Second order difference equations for certain families of `discrete' polynomials

DOI10.1016/S0377-0427(98)00143-5zbMath0933.42014MaRDI QIDQ1298544

Renato Álvarez-Nodarse

Publication date: 5 October 1999

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

zbMATH Keywords

Meixner polynomialsdiscrete orthogonal polynomialsKrall-type polynomialssecond order difference equations

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)

Related Items (3)

On the Krall-type discrete polynomials ⋮ The \(q\)-Racah-Krall-type polynomials ⋮ On the Krall-type polynomials on \(q\)-quadratic lattices

Uses Software

• Mathematica

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• Quasi-orthogonality and differential equations
• Difference equations for generalized Meixner polynomials
• Limit relations between generalized orthogonal polynomials
• On a difference equation for generalizations of Charlier polynomials
• Difference equation for modifications of Meixner polynomials
• On the properties for modifications of classical orthogonal polynomials of discrete variables
• A class of orthogonal polynomials
• Discrete semi-classical orthogonal polynominals
• The modification of classical hahn polynomials of a discrete variable
• Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation
• On Mechanical Quadratures, In Particular, with Positive Coefficients

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