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