Joint approximations of the square root, logarithm, and arcsine functions / V. N. Sorokin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 2. P. 65-69 Moscow Univ. Math. Bulletin. Vol. 64, N 2, 2009. P. 80-83].

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.