2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166457We prove that a function f from Z_p to itself is analytic if and only if it can be represented as f(x)=F(x, dx, ..., d^r x) where dx=(x-x^p)/p is the Fermat quotient operator and F is a restricted power series with coefficients in Z_p.Number Theory11F85text