Orthogonal polynomial solutions of spectral type differential equations: Magnus' conjecture
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Publication:5959030
DOI10.1006/jath.2001.3586zbMath0994.33003OpenAlexW2015628309WikidataQ122973048 ScholiaQ122973048MaRDI QIDQ5959030
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Publication date: 27 September 2002
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.2001.3586
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)
Related Items (12)
The higher-order differential operator for the generalized Jacobi polynomials -- new representation and symmetry ⋮ The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions ⋮ Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions ⋮ An elementary representation of the higher-order Jacobi-type differential equation ⋮ Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order difference or differential equations ⋮ Orthogonal polynomials in two variables as solutions of higher order partial differential equations ⋮ Orthogonal polynomials satisfying higher-order difference equations ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ A method to study the Krall and \(q\)-Krall polynomials ⋮ Higher order self-adjoint operators with polynomial coefficients
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