On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval

DOI10.1006/jath.1998.3179zbMath0921.42017OpenAlexW1975520015MaRDI QIDQ1270287

Alexei Zhedanov

Publication date: 21 September 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3179

zbMATH Keywords

orthogonal polynomialsAskey-Wilson polynomialssieved polynomialsDelsarte-Genin mapping

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Continued fractions; complex-analytic aspects (30B70) Polynomials and rational functions of one complex variable (30C10)

Related Items (27)

Szegö polynomials: Some relations to \(L\)-orthogonal and orthogonal polynomials ⋮ Algebraic Structures Related to Racah Doubles ⋮ A modified least squares method: approximations on the unit circle and on \((-1,1)\) ⋮ Freud equations for Legendre polynomials on a circular arc and solution of the Grünbaum-Delsarte-Janssen-Vries problem. ⋮ Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ Real orthogonal polynomials in frequency analysis ⋮ On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials ⋮ Bannai-Ito polynomials and dressing chains ⋮ Modified Chebyshev algorithm: some applications ⋮ Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Orthogonal polynomials on the unit circle and chain sequences ⋮ Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure ⋮ CMV matrices and little and big \(-1\) Jacobi polynomials ⋮ Szegö polynomials: Quadrature rules on the unit circle and on \([-1,1\)] ⋮ Singular measures on the unit circle and their reflection coefficients ⋮ Monotonicity of zeros for a class of polynomials including hypergeometric polynomials ⋮ Some properties of classes of real self-reciprocal polynomials ⋮ Cesàro asymptotics for orthogonal polynomials on the unit circle and classes of measures ⋮ Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials ⋮ SzegÖ polynomials on the real axis ⋮ Polynomials generated by a three term recurrence relation: bounds for complex zeros ⋮ Szegő type polynomials and para-orthogonal polynomials ⋮ A class of orthogonal functions given by a three term recurrence formula ⋮ Optimally Conditioned Vandermonde-Like Matrices ⋮ On the polynomials orthogonal on regular polygons ⋮ Elliptic polynomials orthogonal on the unit circle with a dense point spectrum ⋮ Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle

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