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Sbornik: Mathematics, 2005, Volume 196, Issue 8, Pages 1089–1107
DOI: https://doi.org/10.1070/SM2005v196n08ABEH002329 (Mi sm1404) 		 
This article is cited in 38 scientific papers (total in 39 papers)

Ratio asymptotics of Hermite–Padé polynomials for Nikishin systems

A. I. Aptekareva, G. López Lagomasinob, I. Alvarez Rochac

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
b Carlos III University of Madrid
c Polytechnic University of Madrid
English version PDF (242 kB) Citations (39)
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DOI: https://doi.org/10.1070/SM2005v196n08ABEH002329
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 Nikishin system. For $m=1$ this result reduces to Rakhmanov's celebrated theorem on the ratio asymptotics for orthogonal polynomials on the real line.
Received: 18.10.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 8, Pages 3–20
DOI: https://doi.org/10.4213/sm1404
Bibliographic databases:
UDC: 517.53
MSC: 42C05, 41A21
Language: English
Original paper language: Russian
Citation: A. I. Aptekarev, G. López Lagomasino, I. Alvarez Rocha, “Ratio asymptotics of Hermite–Padé polynomials for Nikishin systems”, Mat. Sb., 196:8 (2005), 3–20; Sb. Math., 196:8 (2005), 1089–1107
Citation in format AMSBIB
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    • This publication is cited in the following 39 articles:
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