On sieved orthogonal polynomials. IX: Orthogonality on the unit circle

DOI10.2140/pjm.1992.153.289zbMath0771.33007OpenAlexW1978419358MaRDI QIDQ1207873

Mourad E. H. Ismail, Xin Li

Publication date: 16 May 1993

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.153.289

zbMATH Keywords

orthogonal polynomials on the unit circlesieved 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 (17)

Sieved para-orthogonal polynomials on the unit circle ⋮ Darboux transformations for CMV matrices ⋮ On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle ⋮ Characterization of orthogonal polynomials with respect to a functional ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients ⋮ Expansions and characterizations of sieved random walk polynomials ⋮ On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation ⋮ A class of nonsymmetric orthogonal polynomials on the unit circle ⋮ Orthogonal polynomials on the unit circle via a polynomial mapping on the real line ⋮ Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix ⋮ Spectral transformations of measures supported on the unit circle and the Szegő transformation ⋮ Para-orthogonal polynomials on the unit circle generated by Kronecker polynomials ⋮ On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures ⋮ Applications of a new formula for OPUC with periodic Verblunsky coefficients ⋮ Ramanujan's trigonometric sums and orthogonal polynomials on the unit circle

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