SzegÖ polynomials on the real axis

DOI10.1080/10652469908819223zbMath0939.33010OpenAlexW1993187640MaRDI QIDQ4935281

Alexei Zhedanov, Luc Vinet

Publication date: 31 January 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469908819223

zbMATH Keywords

Askey-Wilson polynomialsindeterminate moment problem\(q^{-1}\)-Hermite polynomialsSzegő polynomials on real axisSzegő polynomials on unit circle

Mathematics Subject Classification ID

Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (8)

Szegö polynomials: Some relations to \(L\)-orthogonal and orthogonal polynomials ⋮ Bannai-Ito polynomials and dressing chains ⋮ Another connection between orthogonal polynomials and L-orthogonal polynomials ⋮ A characterization of L-orthogonal polynomials from three term recurrence relations ⋮ On Szegő's theorem for a nonclassical case ⋮ Szegő type polynomials and para-orthogonal polynomials ⋮ Szegő and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations ⋮ On the polynomials orthogonal on regular polygons

Cites Work

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• Orthogonal Laurent polynomials and the strong Hamburger moment problem
• Orthogonal polynomials and some q-beta integrals of Ramanujan
• On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval
• Some consequences of a symmetry in strong distributions
• The symmetric strong moment problem
• Tridiagonal Approach to the Algebraic Environment of Toeplitz Matrices, Part I: Basic Results
• Convolutions of Orthonormal Polynomials

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