Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions

DOI10.1216/rmjm/1020171672zbMath1016.33009OpenAlexW2037343264MaRDI QIDQ1596556

R. Smith

Publication date: 22 May 2002

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-3/CONT31-3/CONT31-3.html

zbMATH Keywords

Hilbert-Sobolev spaces

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (2)

Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Orthogonal polynomial solutions of spectral type differential equations: Magnus' conjecture

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• Differential Equations for Symmetric Generalized Ultraspherical Polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Differential equations for generalized Jacobi polynomials

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