The holonomic equation of the Laguerre–Sobolev-type orthogonal polynomials: a non-diagonal case

DOI10.1080/10236190903456063zbMath1219.42012OpenAlexW2040407090MaRDI QIDQ3016334

Francisco Marcellán, Herbert Dueñas

Publication date: 15 July 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903456063

zbMATH Keywords

Laguerre polynomialsquasi-orthogonal polynomialsraising and lowering operatorsholonomic equationsSobolev-type orthogonality

Mathematics Subject Classification ID

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

Related Items (3)

Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ Jacobi–Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case

Cites Work

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• Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case
• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Generalizations of Laguerre polynomials
• Classical orthogonal polynomials: A functional approach
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• Sobolev-type orthogonal polynomials: The nondiagonal case
• Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
• Asymptotics for a generalization of Hermite polynomials
• A Generalization of Laguerre Polynomials

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