Properties of the operator domains of the fourth-order Legendre-type differential expressions

zbMath0803.34014MaRDI QIDQ1328928

S. M. Loveland, W. Norrie Everitt, Lance L. Littlejohn

Publication date: 3 January 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionsGram-Schmidt processLegendre-type polynomialsformally symmetric spectral differential equationfourth order differential expressions

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Approximation by polynomials (41A10) Appell, Horn and Lauricella functions (33C65)

Related Items (4)

On properties of the Legendre differential expression ⋮ A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation ⋮ Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions ⋮ Orthogonal polynomials and approximation in Sobolev spaces

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