A Property of the Legendre Differential Equation and Its Discretization

DOI10.1137/0607040zbMath0622.65067OpenAlexW1977013114MaRDI QIDQ3759844

F. Alberto Gruenbaum

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607040

zbMATH Keywords

eigenvalue problemJacobi operatorHahn polynomialsLegendre equation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Cites Work

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• Orthogonale Polynomsysteme als Lösungen Sturm-Liouvillescher Differenzengleichungen
• Some properties of polynomials orthogonal over the set \(\langle1,2,\rangle\)
• Chopped Orthogonal Polynomial Expansions—Some Discrete Cases
• On the Hahn Polynomials

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