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Matematicheskie Zametki, 2009, Volume 85, Issue 2, Pages 189–203
DOI: https://doi.org/10.4213/mzm4122 (Mi mzm4122) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Multipoint Padé Approximations of the Beta Function

A. A. Kandayan

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (475 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm4122
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.
Received: 22.10.2007
Revised: 23.01.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 2, Pages 176–189
DOI: https://doi.org/10.1134/S0001434609010210
Bibliographic databases:
UDC: 517.51
Language: Russian
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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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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