2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170385We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges.Complex Variables46G20; 32E30; 41A05; 41A10text