Matrix Uvarov transformation on the unit circle: asymptotic properties
DOI10.1007/s40840-020-00947-2zbMath1470.33008OpenAlexW3033839946MaRDI QIDQ2227951
E. Fuentes, Herbert Dueñas, Luis E. Garza
Publication date: 16 February 2021
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-020-00947-2
zerosrelative asymptoticsmatrix orthogonal polynomials on the unit circleUvarov matrix transformation
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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
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Cites Work
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- Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case
- Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems
- A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle
- Relative asymptotics for orthogonal matrix polynomials
- Szegő's theorem for matrix orthogonal polynomials
- Zeros of Sobolev orthogonal polynomials on the unit circle
- Prediction theory and Fourier series in several variables
- Prediction theory and Fourier series in several variables. II
- Ratio asymptotics for orthogonal matrix polynomials
- Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
- Weighted approximation with varying weight
- Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc
- Zero asymptotic behaviour for orthogonal matrix polynomials
- A class of matrix orthogonal polynomials on the unit circle
- Sobolev-type orthogonal polynomials on the unit circle.
- Weak convergence for orthogonal matrix polynomials
- Orthogonal matrix polynomials and applications
- Gaussian quadrature for matrix valued functions on the unit circle
- Matrix methods for quadrature formulas on the unit circle. A survey
- Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle
- Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle
- The Analytic Theory of Matrix Orthogonal Polynomials
- Matrix Valued Orthogonal Polynomials on the Unit Circle: Some Extensions of the Classical Theory
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
- CONVERGENCE OF PADÉ APPROXIMANTS OF STIELTJES TYPE MEROMORPHIC FUNCTIONS AND COMPARATIVE ASYMPTOTICS FOR ORTHOGONAL POLYNOMIALS
- Orthogonal polynomial matrices on the unit circle
- On zeros of regular orthogonal polynomials on the unit circle
- HERMITE-PADÉ APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC FUNCTIONS
- RELATIVE ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL ON THE REAL AXIS
- Matrix orthogonal polynomials on the unit circle
- Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle
- Matrix-valued SzegoÌ polynomials and quantum random walks
- Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients
- Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients
- Perturbations in the Nevai matrix class of orthogonal matrix polynomials
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