2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73933It is shown that discrete analogs of z^c and log(z) have the same asymptotic behavior as their smooth counterparts. These discrete maps are described in terms of special solutions of discrete Painleve-II equations, asymptotics of these solutions providing the behaviour of discrete z^c and log(z) at infinity.15 pages, 5 figuresComplex VariablesDynamical Systems52C26 Circle packings and discrete conformal geometrytext