Self-adjoint differential equations for classical orthogonal polynomials

DOI10.1016/j.cam.2004.10.004zbMath1069.34126OpenAlexW2078531955MaRDI QIDQ1779421

Dumitru I. Caruntu

Publication date: 1 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.10.004

zbMATH Keywords

Orthogonal polynomialsSelfadjoint differential equationsSingular eigenvalue problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (4)

New results on the Bochner condition about classical orthogonal polynomials ⋮ Dynamic modal characteristics of transverse vibrations of cantilevers of parabolic thickness ⋮ Factorization of self-adjoint ordinary differential equations ⋮ Frequency response reduced order model of primary resonance of electrostatically actuated MEMS circular plate resonators

Uses Software

• SLEUTH

Cites Work

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• A characterization of Hermite polynomials
• Computing eigenvalues of singular Sturm-Liouville problems
• Eigenvalues of fourth order Sturm-Liouville problems using Fliess series
• Jacobi polynomial expansions
• Symmetrizability of differential equations having orthogonal polynomial solutions
• Numerical methods for higher order Sturm-Liouville problems
• Certain differential equations for Tchebycheff polynomials
• Algorithm 775
• Eigenvalue and eigenfunction computations for Sturm-Liouville problems
• Differential equations for generalized Jacobi polynomials
• Orthogonal polynomial solutions of linear ordinary differential equations

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