On the properties for modifications of classical orthogonal polynomials of discrete variables

DOI10.1016/0377-0427(95)00097-6zbMath0865.42023OpenAlexW2149296681MaRDI QIDQ1917926

Renato Álvarez-Nodarse, Francisco Marcellán, Antonio G. García

Publication date: 3 July 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00097-6

zbMATH Keywords

orthogonal polynomialsMeixner polynomialsKrawtchouk polynomialsmoment functionalthree-term recurrence relationsCharlier polynomialsdiscrete measurestridiagonal Jacobi matrices

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spherical harmonics (33C55)

Related Items (10)

On the Krall-type discrete polynomials ⋮ Discrete semiclassical orthogonal polynomials of class 2 ⋮ Limit relations between generalized orthogonal polynomials ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ Perturbations of discrete semiclassical functionals by dirac masses ⋮ Discrete orthogonal polynomials – polynomial modification of a classical functional ⋮ \Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable ⋮ Limit relations between \(q\)-Krall type orthogonal polynomials ⋮ New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials ⋮ Second order difference equations for certain families of `discrete' polynomials

Cites Work

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• Orthogonal polynomials and measures with end point masses
• On the assignment of a Dirac-mass for a regular and semi-classical form
• Difference equations for generalized Meixner polynomials
• On a difference equation for generalizations of Charlier polynomials
• Difference equation for modifications of Meixner polynomials
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)

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