Resumen de Incomplete Padé approximation and convergence of row sequences of Hermite�Padé approximants

Junot Cacoq, Bernardo de la Calle Ysern , Guillermo Tomás López Lagomasino

• We give a Montessus de Ballore type theorem for row sequences of Hermite�Pad´e approximations of vector valued analytic functions refining some results in this direction due to P.R. Graves-Morris and E.B. Saff.We do this introducing the notion of incomplete Pad´e approximation which contains, in particular, simultaneous Pad´e approximation and may be applied in the study of other systems of approximants as well.