doi:10.1007/s00009-023-02297-2engFerreira, CheloLópez, José L.Pérez Sinusía, EsterUniform convergent expansions of the error function in terms of elementary functionsART-2023-132827We 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.2023http://zaguan.unizar.es/record/12447210.1007/s00009-023-02297-2http://zaguan.unizar.es/record/124472oai:zaguan.unizar.es:124472Mediterranean Journal of Mathematics 20, 3 (2023), [10 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess