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Matematicheskie Zametki, 2017, Volume 101, Issue 6, Pages 871–882
DOI: https://doi.org/10.4213/mzm10993 (Mi mzm10993) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of Multipoint Hermite–Padé Approximants of the First Type for Two Beta Functions

A. A. Kandayan, V. N. Sorokina

a Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10993
Abstract: The asymptotic behavior of the Hermite–Padé approximants of the first type for two beta functions are studied. The results are expressed in terms of equilibrium problems of logarithmic potential theory and in terms of meromorphic functions on Riemann surfaces.
Keywords: beta function, Hermite–Padé approximant, saddle-point method, Riemann surface, equilibrium potential.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07531-а
14-01-00604
The work of the first author was supported by the Russian Foundation for Basic Research under grant 15-01-07531-a. The work of the second author was supported by the Russian Foundation for Basic Research under grant 14-01-00604.
Received: 30.10.2015
English version:
Mathematical Notes, 2017, Volume 101, Issue 6, Pages 984–993
DOI: https://doi.org/10.1134/S000143461705025X
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: A. A. Kandayan, V. N. Sorokin, “Asymptotics of Multipoint Hermite–Padé Approximants of the First Type for Two Beta Functions”, Mat. Zametki, 101:6 (2017), 871–882; Math. Notes, 101:6 (2017), 984–993
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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