Geodesic
On~the convergence of Pad\'e approximants
Sbornik. Mathematics, Tome 21 (1973) no. 1, pp. 155-166

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

It is shown that if a function $f$ analytic at zero is similar to the rational functions ($f\in R^0$), the corresponding diagonal Padé sequence $\{\pi_n\}$ converges to $f$ in capacity inside of its natural domain of existence $W_f$. Bibliography: 15 titles. 
@article{SM_1973_21_1_a7,
     author = {A. A. Gonchar},
     title = {On~the convergence of {Pad\'e} approximants},
     journal = {Sbornik. Mathematics},
     pages = {155--166},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_1_a7/}
}
TY  - JOUR
AU  - A. A. Gonchar
TI  - On~the convergence of Pad\'e approximants
JO  - Sbornik. Mathematics
PY  - 1973
SP  - 155
EP  - 166
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1973_21_1_a7/
LA  - en
ID  - SM_1973_21_1_a7
ER  - 
%0 Journal Article
%A A. A. Gonchar
%T On~the convergence of Pad\'e approximants
%J Sbornik. Mathematics
%D 1973
%P 155-166
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1973_21_1_a7/
%G en
%F SM_1973_21_1_a7
A. A. Gonchar. On~the convergence of Pad\'e approximants. Sbornik. Mathematics, Tome 21 (1973) no. 1, pp. 155-166. http://geodesic.mathdoc.fr/item/SM_1973_21_1_a7/