Orthogonal polynomials with respect to the sum of an arbitrary measure and a Bernstein-Szegö measure

DOI10.1007/S10444-004-7644-XzbMath1109.33010OpenAlexW2119502558MaRDI QIDQ878089

N. E. Zubov

Publication date: 26 April 2007

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-7644-x

zbMATH Keywords

orthogonal polynomialsBernstein-Szegö measureLaguerre-Hahn affine functional

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 (3)

Basic hypergeometric functions and orthogonal Laurent polynomials ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective ⋮ Szegő polynomials from hypergeometric functions

Cites Work

• Jacobi matrices for sums of weight functions
• Lebesgue perturbation of a quasi-definite Hermitian functional. The positive definite case
• Gaussian quadrature formulae on the unit circle
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