2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149367Quaternion analysis is considered in full details where a new analyticity condition in complete analogy to complex analysis is found. The extension to octonions is also worked out.RevTeX file; A new analyticity condition for quaternionic polynoimals has been givenHigh Energy Physics - TheoryQuaternion Analysistext