Sobolev Orthogonal Polynomials and Spectral Differential Equations

DOI10.2307/2155030zbMath0846.33008OpenAlexW4247854019MaRDI QIDQ4875800

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Publication date: 16 September 1996

Full work available at URL: https://doi.org/10.2307/2155030

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions defined by series and integrals (33E20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (7)

Differential equations and Sobolev orthogonality ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Computation of the eigenvalues of Fredholm–Stieltjes integral equations ⋮ On the differential equation for the Laguerre-Sobolev polynomials ⋮ Differential equations for discrete Laguerre-Sobolev orthogonal polynomials ⋮ An interpolation by successive derivatives at a finite set

Cites Work

• Unnamed Item
• The search for differential equations for certain sets of orthogonal polynomials
• Differential equations of infinite order for orthogonal polynomials
• Certain differential equations for Tchebycheff polynomials
• Symmetric and Symmetrisable Differential Expressions
• The Stieltjes Moments Problem for Rapidly Decreasing Functions
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• Characterizations of Orthogonal Polynomials Satisfying Differential Equations
• A Generalization of Laguerre Polynomials

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