2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152436The notion of analyticity is studied in the context of hypercomplex numbers. A critical review of the problems arising from the conventional approach is given. We describe a local analyticity condition which yields the desired type of hypercomplex solutions. The result is the definition of a generalized complex analyticity to hypercomplex space. 02.10.Tq/Vr, 02.30.-f/Dk, 02.90.+p11 pages, RevTexFunctional AnalysisComplex Variablestext