Inner products involving differences: the meixner—sobolev polynomials

DOI10.1080/10236190008808211zbMath0948.33004OpenAlexW2131955205MaRDI QIDQ4485203

Francisco Marcellán, Eduardo Paciência Godoy, IvÁn Area

Publication date: 5 June 2000

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190008808211

zbMATH Keywords

Sobolev orthogonal polynomialsdifference operatorsMeixner polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Additive difference equations (39A10) Difference operators (39A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (10)

Orthogonal Polynomials Associated with a Δ-Sobolev Inner Product ⋮ UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE MEIXNER–SOBOLEV POLYNOMIALS ⋮ Some remarks on a paper by L. Carlitz ⋮ Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials ⋮ A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case ⋮ \(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation ⋮ Sobolev-orthogonal systems of functions and some of their applications ⋮ Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials ⋮ New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials ⋮ \(\varDelta\)-Meixner-Sobolev orthogonal polynomials: Mehler-Heine type formula and zeros

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