2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59378We are concerned with the Sturm-Liouville problem on the half line. We show that when the potential $q$ is subject only to power decay at infinity the $L^2$ solution may be continued into a sector of the so-called un-physical sheet. This gives rise to resonance free regions and the numerical estimation of resonances outside these regions.Spectral Theory34Lxx;34Exxtext