More on Electrostatic Models for Zeros of Orthagonal Polynomials

DOI10.1080/01630560008816948zbMath0981.42015OpenAlexW2019071695MaRDI QIDQ4484805

Mourad E. H. Ismail

Publication date: 25 February 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816948

zbMATH Keywords

orthogonal polynomialszerosdiscriminantsinteracting particles

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (20)

Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions. ⋮ Electrostatic models for zeros of polynomials: old, new, and some open problems ⋮ On a Direct Uvarov-Chihara Problem and Some Extensions ⋮ Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ The Laguerre-Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation ⋮ Zeros of orthogonal polynomials generated by canonical perturbations of measures ⋮ Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications ⋮ Minimal Energy Point Systems on the Unit Circle and the Real Line ⋮ An electrostatic model for zeros of perturbed Laguerre polynomials ⋮ Jacobi–Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective ⋮ Combinatorial and hypergeometric identities via the Legendre polynomials -- a computational approach ⋮ Discriminants and functional equations for polynomials orthogonal on the unit circle ⋮ Electrostatic interpretation of zeros of orthogonal polynomials ⋮ On a class of biorthogonal polynomials on the unit circle ⋮ Analytic properties of Laguerre-type orthogonal polynomials ⋮ An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle ⋮ Menke points on the real line and their connection to classical orthogonal polynomials ⋮ ON LAGUERRE–SOBOLEV TYPE ORTHOGONAL POLYNOMIALS: ZEROS AND ELECTROSTATIC INTERPRETATION

Cites Work

• Unnamed Item
• Estimates of the Hermite and the Freud polynomials
• Estimates of asymmetric Freud polynomials on the real line
• Orthogonal polynomials and measures with end point masses
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Discriminants and functions of the second kind of orthogonal polynomials
• Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
• AN APPLICATION OF A NEW THEOREM ON ORTHOGONAL POLYNOMIALS AND DIFFERENTIAL EQUATIONS
• Electrostatics and the Zeros of the Classical Polynomials

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