On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials

DOI10.1070/RM9769zbMath1379.42011arXiv1403.3729OpenAlexW2963346675MaRDI QIDQ4596556

Alexander I. Aptekarev, Guillermo López Lagomasino, Andrei Martínez-Finkelshtein

Publication date: 1 December 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3729

zbMATH Keywords

vector equilibrium problemsmultiple orthogonal polynomialsHermite-Padé approximationweak asymptoticsNikishin systemsorthogonality with respect to a discrete measure

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21) Two-dimensional potential theory (31A99)

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Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Multipoint Padé approximation of the psi function ⋮ Variational principle for multidimensional conservation laws and pressureless media ⋮ Multiple Askey–Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials ⋮ Direct and inverse problems for vector logarithmic potentials with external fields ⋮ Potentials on a compact Riemann surface ⋮ Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials ⋮ Asymptotic behaviour of the information entropy of hydrogen-like quantum systems

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