Geodesic
On linear independence of the values of some functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 191-206.

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Arithmetical properties of the values of hypergeometric functions satisfying a homogeneous differential equation are under consideration. Using an effective construction of Pade approximation of the second kind it is possible to take into account specific character of the homogeneous case. 
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P. L. Ivankov. On linear independence of the values of some functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 191-206. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a9/

[1] C. Osgood, “Some theorems on diophantine approximations”, Trans. Amer. Math. Soc., 123 (1966), 64–87 | DOI | MR | Zbl

[2] A. I. Galochkin, “Otsenki snizu lineinykh form ot znachenii nekotorykh gipergeometricheskikh funktsii”, Matematicheskie zametki, 8:1 (1970), 19–28 | Zbl

[3] P. L. Ivankov, “Otsenki snizu lineinykh form ot znachenii funktsii Kummera s irratsionalnym parametrom”, Matematicheskie zametki, 49:2 (1991), 55–63 | MR | Zbl

[4] P. L. Ivankov, “Ob arifmeticheskikh svoistvakh znachenii gipergeometricheskikh funktsii”, Matem. sbornik, 182:2 (1991), 283–302 | MR

[5] G. V. Chudnovsky, “Padé approximations to the generalized hypergeometric functions. I”, J. math. pures et appl., Ser. 9, 58:4 (1979), 445–476 | MR | Zbl

[6] A. I. Galochkin, “Ob arifmeticheskikh svoistvakh znachenii nekotorykh tselykh gipergeometricheskikh funktsii”, Sib. matem. zhurnal., 17:6 (1976), 1220–1235 | MR | Zbl

[7] I. V. Proskuryakov, Sbornik zadach po lineinoi algebre, Nauka, M., 1984 | Zbl

[8] A. G. Kurosh, Kurs vysshei algebry, Nauka, M., 1968 | Zbl