Geodesic
On Some Properties of Hermite--Pad\'e Approximants to an Exponential System
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 338-355

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

Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system $\{e^{\lambda _jz}\}_{j=0}^k$ with arbitrary different complex numbers $\lambda _0,\lambda _1,\dots ,\lambda _k$. The theorems proved in the paper complement and generalize the results obtained earlier by other authors.
Keywords: exponential system, asymptotic equalities
Mots-clés : Hermite–Padé approximants, zeros of a polynomial. 
@article{TRSPY_2017_298_a18,
     author = {A. P. Starovoitov and E. P. Kechko},
     title = {On {Some} {Properties} of {Hermite--Pad\'e} {Approximants} to an {Exponential} {System}},
     journal = {Informatics and Automation},
     pages = {338--355},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a18/}
}
TY  - JOUR
AU  - A. P. Starovoitov
AU  - E. P. Kechko
TI  - On Some Properties of Hermite--Pad\'e Approximants to an Exponential System
JO  - Informatics and Automation
PY  - 2017
SP  - 338
EP  - 355
VL  - 298
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a18/
LA  - ru
ID  - TRSPY_2017_298_a18
ER  - 
%0 Journal Article
%A A. P. Starovoitov
%A E. P. Kechko
%T On Some Properties of Hermite--Pad\'e Approximants to an Exponential System
%J Informatics and Automation
%D 2017
%P 338-355
%V 298
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a18/
%G ru
%F TRSPY_2017_298_a18
A. P. Starovoitov; E. P. Kechko. On Some Properties of Hermite--Pad\'e Approximants to an Exponential System. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 338-355. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a18/