Relative asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients

DOI10.1080/10652460600936104zbMath1116.33013OpenAlexW2110088694MaRDI QIDQ3434525

Hossain O. Yakhlef

Publication date: 2 May 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460600936104

zbMATH Keywords

Asymptotic behaviorOrthogonal matrix polynomialsPerturbation of varying matrix of measures

Mathematics Subject Classification ID

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) Other special orthogonal polynomials and functions (33C47)

Related Items (1)

Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case

Cites Work

• Asymptotic properties of orthogonal polynomials from their recurrence formula. I
• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• Ratio asymptotics for orthogonal matrix polynomials
• Polynomial interpolation and Gaussian quadrature for matrix-valued functions
• Asymptotics for orthogonal polynomials
• Scattering theory and matrix orthogonal polynomials on the real line
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• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Markov's Theorem for Orthogonal Matrix Polynomials
• THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR
• Orthogonal polynomials
• 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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