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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 8 scientific papers (total in 8 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 (8)
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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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  • https://www.mathnet.ru/eng/mzm12451
  • https://doi.org/10.4213/mzm12451
  • https://www.mathnet.ru/eng/mzm/v106/i6/p904
    • This publication is cited in the following 8 articles:
    1. S. P. Suetin, “O skalyarnykh podkhodakh k izucheniyu predelnogo raspredeleniya nulei mnogochlenov Ermita–Pade dlya sistemy Nikishina”, UMN, 80:1(481) (2025), 85–152  mathnet  crossref
    2. N. R. Ikonomov, S. P. Suetin, “Struktura nattollovskogo razbieniya dlya nekotorogo klassa chetyrekhlistnykh rimanovykh poverkhnostei”, Tr. MMO, 83, no. 1, MTsNMO, M., 2022, 37–61  mathnet
    3. V. G. Lysov, “Mnogourovnevye interpolyatsii dlya obobschennoi sistemy Nikishina na grafe-dereve”, Tr. MMO, 83, no. 2, MTsNMO, M., 2022, 345–361  mathnet
    4. N. R. Ikonomov, S. P. Suetin, “Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces”, Trans. Moscow Math. Soc., 2022, –  mathnet  mathnet  crossref
    5. V. G. Lysov, “Multilevel interpolations for the generalized Nikishin system on a tree graph”, Trans. Moscow Math. Soc., –  mathnet  mathnet  crossref
    6. N. R. Ikonomov, S. P. Suetin, “A Viskovatov algorithm for Hermite-Padé polynomials”, Sb. Math., 212:9 (2021), 1279–1303  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. N. R. Ikonomov, S. P. Suetin, “Scalar Equilibrium Problem and the Limit Distribution of Zeros of Hermite–Padé Polynomials of Type II”, Proc. Steklov Inst. Math., 309 (2020), 159–182  mathnet  crossref  crossref  mathscinet  isi  elib
    8. V. G. Lysov, “Mixed Type Hermite–Padé Approximants for a Nikishin System”, Proc. Steklov Inst. Math., 311 (2020), 199–213  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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