Incomplete Pad\'e approximation and convergence of row sequences of Hermite-Pad\'e approximants

Autor:	Cacoq, J., Ysern, B. de la Calle, Lagomasino, G. López
Rok vydání:	2011
Předmět:	Mathematics - Complex Variables 41A21 41A28 41A25
Druh dokumentu:	Working Paper
Popis:	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. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.2774 Zobrazit plný text záznamu View this record from Arxiv