A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions

DOI10.1016/0019-3577(96)83721-9zbMath0865.33007OpenAlexW1963505927MaRDI QIDQ2365497

H. Bavinck

Publication date: 8 July 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)83721-9

zbMATH Keywords

difference operatorCharlier polynomialsSobolev orthogonality

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10)

Related Items (6)

Some new results for Charlier and Meixner polynomials ⋮ Difference operators with Sobolev type Meixner polynomials as eigenfunctions ⋮ Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials ⋮ Linear perturbations of differential or difference operators with polynomials as eigenfunctions ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials

Cites Work

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• A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
• On a difference equation for generalizations of Charlier polynomials
• On polynomials orthogonal with respect to an inner product involving differences
• 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)
• On polynomials orthogonal with respect to an inner product involving differences (the general case)
• A Generalization of Laguerre Polynomials

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