Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems

Aptekarev, A. I.; López Lagomasino, Guillermo; Álvarez Rocha, Ignacio

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Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems

Author(s): Aptekarev, A. I.; López Lagomasino, Guillermo; Álvarez Rocha, Ignacio

Publisher: Turpion Ltd.

Issued date: 2005-08

Citation: Sbornik Mathematics c/c of Matematicheskii Sbornik, 2005, vol. 196, n. 8, p. 1089-1107

ISSN: 1064-5616

DOI: 10.1070/SM2005v196n08ABEH002329

Sponsor: The research of the first author was carried out with the support of the Russian Foundation for Basic Research (grant no. 02-01-00564), the Programme of Support of Leading Scientific Schools of 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 research of the second author was carried out with the support of INTAS (grant no. 03-516637), NATO PST.CLG (grant no. 979738), and BFM (grant no. 2003-06335-C03-02). The research of the third author was carried out with the support BFM (grant no. 2003-06335-C03-02).

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1070/SM2005v196n08ABEH002329

Keywords: Hermite-Padé orthogonal polynomials , Multiple orthogonal polynomials , Nikishin system , Varying measures , Ratio asymptotic

URI: http://hdl.handle.net/10016/6293

Rights: © Turpion Ltd.

Abstract:

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 Nikishi [+]

Description:

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).

Zbl#: Zbl 1077.42015

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