The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions

DOI10.1070/SM8448zbMath1361.30061arXiv1503.06620MaRDI QIDQ2957854

Evguenii A. Rakhmanov

Publication date: 30 January 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06620

zbMATH Keywords

Padé approximationrational approximation of analytic functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21) Rate of convergence, degree of approximation (41A25) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (7)

Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Numerical analytic continuation ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ Exponential node clustering at singularities for rational approximation, quadrature, and PDEs ⋮ Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Potentials on a compact Riemann surface

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