Zero distribution of composite polynomials and polynomials biorthogonal to exponentials

DOI10.1007/s00365-008-9014-2zbMath1181.42027OpenAlexW2052064708MaRDI QIDQ1039889

Doron S. Lubinsky, Avram Sidi

Publication date: 23 November 2009

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-008-9014-2

zbMATH Keywords

zero distributionbiorthogonal polynomialsLaguerre polynomials: composition of polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximations and expansions (41A99)

Related Items (5)

Some biorthogonal polynomials arising in numerical analysis and approximation theory ⋮ Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions ⋮ Positive interpolatory quadrature rules generated by some biorthogonal polynomials ⋮ Polynomials biorthogonal to dilations of measures, and their asymptotics ⋮ Asymptotic zero distribution of biorthogonal polynomials

Cites Work

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• Weights whose biorthogonal polynomials admit a Rodrigues formula
• Bi-orthogonality and zeros of transformed polynomials
• On transformations and zeros of polynomials
• On the Zeros of Some Polynomials that Arise in Numerical Quadrature and Convergence Acceleration
• Asymptotic Behaviour of the Coefficients of Some Sequences of Polynomials
• Numerical Quadrature and Nonlinear Sequence Transformations; Unified Rules for Efficient Computation of Integrals with Algebraic and Logarithmic Endpoint Singularities
• STRONG ASYMPTOTICS FOR POLYNOMIALS BIORTHOGONAL TO POWERS OF LOG X
• Practical Extrapolation Methods
• Zeros of expansions in orthogonal polynomials
• Numerical Quadrature Rules for Some Infinite Range Integrals

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