2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67796We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Hadamard products on singularities in the context of the complex Tauberian technique known as singularity analysis. As a consequence, it becomes possible to unify the analysis of a number of divide-and-conquer algorithms, or equivalently random tree models, including several classical methods for sorting, searching, and dynamically managing equivalence relations47 pages. Submitted for publicationCombinatoricsProbability05A16 (Primary); 40E99, 68W40 (Secondary)text