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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 272–279
DOI: https://doi.org/10.1134/S037196851503022X (Mi tm3645) 		 
This article is cited in 25 scientific papers (total in 25 papers)

On equilibrium problems related to the distribution of zeros of the Hermite–Padé polynomials

V. I. Buslaev, S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (196 kB) Citations (25)
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DOI: https://doi.org/10.1134/S037196851503022X
Abstract: We study two potential-theory equilibrium problems that arise naturally in the theory of the limit distribution of zeros of the Hermite–Padé polynomials. We analyze the relationship between these problems and prove that the equilibrium measure for one of the problems is the balayage of the equilibrium measure for the other problem.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 256–263
DOI: https://doi.org/10.1134/S008154381506022X
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: V. I. Buslaev, S. P. Suetin, “On equilibrium problems related to the distribution of zeros of the Hermite–Padé polynomials”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 272–279; Proc. Steklov Inst. Math., 290:1 (2015), 256–263
Citation in format AMSBIB
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\paper On equilibrium problems related to the distribution of zeros of the Hermite--Pad\'e polynomials
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\bookinfo Collected papers
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\yr 2015
\vol 290
\pages 272--279
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 25 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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