2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155030Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida's white noise space. The Fueter polynomials are replaced by a basis computed in terms of the Hermite functions, and the Cauchy-Kovalevskaya product is replaced by the Wick product.30 pagesProbabilityComplex Variables30G35, 26C15, 60H40, 47A99, 32A05text