Jacobi–Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case

DOI10.1080/10652469.2012.668678zbMath1264.42005OpenAlexW2035747917MaRDI QIDQ4915302

Luis E. Garza, Herbert Dueñas

Publication date: 10 April 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.668678

zbMATH Keywords

orthogonal polynomialsJacobi polynomialslogarithmic potentialSobolev-type inner productsholonomic equation

Mathematics Subject Classification ID

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

Related Items (2)

Sobolev orthogonal polynomials on the unit ball via outward normal derivatives ⋮ Sobolev orthogonal polynomials of several variables on product domains

Cites Work

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• Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case
• The Laguerre-Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Generalizations of Laguerre polynomials
• Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros
• Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Sobolev-type orthogonal polynomials: The nondiagonal case
• The Laguerre-Sobolev-type orthogonal polynomials
• Electrostatic models for zeros of polynomials: old, new, and some open problems
• The holonomic equation of the Laguerre–Sobolev-type orthogonal polynomials: a non-diagonal case
• Estimates for jacobi—sobolev type orthogonal polynomials
• More on Electrostatic Models for Zeros of Orthagonal Polynomials
• A Generalization of Laguerre Polynomials

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