Geodesic
Refinement of estimates for some nonhomogeneous linear forms
Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 515-521 
P. L. Ivankov. Refinement of estimates for some nonhomogeneous linear forms. Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 515-521. http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a3/
@article{MZM_2005_77_4_a3,
     author = {P. L. Ivankov},
     title = {Refinement of estimates for some nonhomogeneous linear forms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {515--521},
     year = {2005},
     volume = {77},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a3/}
}
TY  - JOUR
AU  - P. L. Ivankov
TI  - Refinement of estimates for some nonhomogeneous linear forms
JO  - Matematičeskie zametki
PY  - 2005
SP  - 515
EP  - 521
VL  - 77
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a3/
LA  - ru
ID  - MZM_2005_77_4_a3
ER  - 
%0 Journal Article
%A P. L. Ivankov
%T Refinement of estimates for some nonhomogeneous linear forms
%J Matematičeskie zametki
%D 2005
%P 515-521
%V 77
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a3/
%G ru
%F MZM_2005_77_4_a3

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

In this paper, estimates for nonhomogeneous linear forms in values of hypergeometric functions with irrational parameters are refined. This refinement is carried out by means of an optimal choice of the degree of the zeroth polynomial appearing in the construction of approximate functional forms.

[1] Galochkin A. I., “O nekotorom analoge metoda Zigelya”, Vestn. MGU. Ser. 1. Matem., mekh., 1986, no. 2, 30–34 | Zbl

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