Zeros of quadratic quasi-orthogonal order 2 polynomials

DOI10.1016/j.apnum.2018.08.012OpenAlexW2888786595MaRDI QIDQ1615849

Michela Redivo-Zaglia, Claude Brezinski, Kathy A. Driver

Publication date: 31 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.08.012

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsGegenbauer polynomialsquasi-orthogonal polynomials

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 (4)

Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials ⋮ Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials ⋮ Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials ⋮ Zeros of quasi-orthogonal \(q\)-Laguerre polynomials

Cites Work

• Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
• Mechanische Quadraturen mit positiven Cotesschen Zahlen
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On Mechanical Quadratures, In Particular, with Positive Coefficients
• On quasi-orthogonal polynomials
• On quasi-orthogonal polynomials
• Zeros of ultraspherical polynomials and the Hilbert-Klein formulas
• Unnamed Item

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