On some problems connected with polynomials orthogonal on the complex unit circle

DOI10.1007/BF01903395zbMath0418.42010MaRDI QIDQ3209170

József Szabados

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulaecluster-points of the roots of the polynomialsorthonormal polynomials with respect to the weight-function

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Real polynomials: location of zeros (26C10)

Related Items (11)

On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle ⋮ Asymptotics for polynomials orthogonal over the unit disk with respect to a positive polynomial weight ⋮ Solution of a problem of P. Turán on zeros of orthogonal polynomials on the unit circle ⋮ Szegö polynomials associated with Wiener-Levinson filters ⋮ On the distribution of zeros of polynomials orthogonal on the unit circle ⋮ Meromorphic Szegő functions and asymptotic series for Verblunsky coefficients ⋮ On the zeros of orthogonal polynomials on the unit circle ⋮ Orthogonal polynomials on the unit circle: distribution of zeros ⋮ Critical points of orthogonal polynomials ⋮ An expansion for polynomials orthogonal over an analytic Jordan curve ⋮ On the asymptotic behavior of Faber polynomials for domains with piecewise analytic boundary

Cites Work

• On the distribution of roots of polynomials
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