Relation between polynomials orthogonal on the unit circle with respect to different weights

DOI10.1016/0021-9045(92)90130-GzbMath0752.33004MaRDI QIDQ1198944

Richard W. Ruedemann, Mourad E. H. Ismail

Publication date: 16 January 1993

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

zbMATH Keywords

determinant representationweightHahn polynomialstrigonometric polynomialChristoffel formulaAskey polynomialsreal orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Fredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their λ Generalization ⋮ On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle ⋮ Meromorphic Szegő functions and asymptotic series for Verblunsky coefficients ⋮ Christoffel formula for kernel polynomials on the unit circle ⋮ Asymptotics for orthogonal polynomials beyond the analytic boundary ⋮ Geronimus spectral transforms and measures on the complex plane ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective ⋮ Direct and inverse polynomial perturbations of Hermitian linear functionals ⋮ Christoffel transformation for a matrix of bi-variate measures ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Orthogonality properties of linear combinations of orthogonal polynomials ⋮ Linear spectral transformation and Laurent polynomials ⋮ Orthogonal polynomials and measures on the unit circle. The geronimus transformations ⋮ Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems. II

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