Bujanda Cirauqui, BlancaLópez García, José LuisPagola Martínez, Pedro Jesús2018-12-142018-12-1420170219-5305 (Print)1793-6861 (Electronic)10.1142/S0219530517500099https://academica-e.unavarra.es/handle/2454/31776We consider the incomplete gamma function γ(a,z) for Ra>0 and z∈C. We derive several convergent expansions of z−aγ(a,z) in terms of exponentials and rational functions of z that hold uniformly in z with Rz bounded from below. These expansions, multiplied by ez, are expansions of ezz−aγ(a,z) uniformly convergent in z with Rz bounded from above. The expansions are accompanied by realistic error bounds.15 p.application/pdfengIncomplete gamma functionsConvergent expansionsUniform expansionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess