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Matematicheskie Zametki, 2021, Volume 110, Issue 4, Pages 584–591
DOI: https://doi.org/10.4213/mzm13097 (Mi mzm13097) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multipoint Padé Approximation of the Psi Function

V. N. Sorokinab

a Lomonosov Moscow State University
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
Full-text PDF (476 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13097
Abstract: The Newton interpretation of the psi function by rational functions with free poles is studied. A discrete formula for the Rodrigues determinants is obtained and the limit distribution of their zeros is found. The corresponding equilibrium problem of the theory of logarithmic potential is obtained.
Keywords: saddle-point method, equilibrium problem.
Funding agency Grant number
Russian Science Foundation 19-71-30004
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1623
This work was supported by the Moscow Center of Fundamental and Applied Mathematics, by the Ministry of Science and Higher Education of the Russian Federation (grant no. 075-15-2019-1623), and by the Russian Science Foundation under grant 19-71-30004 (Section 5 of the paper).
Received: 09.04.2021
Revised: 02.07.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 4, Pages 571–577
DOI: https://doi.org/10.1134/S0001434621090273
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: V. N. Sorokin, “Multipoint Padé Approximation of the Psi Function”, Mat. Zametki, 110:4 (2021), 584–591; Math. Notes, 110:4 (2021), 571–577
Citation in format AMSBIB
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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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