Companion orthogonal polynomials: some applications

DOI10.1016/S0168-9274(01)00046-0zbMath1003.42014MaRDI QIDQ5953939

Andrea C. Berti, A. Sri Ranga

Publication date: 14 January 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

measuresorthogonal polynomialsSobolev orthogonal polynomialsthree-term recurrence relation

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)

Related Items (12)

Szegö polynomials: Some relations to \(L\)-orthogonal and orthogonal polynomials ⋮ Unnamed Item ⋮ Real orthogonal polynomials in frequency analysis ⋮ Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights ⋮ CMV matrices and little and big \(-1\) Jacobi polynomials ⋮ Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications ⋮ On Sobolev orthogonal polynomials ⋮ On an extension of symmetric coherent pairs of orthogonal polynomials ⋮ Smallest zeros of some types of orthogonal polynomials: asymptotics ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs ⋮ Chain sequences and symmetric generalized orthogonal polynomials

Cites Work

• On orthogonal polynomials with perturbed recurrence relations
• On polynomials orthogonal with respect to certain Sobolev inner products
• Asymptotic properties of orthogonal polynomials from their recurrence formula. I
• Determination of all coherent pairs
• Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support
• Rational spectral transformations and orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type
• Orthogonal polynomials and coherent pairs: The classical case
• Companion orthogonal polynomials
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