Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients
DOI10.2298/AADM190225051BzbMath1474.33044arXiv1708.01638OpenAlexW3112568358MaRDI QIDQ4989007
Juan Carlos García-Ardila, Amílcar Branquinho, Francisco Marcellán
Publication date: 20 May 2021
Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.01638
Markov functionsquadrature formulaegeneralized Chebyshev polynomialsratio asymptoticmatrix biorthogonal polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32) Other special orthogonal polynomials and functions (33C47)
Cites Work
- Unnamed Item
- Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case
- Relative asymptotics for orthogonal matrix polynomials
- Vector interpretation of the matrix orthogonality on the real line
- Asymptotic properties of orthogonal polynomials from their recurrence formula. I
- Orthogonal polynomials with asymptotically periodic recurrent coefficients
- Ratio asymptotics for orthogonal matrix polynomials
- Asymptotics for orthogonal polynomials
- Orthogonal matrix polynomials and higher-order recurrence relations
- 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
- The Analytic Theory of Matrix Orthogonal Polynomials
- Orthogonal polynomials
- Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations
- Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy
- A canonical Geronimus transformation for matrix orthogonal polynomials
- Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients
- Matrix interpretation of multiple orthogonality
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