2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114979Herein, we present a canonical form for a natural and necessary generalization of the Lambert W function, natural in that it requires minimal mathematical definitions for this generalization, and necessary in that it provides a means of expressing solutions to a number of physical problems of fundamental nature. In particular, this generalization expresses the exact solutions for general-relativistic self-gravitating 2-body and 3-body systems in one spatial and one time dimension. It also expresses the solution to a previously unknown mathematical link between the lineal gravity problem and the Schroedinger equation.V1: A generalization to the Lambert W function is suggested with applications to quantum chemistry and general relativity. V2: Changed content/authors, references removedMathematical Physics33E30; 83C80; 81V55text