Electrostatic models for zeros of Laguerre-Sobolev polynomials

DOI10.1007/s00009-024-02743-9MaRDI QIDQ6649182

Héctor Pijeira Cabrera, Abel Díaz-González, Javier Quintero-Roba

Publication date: 5 December 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laguerre polynomialssecond-order differential equationSobolev orthogonalityelectrostatic model

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

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• On a class of equilibrium problems in the real axis
• The Laguerre-Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation
• Sur quelques théorèmes d'Algèbre.
• Sur les polynômes de Jacobi.
• An electrostatics model for zeros of general orthogonal polynomials
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material
• Polynomials of least deviation from zero in Sobolev \(p\)-norm
• Electrostatic problems with a rational constraint and degenerate Lamé equations
• Rational approximation and Sobolev-type orthogonality
• Electrostatic models for zeros of polynomials: old, new, and some open problems
• ON LAGUERRE–SOBOLEV TYPE ORTHOGONAL POLYNOMIALS: ZEROS AND ELECTROSTATIC INTERPRETATION
• The holonomic equation of the Laguerre–Sobolev-type orthogonal polynomials: a non-diagonal case
• More on Electrostatic Models for Zeros of Orthagonal Polynomials
• Numerical Engineering Optimization
• An electrostatic model for zeros of perturbed Laguerre polynomials

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