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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 259–275
DOI: https://doi.org/10.1134/S037196851802019X (Mi tm3908) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On a new approach to the problem of distribution of zeros of Hermite–Padé polynomials for a Nikishin system

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (279 kB) Citations (12)
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DOI: https://doi.org/10.1134/S037196851802019X
Abstract: A new approach to the problem of the zero distribution of type I Hermite–Padé polynomials for a pair of functions $f_1,f_2$ forming a Nikishin system is discussed. Unlike the traditional vector approach, we give an answer in terms of a scalar equilibrium problem with harmonic external field which is posed on a two-sheeted Riemann surface.
Keywords: Hermite–Padé polynomials, non-Hermitian orthogonal polynomials, distribution of zeros.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07531
This work was supported in part by the Russian Foundation for Basic Research, project no. 15-01-07531.
Received: November 24, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 245–261
DOI: https://doi.org/10.1134/S0081543818040193
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: S. P. Suetin, “On a new approach to the problem of distribution of zeros of Hermite–Padé polynomials for a Nikishin system”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 259–275; Proc. Steklov Inst. Math., 301 (2018), 245–261
Citation in format AMSBIB
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\paper On a~new approach to the problem of distribution of zeros of Hermite--Pad\'e polynomials for a~Nikishin system
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\pages 259--275
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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