On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator

DOI10.1006/jath.1999.3333zbMath0931.30002OpenAlexW2069040142MaRDI QIDQ1305505

Bernhard Beckermann

Publication date: 21 February 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3333

zbMATH Keywords

orthogonal polynomialsPadé approximationrates of convergenceJacobi matrix

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70)

Related Items (6)

The symmetrization problem for multiple orthogonal polynomials ⋮ Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials ⋮ Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. ⋮ Complex Jacobi matrices ⋮ The linear pencil approach to rational interpolation ⋮ Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence

Cites Work

• Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
• On the asymptotic distribution of eigenvalues of banded matrices
• Continued fractions with applications
• On the convergence of generalized Padé approximants
• On the domain of convergence and poles of complex \(J\)-fractions
• Conjectures around the Baker-Gammel-Wills conjecture
• The diagonal of the Padé table and the approximation of the Weyl function of second-order difference operators
• On exceptional sets of asymptotic relations for general orthogonal polynomials
• Normal families
• Decay Rates for Inverses of Band Matrices
• Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
• Polynomials generated by a three-term recurrence relation with asymptotically periodic complex coefficients
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