2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60134In this paper a small survey is presented on eighteen new functions and four new sequences, such as: Inferior/Superior f-Part, Fractional f-Part, Complementary function with respect with another function, S-Multiplicative, Primitive Function, Double Factorial Function, S-Prime and S-Coprime Functions, Smallest Power Function.20 pagesGeneral Mathematics11A25; 11A67text