Systems of orthogonal polynomials explicitly represented by Jacobi polynomials

DOI10.1007/BF01137428zbMath0714.42014MaRDI QIDQ750799

V. M. Badkov

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsrepresentationJacobi polynomialsJacobi weight function

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 (10)

On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle ⋮ Asymptotic behaviour of Verblunsky coefficients ⋮ Characterization of orthogonal polynomials with respect to a functional ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ CMV matrices and little and big \(-1\) Jacobi polynomials ⋮ Approximating the weight function for orthogonal polynomials on several intervals ⋮ On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation ⋮ Orthogonal polynomials on the unit circle via a polynomial mapping on the real line ⋮ 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

Cites Work

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