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Mat. Zametki, 2009, Volume 85, Issue 2, Pages 189–203 (Mi mz4122)  

This article is cited in 4 scientific papers (total in 4 papers)

Multipoint Padé Approximations of the Beta Function

A. A. Kandayan

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We study multipoint rational approximations with free poles for the beta function. The denominators of the approximations satisfy orthogonality relations with variable weight with respect to a discrete measure. We obtain the limit distribution of zeros of the denominators. A potential-theoretic interpretation of the results obtained is given.

Keywords: beta function, Padé approximation, logarithmic potential theory, Rakhmanov's equilibrium problem, Rodrigues' formula, Cauchy transform

DOI: https://doi.org/10.4213/mzm4122

Full text: PDF file (475 kB)
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English version:
Mathematical Notes, 2009, 85:2, 176–189

Bibliographic databases:

UDC: 517.51
Received: 22.10.2007
Revised: 23.01.2008

Citation: A. A. Kandayan, “Multipoint Padé Approximations of the Beta Function”, Mat. Zametki, 85:2 (2009), 189–203; Math. Notes, 85:2 (2009), 176–189

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. N. Sorokin, “Generalized Pollaczek polynomials”, Sb. Math., 200:4 (2009), 577–595  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. A. A. Kandayan, V. N. Sorokin, “Multipoint Hermite–Padé Approximations for Beta Functions”, Math. Notes, 87:2 (2010), 204–217  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. Lukashov A., Akal C., “Determinant Form and a Test of Convergence for the Newton-Pade Approximations”, J. Comput. Anal. Appl., 15:1 (2013), 55–64  mathscinet  zmath  isi  elib
    4. A. A. Kandayan, V. N. Sorokin, “Asymptotics of Multipoint Hermite–Padé Approximants of the First Type for Two Beta Functions”, Math. Notes, 101:6 (2017), 984–993  mathnet  crossref  crossref  mathscinet  isi  elib
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