Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation

DOI10.1080/10236198.2013.769531zbMath1278.42035OpenAlexW1966661228MaRDI QIDQ2855230

A. Mendes, Francisco Marcellán, Héctor Pijeira Cabrera

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/23265

zbMATH Keywords

orthogonal polynomialsdifference equationsrecurrence relation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Rational approximation and Sobolev-type orthogonality ⋮ Discrete-continuous Jacobi-Sobolev spaces and Fourier series

Cites Work

• Compact perturbations of orthogonal polynomials
• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Orthogonal polynomials, associated polynomials and functions of the second kind
• Global properties of zeros for Sobolev-type orthogonal polynomials
• Orthogonal matrix polynomials and higher-order recurrence relations
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• On Recurrence Relations for Sobolev Orthogonal Polynomials
• On the basic set of solutions of a high-order linear difference equation
• On the ``Favard theorem and its extensions

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