Geodesic
On the differentiation of a~hypergeometric function with respect to the parameter
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 91-94.

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

A new lower bound for integer-valued linear forms of values of certain hypergeometric functions is established. 
@article{FPM_2010_16_6_a6,
     author = {P. L. Ivankov},
     title = {On the differentiation of a~hypergeometric function with respect to the parameter},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {91--94},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a6/}
}
TY  - JOUR
AU  - P. L. Ivankov
TI  - On the differentiation of a~hypergeometric function with respect to the parameter
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2010
SP  - 91
EP  - 94
VL  - 16
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a6/
LA  - ru
ID  - FPM_2010_16_6_a6
ER  - 
%0 Journal Article
%A P. L. Ivankov
%T On the differentiation of a~hypergeometric function with respect to the parameter
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2010
%P 91-94
%V 16
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a6/
%G ru
%F FPM_2010_16_6_a6
P. L. Ivankov. On the differentiation of a~hypergeometric function with respect to the parameter. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 91-94. http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a6/

[1] Belogrivov I. I., “O transtsendentnosti i algebraicheskoi nezavisimosti znachenii nekotorykh $E$-funktsii”, Vestn. Mosk. un-ta. Ser. 1. Matematika, mekhanika, 1967, no. 2, 55–62 | MR | Zbl

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

[3] Ivankov P. L., “Ob arifmeticheskikh svoistvakh znachenii gipergeometricheskikh funktsii s razlichnymi parametrami”, Mat. zametki, 52:6 (1992), 25–31 | MR | Zbl

[4] Shidlovskii A. B., Diofantovy priblizheniya i transtsendentnye chisla, Izd-vo Mosk. un-ta, M., 1982 | MR | Zbl

[5] Mahler K., “Applications of a theorem by A. B. Shidlovski”, Proc. Roy. Soc. London Ser. A, 305 (1968), 149–173 | DOI | MR | Zbl