2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106312For a finite mean supercriticial Bellman-Harris process, there exist numbers $χ_t$ (the Seneta constants) such that $χ_t$ times the size of the population at time $t$ converges almost surely to a non-degenerate limit. We obtain a characterisation of the slowly varying part of the Seneta constants under the assumption that the life-time distribution of particles is strongly non-lattice.8 pages, final part of proof rewrittenProbability60J80text