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Matematicheskie Zametki, 2019, Volume 106, Issue 6, Pages 904–916
DOI: https://doi.org/10.4213/mzm12451 (Mi mzm12451) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (711 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm12451
Abstract: We prove the equivalence of a vector and a scalar equilibrium problem that naturally arise when studying the limit distribution of zeros of type I Hermite–Padé polynomials for a pair of functions forming a Nikishin system.
Keywords: Nikishin system, Hermite–Padé polynomials, equilibrium problem, potential theory, Riemann surface.
Funding agency Grant number
Russian Science Foundation 19-11-00316
This work was supported by the Russian Science Foundation under grant 19-11-00316.
Received: 17.05.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 970–979
DOI: https://doi.org/10.1134/S0001434619110336
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. P. Suetin, “Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System”, Mat. Zametki, 106:6 (2019), 904–916; Math. Notes, 106:6 (2019), 970–979
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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