scientific article; zbMATH DE number 1055000
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Publication:4350121
zbMath0885.34065MaRDI QIDQ4350121
Kil Hyun Kwon, Richard Wellman, Lance L. Littlejohn, W. Norrie Everitt
Publication date: 28 August 1997
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
eigenfunctionsselfadjoint differential operatorspectral representationsentire Laguerre sequenceLaguerre differential expressionLaguerre polynomial sequences
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
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A general left-definite theory for certain self-adjoint operators with applications to differential equations ⋮ The Sobolev orthogonality and spectral analysis of the Laguerre polynomials \(\{L_{n}^{-k}\}\) for positive integers \(k\) ⋮ On the spectra of left-definite operators ⋮ Sobolev orthogonal polynomials of several variables on product domains ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Left-definite theory with applications to orthogonal polynomials
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