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Trudy Moskovskogo Matematicheskogo Obshchestva, 2018, Volume 79, Issue 1, Pages 133–153 (Mi mmo611)  
This article is cited in 1 scientific paper (total in 1 paper)

Multipoint Hermite–Padé approximants for three beta functions

V. N. Sorokin

Faculty of Mechanics and Mathematics, Moscow State University
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Abstract: This paper is concerned with joint multipoint rational approximants with a common denominator for three beta functions. The limit distributions of the zeros of the denominators are obtained in terms of equilibrium logarithmic potentials and in terms of meromorphic functions on Riemann surfaces.
Key words and phrases: Hermite–Padé approximants, orthogonal polynomials, equilibrium problems, saddle-point method, algebraic function, Riemann surface.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
Russian Foundation for Basic Research 17-01-00614_а
Received: 26.10.2017
English version:
Transactions of the Moscow Mathematical Society, 2018, Pages 117–134
DOI: https://doi.org/10.1090/mosc/276
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30E10, 30C85, 33C47, 11J82
Language: Russian
Citation: V. N. Sorokin, “Multipoint Hermite–Padé approximants for three beta functions”, Tr. Mosk. Mat. Obs., 79, no. 1, MCCME, M., 2018, 133–153; Trans. Moscow Math. Soc., 2018, 117–134
Citation in format AMSBIB
\Bibitem{Sor18}
\by V.~N.~Sorokin
\paper Multipoint Hermite--Pad\'e approximants for three beta functions
\serial Tr. Mosk. Mat. Obs.
\yr 2018
\vol 79
\issue 1
\pages 133--153
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo611}
\elib{https://elibrary.ru/item.asp?id=37045088}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2018
\pages 117--134
\crossref{https://doi.org/10.1090/mosc/276}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85060931000}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Moskovskogo Matematicheskogo Obshchestva
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