2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/43758A comprehensive review is presented of the progress made in further developing the ghost-free Analytic Approach to low-energy QCD since "QCD-97" meeting. It is now formulated as a logically closed ``Analytic Perturbation Theory" algorithm. Its most essential feature is nonpower functional expansions for QCD observables.6 pages, LaTeX; Text prepared for publication in proceedings of QCD-2004 meeting (Montpellier, July '04)High Energy Physics - Phenomenologytext