Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 29-40
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V. Kh. Salikhov. The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 29-40. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a3/
@article{MZM_1973_13_1_a3,
author = {V. Kh. Salikhov},
title = {The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations},
journal = {Matemati\v{c}eskie zametki},
pages = {29--40},
year = {1973},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a3/}
}
TY - JOUR
AU - V. Kh. Salikhov
TI - The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations
JO - Matematičeskie zametki
PY - 1973
SP - 29
EP - 40
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a3/
LA - ru
ID - MZM_1973_13_1_a3
ER -
%0 Journal Article
%A V. Kh. Salikhov
%T The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations
%J Matematičeskie zametki
%D 1973
%P 29-40
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a3/
%G ru
%F MZM_1973_13_1_a3
In this paper we prove a general theorem on the algebraic independence of the values, at algebraic points, of a set of $E$-functions each of which satisfies a first-order linear differential equation with polynomial coefficients.
