Geodesic
Poles of diagonal Pad\'e approximants and the analytic continuation of functions
Sbornik. Mathematics, Tome 39 (1981) no. 2, pp. 255-266

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

In this paper the authors study the connection between the asymptotic behavior of the poles of the diagonal Padé approximants of a function $f$ (given by its power series expansion) and the possibility of analytic continuation of $f$ into a corresponding domain. Bibliography: 8 titles. 
@article{SM_1981_39_2_a6,
     author = {A. A. Gonchar and K. N. Lungu},
     title = {Poles of diagonal {Pad\'e} approximants and the analytic continuation of functions},
     journal = {Sbornik. Mathematics},
     pages = {255--266},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {1981},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_39_2_a6/}
}
TY  - JOUR
AU  - A. A. Gonchar
AU  - K. N. Lungu
TI  - Poles of diagonal Pad\'e approximants and the analytic continuation of functions
JO  - Sbornik. Mathematics
PY  - 1981
SP  - 255
EP  - 266
VL  - 39
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1981_39_2_a6/
LA  - en
ID  - SM_1981_39_2_a6
ER  - 
%0 Journal Article
%A A. A. Gonchar
%A K. N. Lungu
%T Poles of diagonal Pad\'e approximants and the analytic continuation of functions
%J Sbornik. Mathematics
%D 1981
%P 255-266
%V 39
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1981_39_2_a6/
%G en
%F SM_1981_39_2_a6
A. A. Gonchar; K. N. Lungu. Poles of diagonal Pad\'e approximants and the analytic continuation of functions. Sbornik. Mathematics, Tome 39 (1981) no. 2, pp. 255-266. http://geodesic.mathdoc.fr/item/SM_1981_39_2_a6/