On the values of some functions satisfying homogeneous differential equations
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 104-112

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In this paper we consider hypergeometric functions and their derivatives (including with respect to parameter). By means of a new construction of homogeneous simultaneous approximations low estimate of the modulus of linear form in the values of such functions is obtained.
Mots-clés : Padé approximations of the second type
Keywords: generalized hypergeometric functions, differentiation with respect to parameter, low estimates of linear forms.
P. L. Ivankov. On the values of some functions satisfying homogeneous differential equations. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 104-112. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a7/
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