2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154398The wardian solution of any $ψ$-difference linear nonhomogeneous equation is found in the framework of the generalized finite operator calculus . Specifications to $q$-calculus case and the new one fibonomial calculus case are made explicit.CombinatoricsDiscrete Mathematics05A40, 11B39, 11B137On $ψ$-basic bernoulli-wardian polynomialstext