Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 527-537
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Yu. N. Makarov. Padé-approximations to solutions of differential equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 527-537. http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a9/
@article{FPM_1999_5_2_a9,
author = {Yu. N. Makarov},
title = {Pad\'e-approximations to solutions of differential equations},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {527--537},
year = {1999},
volume = {5},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a9/}
}
TY - JOUR
AU - Yu. N. Makarov
TI - Padé-approximations to solutions of differential equations
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1999
SP - 527
EP - 537
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a9/
LA - ru
ID - FPM_1999_5_2_a9
ER -
%0 Journal Article
%A Yu. N. Makarov
%T Padé-approximations to solutions of differential equations
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1999
%P 527-537
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a9/
%G ru
%F FPM_1999_5_2_a9
The Padé–Hermite's approximations to solutions of linear homogeneous differential equations of the second order with coefficients — rational functions in $z$ are found. We use only the general properties of differential and recurrent equations but not the explicit form of these solutions.