Orthogonal polynomials and Padé approximants associated with a system of arcs

DOI10.1016/0021-9045(77)90117-4zbMath0355.30004OpenAlexW2020394497MaRDI QIDQ1237179

K. Appert

Publication date: 1977

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90117-4

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items

Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials ⋮ On \(L_{\mathbb{R}}^2\)-best rational approximants to Markov functions on several intervals ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Freud equations for Legendre polynomials on a circular arc and solution of the Grünbaum-Delsarte-Janssen-Vries problem. ⋮ Toeplitz matrix techniques and convergence of complex weight Padé approximants ⋮ Inverse polynomial images are always sets of minimal logarithmic capacity ⋮ A representation and approximation of the solutions of hyperbolic differential equations ⋮ On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Mixed periodic Jacobi continued fractions ⋮ Convergent interpolation to Cauchy integrals over analytic arcs ⋮ The convergence of Padé approximants to functions with branch points ⋮ Supercritical regime for the kissing polynomials ⋮ Padé approximants to certain elliptic-type functions ⋮ Symmetric contours and convergent interpolation ⋮ The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions ⋮ Placement of cuts in Padé-like approximation ⋮ Direct and inverse computation of Jacobi matrices of infinite iterated function systems ⋮ Hermite-Padé approximants to functions meromorphic on a Riemann surface ⋮ The Pólya-Chebotarev problem and inverse polynomial images ⋮ Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets ⋮ Do orthogonal polynomials dream of symmetric curves? ⋮ CMV matrices, a matrix version of Baxter's theorem, scattering and de Branges spaces ⋮ Nuttall's theorem with analytic weights on algebraic S-contours ⋮ Phase transitions and equilibrium measures in random matrix models ⋮ Multipoint Padé approximants to complex Cauchy transforms with polar singularities ⋮ On multipoint Padé approximants whose poles accumulate on contours that separate the plane ⋮ Padé polynomial asymptotics from a singular integral equation ⋮ An asymptotic formula for polynomials orthonormal with respect to a varying weight ⋮ Zolotarev's conformal mapping and Chebotarev's problem ⋮ The asymptotic behavior of Hermite-Padé polynomials ⋮ Asymptotics of diagonal Hermite-Padé polynomials ⋮ Orthogonal- and Chebyshev polynomials on two intervals ⋮ Orthogonal and extremal polynomials on several intervals ⋮ Asymptotics of generalized Jacobi polynomials ⋮ Orthogonal polynomials with complex-valued weight function. I

Cites Work

• A norm inequality for a 'finite-section' Wiener-Hopf equation
• Extremal polynomials associated with a system of curves in the complex plane
• On Interpolation by Functions Analytic and Bounded in a Given Region
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item