Geodesic
On algebraic independence of some subclasses of hypergeometric functions
Matematičeskie zametki, Tome 55 (1994) no. 1, pp. 117-129.

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

@article{MZM_1994_55_1_a12,
     author = {M. A. Cherepnev},
     title = {On algebraic independence of some subclasses of hypergeometric functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {117--129},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a12/}
}
TY  - JOUR
AU  - M. A. Cherepnev
TI  - On algebraic independence of some subclasses of hypergeometric functions
JO  - Matematičeskie zametki
PY  - 1994
SP  - 117
EP  - 129
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a12/
LA  - ru
ID  - MZM_1994_55_1_a12
ER  - 
%0 Journal Article
%A M. A. Cherepnev
%T On algebraic independence of some subclasses of hypergeometric functions
%J Matematičeskie zametki
%D 1994
%P 117-129
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a12/
%G ru
%F MZM_1994_55_1_a12
M. A. Cherepnev. On algebraic independence of some subclasses of hypergeometric functions. Matematičeskie zametki, Tome 55 (1994) no. 1, pp. 117-129. http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a12/

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

[2] Siegel C. L., Transcedental numbers, Princeton University Press, Princeton, 1949

[3] Salikhov V. Kh., “Formalnye resheniya lineinykh differentsialnykh uravnenii i ikh primenenie v teorii transtsendentnykh chisel”, Trudy MMO, 51, Nauka, M., 1988, 223–256

[4] Salikhov V. Kh., “Neprivodimost gipergeometricheskikh uravnenii i algebraicheskaya nezavisimost $E$-funktsii”, Acta Arithmetica, LIII:5 (1990), 453–471 | MR

[5] Salikhov V. Kh., “O neprivodimosti odnogo klassa gipergeometricheskikh uravnenii”, Vestnik MGU. Ser. 1. Matematika, mekhanika, 1989, no. 4, 7–10 | MR

[6] Salikhov V. Kh., “Kriterii algebraicheskoi nezavisimosti znachenii odnogo klassa gipergeometricheskikh $E$-funktsii”, Mat. sb., 181:2 (1990), 189–212

[7] Beukers F., Brownawell W. D., Hekman G., “Siegel normality”, Ann. of Math., 127 (1988), 297–308 | DOI | MR

[8] Nesterenko Yu. V., “Ob algebraicheskoi nezavisimosti znachenii $E$-funktsii, udovletvoryayuschikh lineinym neodnorodnym differentsialnym uravneniyam”, Matem. zametki, 5:5 (1969), 587–598 | MR | Zbl