On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials

DOI10.7153/jca-2021-19-08zbMath1499.26051OpenAlexW4293127316MaRDI QIDQ5078352

Mijael Hancco Suni, Vanessa Botta

Publication date: 23 May 2022

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-2021-19-08

zbMATH Keywords

Chebyshev polynomialszerosunit circleself-reciprocal polynomialsquasi-orthogonal polynomialssymmetric orthogonal polynomials

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10)

Related Items (3)

Location of zeros of Lacunary-type polynomials in annular regions ⋮ Location of zeros of lacunary-type polynomials ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zeros of quasi-orthogonal Jacobi polynomials
• Zeros of quasi-orthogonal ultraspherical polynomials
• Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
• Orthogonal polynomials on the unit circle and chain sequences
• Zeros of the exceptional Laguerre and Jacobi polynomials
• Some properties of classes of real self-reciprocal polynomials
• Selected unsolved problems in coding theory.
• When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
• On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval
• Quadrature formula and zeros of para-orthogonal polynomials on the unit circle
• Para-orthogonal polynomials in frequency analysis
• Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
• Chain sequences and symmetric generalized orthogonal polynomials
• Special linear combinations of orthogonal polynomials
• A contribution to quasi-orthogonal polynomials and associated polynomials
• Mechanische Quadraturen mit positiven Cotesschen Zahlen
• Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials
• Biorthogonal rational functions and the generalized eigenvalue problem
• Orthogonal polynomials and Möbius transformations
• On the zeros of certain self-reciprocal polynomials
• A characterization of the four Chebyshev orthogonal families
• The zeros of linear combinations of orthogonal polynomials
• The arithmetic and geometry of Salem numbers
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• A Characterization of Positive Quadrature Formulae
• Real orthogonal polynomials in frequency analysis
• Orthogonality of quasi-orthogonal polynomials
• Zeros of Some Self-Reciprocal Polynomials
• On reciprocal polynomials with zeros of modulus one
• On Mechanical Quadratures, In Particular, with Positive Coefficients
• On quasi-orthogonal polynomials

This page was built for publication: On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials