RT Journal Article T1 Generalized Hermite-Padé approximation for Nikishin systems of three functions A1 Fidalgo Prieto, Ulises A1 López Lagomasino, Guillermo AB Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vector external field. PB Elsevier SN 0377-0427 YR 2010 FD 2010-01-15 LK https://hdl.handle.net/10016/6265 UL https://hdl.handle.net/10016/6265 LA eng NO 9 pages, no figures.-- MSC1991 code: Primary 42C05.-- Issue title: "Special Functions, Information Theory, and Mathematical Physics". Special issue dedicated to Professor Jesús Sánchez Dehesa on the occasion of his 60th birthday. NO Zbl#: Zbl pre05650072 NO First author’s research supported by grants MTM 2006-13000-C03-02 from Ministerio de Ciencia y Tecnología and CCG 06–UC3M/ESP–0690 of Universidad Carlos III de Madrid-Comunidad de Madrid and by grant SFRH/BPD/31724/2006 from Fundação para a Ciência e a Tecnologia. Second author’s research supported by grants MTM 2006-13000-C03-02 from Ministerio de Ciencia y Tecnología and CCG 06–UC3M/ESP–0690 of Universidad Carlos III de Madrid-Comunidad de Madrid. DS e-Archivo RD 30 abr. 2024