira, 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/s00009-023-02297-2.1660-544610.1007/s00009-023-02297-2https://academica-e.unavarra.es/handle/2454/45608We 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.application/pdfeng© 2023, The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License.Error functionConvergent expansionsUniform expansionsinfo:eu-repo/semantics/article2023-06-23info:eu-repo/semantics/openAccess