Asymptotics of Hermite-Pade Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)
From MaRDI portal
Publication:3532855
DOI10.1093/imrp/rpm007zbMath1156.41004arXiv0708.0946OpenAlexW3098365348MaRDI QIDQ3532855
Walter Van Assche, Alexander I. Aptekarev, Arno B. J. Kuijlaars
Publication date: 29 October 2008
Published in: International Mathematics Research Papers (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.0946
Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21) Asymptotic representations in the complex plane (30E15)
Related Items (22)
Critical measures for vector energy: global structure of trajectories of quadratic differentials ⋮ Double Scaling Limit for Modified Jacobi-Angelesco Polynomials ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis ⋮ Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight ⋮ The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions ⋮ Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses ⋮ The Mother Body Phase Transition in the Normal Matrix Model ⋮ Hermite-Padé approximants for meromorphic functions on a compact Riemann surface ⋮ Hermite-Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports ⋮ Stability of fractional order systems ⋮ Method of interior variations and existence of \(S\)-compact sets ⋮ Weighted extremal domains and best rational approximation ⋮ The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system ⋮ S-curves in polynomial external fields ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I ⋮ Equilibrium of vector potentials and uniformization of the algebraic curves of genus \(0\) ⋮ Riemann-Hilbert problem associated with Angelesco systems ⋮ Hyperelliptic uniformization of algebraic curves of the third order
This page was built for publication: Asymptotics of Hermite-Pade Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)