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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009 Number 2, Pages 65–69 (Mi vmumm864)

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

V. N. Sorokin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 517.53

Received: 16.06.2008



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