Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure

DOI10.1016/j.amc.2015.09.067zbMath1410.42024OpenAlexW2173931597MaRDI QIDQ1732247

A. Sri Ranga, Cleonice F. Bracciali, Jairo S. Silva

Publication date: 22 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/172131

zbMATH Keywords

para-orthogonal polynomialsorthogonal polynomials on the unit circlechain sequences

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

\(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle ⋮ Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle ⋮ Quasi-analytical root-finding for non-polynomial functions ⋮ Quadrature rules from a \(R_{II}\) type recurrence relation and associated quadrature rules on the unit circle

Cites Work

• Orthogonal polynomials on the unit circle and chain sequences
• Quadrature formula and zeros of para-orthogonal polynomials on the unit circle
• A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula
• First and second kind paraorthogonal polynomials and their zeros
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