On a class of biorthogonal polynomials on the unit circle

DOI10.1016/j.jmaa.2016.02.012zbMath1342.33017arXiv1407.2103OpenAlexW2261438173MaRDI QIDQ5962958

Fernando Rodrigo Rafaeli, J. Borrego-Morell

Publication date: 25 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2103

zbMATH Keywords

orthogonal polynomialsasymptotic expansionselectrostatic interpretation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic representations in the complex plane (30E15)

Related Items (3)

An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle ⋮ An algebraic treatment of the Askey biorthogonal polynomials on the unit circle ⋮ An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle

Cites Work

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• Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle
• Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
• The special functions and their approximations. Vol. I, II
• An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle
• Szegő polynomials from hypergeometric functions
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Asymptotic Formulas for Toeplitz Determinants
• Numerical Optimization
• More on Electrostatic Models for Zeros of Orthagonal Polynomials

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