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Sbornik: Mathematics, 2018, Volume 209, Issue 7, Pages 1019–1050
DOI: https://doi.org/10.1070/SM8889 (Mi sm8889) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Riemann-Hilbert analysis for a Nikishin system

G. López Lagomasinoa, W. Van Asscheb

a Departamento de Matemáticas, Universidad Carlos III de Madrid, Madrid, Spain
b Department of Mathematics, Katholieke Universiteit Leuven, Leuven, Belgium
English version PDF (715 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM8889
Abstract: In this paper we give the asymptotic behaviour of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert problem for multiple orthogonal polynomials and steepest descent analysis for oscillatory Riemann-Hilbert problems to obtain the asymptotic behaviour in all the relevant regions of the complex plane.
Bibliography: 38 titles.
Keywords: multiple orthogonal polynomials, Riemann-Hilbert problem, Hermite-Padé approximations, asymptotic.
Funding agency Grant number
Ministerio de Economía y Competitividad MTM 2015-65888-C4-2-P
KU Leuven OT/12/073
Fonds Wetenschappelijk Onderzoek G.0864.13
G.0864.16N
G. López Lagomasino's research was supported by the Ministerio de Economía y Competitividad, Spain (grant MTM2015-65888-C4-2-P). W. Van Assche's research was supported by the Katholieke Universiteit Leuven (grant OT/12/073) and the Fonds Wetenschappelijk Onderzoek (projects G.0934.13, G.0864.16N).
Received: 21.12.2016 and 06.12.2017
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 7, Pages 106–138
DOI: https://doi.org/10.4213/sm8889
Bibliographic databases:
Document Type: Article
UDC: 517.538.3+517.538.7
MSC: 30E10, 30E25, 41A21, 42C05
Language: English
Original paper language: Russian
Citation: G. López Lagomasino, W. Van Assche, “Riemann-Hilbert analysis for a Nikishin system”, Mat. Sb., 209:7 (2018), 106–138; Sb. Math., 209:7 (2018), 1019–1050
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:38
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