Geodesic
Inverse Results on Row Sequences of Hermite--Pad\'e Approximation
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 165-184

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

We consider row sequences of (type II) Hermite–Padé approximations with common denominator associated with a vector $\mathbf f$ of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of $\mathbf f$ and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Padé approximants.
Keywords: Hermite–Padé approximation, inverse type results. 
@article{TRSPY_2017_298_a11,
     author = {G. L\'opez Lagomasino and Y. Zaldivar Gerpe},
     title = {Inverse {Results} on {Row} {Sequences} of {Hermite--Pad\'e} {Approximation}},
     journal = {Informatics and Automation},
     pages = {165--184},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a11/}
}
TY  - JOUR
AU  - G. López Lagomasino
AU  - Y. Zaldivar Gerpe
TI  - Inverse Results on Row Sequences of Hermite--Pad\'e Approximation
JO  - Informatics and Automation
PY  - 2017
SP  - 165
EP  - 184
VL  - 298
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a11/
LA  - ru
ID  - TRSPY_2017_298_a11
ER  - 
%0 Journal Article
%A G. López Lagomasino
%A Y. Zaldivar Gerpe
%T Inverse Results on Row Sequences of Hermite--Pad\'e Approximation
%J Informatics and Automation
%D 2017
%P 165-184
%V 298
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a11/
%G ru
%F TRSPY_2017_298_a11
G. López Lagomasino; Y. Zaldivar Gerpe. Inverse Results on Row Sequences of Hermite--Pad\'e Approximation. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 165-184. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a11/