2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123680We present some classes of functions that are defined on the quaternions as solutions for a linear operator that resembles the Cauchy-Riemann conditions. Unlike the Fueter regular functions; in this case the identity function is a solution and solutions are closed under the quaternionic product.Analysis of PDEsMathematical Physicstext