2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152413Complex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it includes the standard complex definition and does not reduce analytic functions to a trivial class. A brief comparison with other definitions is presented.9 pages, LaTex, 1991 Mathematics Subject Classifications: 11R52, 30G35, 46S20Functional AnalysisComplex VariablesA New Definition of Hypercomplex Analyticitytext