Geodesic
On simultaneous approximations of some hypergeometric functions
Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 184-191

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In this paper we propose effective construction of simultaneous approximations for some hypergeometric functions of a special type and their derivatives with respect to parameter. This construction is made use of for the achievement of the lower estimates of numerical linear forms of the values of such functions. Some parameters of these functions can be irrational.
Keywords: hypergeometric functions, effective construction, simultaneous approximations, linear forms. 
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     author = {P. L. Ivankov},
     title = {On simultaneous approximations of some hypergeometric functions},
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P. L. Ivankov. On simultaneous approximations of some hypergeometric functions. Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 184-191. http://geodesic.mathdoc.fr/item/CHEB_2024_25_1_a14/