On the differential equation for the Laguerre-Sobolev polynomials

DOI10.1016/j.jat.2019.07.007zbMath1429.33019arXiv1810.06488OpenAlexW2965962176WikidataQ115350219 ScholiaQ115350219MaRDI QIDQ2326381

Clemens Markett

Publication date: 7 October 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06488

zbMATH Keywords

Sobolev orthogonal polynomialshigher-order differential equationssymmetric differential operatorLaguerre equationLaguerre-Sobolev differential operatorLaguerre-Sobolev polynomials

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Other special orthogonal polynomials and functions (33C47)

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The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions ⋮ Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations ⋮ Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials

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