Zero distribution for Angelesco Hermite–Padé polynomials
From MaRDI portal
Publication:4558117
DOI10.1070/RM9832zbMath1408.30005arXiv1712.07055MaRDI QIDQ4558117
Publication date: 21 November 2018
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07055
Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)
Related Items
Planar orthogonal polynomials as Type II multiple orthogonal polynomials ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ On an example of the 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 ⋮ Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions ⋮ The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface
Cites Work
- Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials
- Method of interior variations and existence of \(S\)-compact sets
- Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials
- Weighted extremal domains and best rational approximation
- On polynomial eigenfunctions for a class of differential operators
- Capacity of a compact set in a logarithmic potential field
- On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
- Asymptotics of Hermite-Padé approximants for two functions with branch points
- Asymptotics of diagonal Hermite-Padé polynomials
- Asymptotics of generalized Jacobi polynomials
- Orthogonal polynomials with complex-valued weight function. I
- Orthogonal polynomials with complex-valued weight function. II
- Hermite-Padé approximants to functions meromorphic on a Riemann surface
- Orthogonal polynomials and Padé approximants associated with a system of arcs
- Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials
- Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses
- On the convergence of type I Hermite-Padé approximants
- Rational approximation of analytic functions
- Phase transitions and equilibrium measures in random matrix models
- Extremal polynomials associated with a system of curves in the complex plane
- Convergent interpolation to Cauchy integrals over analytic arcs
- Convergence of multipoint Padé approximants of piecewise analytic functions
- Variation of the equilibrium energy and theS-property of stationary compact sets
- Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures
- The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions
- An analogue of Polya's theorem for piecewise holomorphic functions
- Zero distribution of Hermite-Padé polynomials and localization of branch points of multivalued analytic functions
- Distribution of the zeros of Padé polynomials and analytic continuation
- Distribution of the zeros of Hermite-Padé polynomials
- The asymptotics of Hermite-Padé polynomials for two Markov-type functions
- Asymptotics of Type I Hermite–Padé Polynomials for Semiclassical Functions
- Extremal domains associated with an analytic function I
- Extremal domains associated with an analytic function II
- The structure of extremal domains associated with an analytic function
- Asymptotics of Hermite-Pade Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)
- Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
- On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials
- On the equilibrium problem for vector potentials
- EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
- EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
- ON A CLASS OF POLYNOMIALS DEFINED BY TWO ORTHOGONALITY RELATIONS
- Hermite-Pade approximants for systems of Markov-type functions
- On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials
- Convergence of m-point Padé approximants of a tuple of multivalued analytic functions
- Families of vector measures which are equilibrium measures in an external field
- On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions
- Padé approximants, continued fractions, and orthogonal polynomials
- The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system
- Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later
- Orthogonal Polynomials and 𝑆-curves
- Weakly admissible vector equilibrium problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item