Geodesic
Joint approximations of the square root, logarithm, and arcsine functions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 65-69

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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. 
@article{VMUMM_2009_2_a13,
     author = {V. N. Sorokin},
     title = {Joint approximations of the square root, logarithm, and arcsine functions},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {65--69},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a13/}
}
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V. N. Sorokin. Joint approximations of the square root, logarithm, and arcsine functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 65-69. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a13/