RT Journal Article
T1 Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems
A1 Aptekarev, A. I.
A1 López Lagomasino, Guillermo
A1 Álvarez Rocha, Ignacio
AB The existence of ratio asymptotics is proved for a sequence of multiple orthogonal polynomials with orthogonality relations distributed among a system of m finite Borel measures with support on a bounded interval of the real line which form a so-called Nikishin system. For m=1 this result reduces to Rakhmanov's celebrated theorem on the ratio asymptotics for orthogonal polynomials on the real line.
PB Turpion Ltd.
SN 1064-5616
YR 2005
FD 2005-08
LK https://hdl.handle.net/10016/6293
UL https://hdl.handle.net/10016/6293
LA eng
NO 19 pages, no figures.-- MSC2000 codes: Primary 42C05, 41A21.-- Originally published in Russian language by the Russian Academy of Mathematics in: Matematicheskii Sbornik 196(8): 3–20 (2005).
NO Zbl#: Zbl 1077.42015
NO The research of the first author was carried out with the support of the Russian Foundation forBasic Research (grant no. 02-01-00564), the Programme of Support of Leading Scientific Schoolsof RF (grant no. NSh-1551.2003.1), the RAS Programme ‘Current Problems of Theoretical Mathematics’, INTAS (grant no. 03-516637) and NATO PST.CLG (grant no. 979738). The researchof the second author was carried out with the support of INTAS (grant no. 03-516637), NATOPST.CLG (grant no. 979738), and BFM (grant no. 2003-06335-C03-02). The research of the thirdauthor was carried out with the support BFM (grant no. 2003-06335-C03-02).
DS e-Archivo
RD 27 jul. 2024