The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system
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Publication:5396967
DOI10.1070/SM2013v204n09ABEH004343zbMath1288.26010MaRDI QIDQ5396967
Sergey P. Suetin, Evguenii A. Rakhmanov
Publication date: 4 February 2014
Published in: Sbornik: Mathematics (Search for Journal in Brave)
orthogonal polynomialsdistribution of zerosHermite-Padé polynomialsNuttall condenserstationary compact set
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Real polynomials: location of zeros (26C10)
Related Items (16)
On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials ⋮ On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions ⋮ Hermite-Padé approximants for meromorphic functions on a compact Riemann surface ⋮ Distribution of zeros of the Hermite-Padé polynomials for a system of three functions, and the Nuttall condenser ⋮ On the convergence of type I Hermite-Padé approximants ⋮ S-curves in polynomial external fields ⋮ Riemann-Hilbert analysis for a Nikishin system ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system ⋮ Hyperelliptic uniformization of algebraic curves of the third order
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