Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 235-256
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A. A. Chilikov. Taylor power series of algebraic functions over fields of positive characteristics. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 235-256. http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a12/
@article{FPM_2001_7_1_a12,
author = {A. A. Chilikov},
title = {Taylor power series of algebraic functions over fields of positive characteristics},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {235--256},
year = {2001},
volume = {7},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a12/}
}
TY - JOUR
AU - A. A. Chilikov
TI - Taylor power series of algebraic functions over fields of positive characteristics
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 235
EP - 256
VL - 7
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a12/
LA - ru
ID - FPM_2001_7_1_a12
ER -
%0 Journal Article
%A A. A. Chilikov
%T Taylor power series of algebraic functions over fields of positive characteristics
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 235-256
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a12/
%G ru
%F FPM_2001_7_1_a12
In this work we show algorithmical solvability for the problem of calculation of the Taylor power series for an algebraic function over a field of positive characteristics. An efficient algorithm for construction of a finite automaton solving this problem is given.
