Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients

DOI10.1006/jath.2000.3544zbMath0988.42018OpenAlexW2049659481MaRDI QIDQ5937252

Antonio J. Duran, Enrique Daneri-Vias

Publication date: 23 June 2002

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3544

zbMATH Keywords

Chebyshev polynomialsmatrix polynomialsorthogonal matrix polynomialsquadrature formulaeratio asymptotics

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (14)

Differential coefficients of orthogonal matrix polynomials ⋮ Spectral properties of block Jacobi matrices ⋮ Orthogonal matrix polynomials and quadrature formulas ⋮ Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case ⋮ Riemann-Hilbert problem and matrix biorthogonal polynomials ⋮ Vector interpretation of the matrix orthogonality on the real line ⋮ Relative asymptotics for orthogonal matrix polynomials ⋮ Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ Random block matrices and matrix orthogonal polynomials ⋮ A survey on orthogonal matrix polynomials satisfying second order differential equations ⋮ Orthogonal confluent hypergeometric lattice polynomials ⋮ Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients ⋮ Relative asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients ⋮ Weak convergence for orthogonal matrix polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators
• Asymptotic properties of orthogonal polynomials from their recurrence formula. I
• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• The ratio of q-like orthogonal polynomials
• Ratio asymptotics for orthogonal matrix polynomials
• The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
• Laguerre matrix polynomials and systems of second-order differential equations
• Polynomial interpolation and Gaussian quadrature for matrix-valued functions
• Ratio asymptotics and quadrature formulas
• Matrix inner product having a matrix symmetric second-order differential operator
• Zero asymptotic behaviour for orthogonal matrix polynomials
• Asymptotics for orthogonal polynomials
• Orthogonal matrix polynomials and higher-order recurrence relations
• Weak convergence of orthogonal polynomials
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• Markov's Theorem for Orthogonal Matrix Polynomials
• Matrix Stieltjes Series and Network Models
• Spectral Theory of Jacobi Matrices in $l^2 (\mathbb{Z})$ and the $su(1,1)$ Lie Algebra
• Matrix Analysis
• Orthogonal polynomials
• Density Questions for the Truncated Matrix Moment Problem
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Bilateral Birth and Death Processes

This page was built for publication: Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients