Differential operators having Sobolev type Laguerre polynomials as eigenfunctions

DOI10.1090/S0002-9939-97-04091-4zbMath0881.33009OpenAlexW1564510217MaRDI QIDQ4372410

H. Bavinck

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04091-4

zbMATH Keywords

differential operatorsSobolev type Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Ordinary differential equations of infinite order (34A35)

Related Items (9)

Differential operators having Sobolev-type Jacobi polynomials as eigenfunctions. ⋮ On the sum of the coefficients of certain linear differential operators ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials ⋮ Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives ⋮ Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions ⋮ Higher order self-adjoint operators with polynomial coefficients ⋮ Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions

Cites Work

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• AN APPLICATION OF A NEW THEOREM ON ORTHOGONAL POLYNOMIALS AND DIFFERENTIAL EQUATIONS
• Orthogonal polynomials satisfying fourth order differential equations
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• On differential equations for Sobolev-type Laguerre polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)

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