2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158806The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of $Γ(x)$. Furthermore, it also determines differential transcendency of solution of some functional equations.General MathematicsLogic65L80, 34A09, 12H05text