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Matematicheskie Zametki, 2009, Volume 85, Issue 5, Pages 782–787
DOI: https://doi.org/10.4213/mzm5260 (Mi mzm5260) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A System of Recurrence Relations for Rational Approximations of the Euler Constant

D. N. Tulyakov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (410 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm5260
Abstract: We obtain the system of recurrence relations for rational approximations of the Euler constant generalizing the recurrence relations obtained earlier by Aptekarev with coauthors. The leading coefficient of the recurrence relations of this system is 1, which can be used to verify that the generated numbers are integers.
Keywords: Euler constant, rational approximation, multiple orthogonal polynomials, Rodrigues formula.
Received: 09.07.2008
Revised: 20.10.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 5, Pages 746–750
DOI: https://doi.org/10.1134/S0001434609050150
Bibliographic databases:
UDC: 517
Language: Russian
Citation: D. N. Tulyakov, “A System of Recurrence Relations for Rational Approximations of the Euler Constant”, Mat. Zametki, 85:5 (2009), 782–787; Math. Notes, 85:5 (2009), 746–750
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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