2011/11/11 by J. Cacoq, Cacoq, J., B. de la Calle Ysern +3
Mathematics · #41A21 #41A25 #41A28 #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #math.CV #msc:41A21 #msc:41A25 #msc:41A28
paper · pdf · doi:10.48550/arxiv.1111.2774
20 pages
arxiv created 2011/11/11 · openalex publication_date 2011/11/11 · arxiv updated 2011/11/14 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We give a Montessus de Ballore type theorem for row sequences of Hermite-Padé 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 Padé approximation which contains, in particular, simultaneous Padé approximation and may be applied in the study of other systems of approximants as well.