On some potential-theoretic problems related to the asymptotics of Hermite--Pad\'e polynomials
Sbornik. Mathematics, Tome 215 (2024) no. 8, pp. 1053-1064

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

Some mixed potential-theoretic equilibrium problems are treated. These problems are motivated by the asymptotic properties of rational approximants based on type II Hermite–Padé polynomials for Nikishin systems of functions. Bibliography: 26 titles.
Keywords: potential-theoretic problems, mixed potentials, Hermite–Padé polynomials, Nikishin system, Riemann surface.
@article{SM_2024_215_8_a2,
     author = {N. R. Ikonomov and S. P. Suetin},
     title = {On some potential-theoretic problems related to the asymptotics of {Hermite--Pad\'e} polynomials},
     journal = {Sbornik. Mathematics},
     pages = {1053--1064},
     publisher = {mathdoc},
     volume = {215},
     number = {8},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2024_215_8_a2/}
}
TY  - JOUR
AU  - N. R. Ikonomov
AU  - S. P. Suetin
TI  - On some potential-theoretic problems related to the asymptotics of Hermite--Pad\'e polynomials
JO  - Sbornik. Mathematics
PY  - 2024
SP  - 1053
EP  - 1064
VL  - 215
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2024_215_8_a2/
LA  - en
ID  - SM_2024_215_8_a2
ER  - 
%0 Journal Article
%A N. R. Ikonomov
%A S. P. Suetin
%T On some potential-theoretic problems related to the asymptotics of Hermite--Pad\'e polynomials
%J Sbornik. Mathematics
%D 2024
%P 1053-1064
%V 215
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2024_215_8_a2/
%G en
%F SM_2024_215_8_a2
N. R. Ikonomov; S. P. Suetin. On some potential-theoretic problems related to the asymptotics of Hermite--Pad\'e polynomials. Sbornik. Mathematics, Tome 215 (2024) no. 8, pp. 1053-1064. http://geodesic.mathdoc.fr/item/SM_2024_215_8_a2/