Classical Sobolev orthogonal polynomials: eigenvalue problem

DOI10.1007/s00025-019-1069-9zbMath1423.33016arXiv1907.13226OpenAlexW3103596421MaRDI QIDQ2323081

Juan F. Mañas-Mañas, Juan José Moreno Balcázar

Publication date: 30 August 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13226

zbMATH Keywords

asymptoticseigenvaluesSobolev orthogonal polynomialsdifferential operator

Mathematics Subject Classification ID

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

Cites Work

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• On Sobolev orthogonal polynomials
• Differential equations of infinite order for Sobolev-type orthogonal polynomials
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions
• Differential operators having symmetric orthogonal polynomials as eigenfunctions
• Connection formulas for general discrete Sobolev polynomials: Mehler-Heine asymptotics
• Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics
• Sobolev inequality of free boundary value problem for \((-1)^{M}(d/dx)^{2M}\)
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Orthogonal polynomials satisfying fourth order differential equations
• Diagonalized Chebyshev Rational Spectral Methods for Second-Order Elliptic Problems on Unbounded Domains

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