Geodesic
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.
Keywords: Padé approximations of the second type, generalized hypergeometric functions, differentiation with respect to parameter, low estimates of linear forms. 
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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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