Geodesic
О значениях продифференцированных по параметру гипергеометрических функций
Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 64-70.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider linear independence of the values of hypergeometric functions with irrational parameter; some of these functions are differentiated with respect to parameter. The corresponding theorem is proved by means of the effective construction of Padé approximation for such functions.
Keywords: hypergeometric functions, differentiation with respect to parameter, linear independence of the values, irrational parameters. 
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     journal = {\v{C}eby\v{s}evskij sbornik},
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P. L. Ivankov. О значениях продифференцированных по параметру гипергеометрических функций. Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 64-70. http://geodesic.mathdoc.fr/item/CHEB_2012_13_2_a8/

[1] Shidlovskii A. B., Transtsendentnye chisla, Nauka, M., 1987 | MR

[2] Ivankov P. L., “O znacheniyakh gipergeometricheskikh funktsii s razlichnymi irratsionalnymi parametrami”, Fundamentalnaya i prikladnaya matematika, 11:6 (2005), 65–72 | MR