Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 2, Pages 65–69 (Mi vmumm864)  
Short notes

Joint approximations of the square root, logarithm, and arcsine functions

V. N. Sorokin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (236 kB)
Abstract: Hermite–Pade approximations are constructed for three functions: the square root, logarithm, and arcsine. The Rodrigues formula is presented. An estimate of the measure of linear independence for values of these functions at natural points is obtained.
Key words: Rodrigues formula, Diophantine approximations.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00317
Ministry of Education and Science of the Russian Federation НШ--3906.2008.1
Received: 16.06.2008
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: V. N. Sorokin, “Joint approximations of the square root, logarithm, and arcsine functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2, 65–69
Citation in format AMSBIB
\Bibitem{Sor09}
\by V.~N.~Sorokin
\paper Joint approximations of the square root, logarithm, and arcsine functions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 2
\pages 65--69
\mathnet{http://mi.mathnet.ru/vmumm864}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543176}
\zmath{https://zbmath.org/?q=an:1304.11061}
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