Fourth-order difference equation for the associated Meixner and Charlier polynomials

DOI10.1016/0377-0427(96)87163-9zbMath0856.33008OpenAlexW1983828214MaRDI QIDQ1919960

Jean Letessier, Galliano Valent, André Ronveaux

Publication date: 18 September 1996

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(96)87163-9

zbMATH Keywords

difference equationassociated orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions coming from differential, difference and integral equations (33E30)

Related Items (10)

On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ On the fourth-order difference equation for the associated Meixner polynomials ⋮ Certain results on generating functions related to the associated Meixner-Pollaczek polynomials ⋮ Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials ⋮ Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class ⋮ Fourth-order difference equation for co-recursive associated Meixner and Charlier polynomials ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Fourth-order difference equation for the associated classical discrete orthogonal polynomials ⋮ Some results on co-recursive associated Meixner and Charlier polynomials

Uses Software

• Maple

Cites Work

• Linear birth and death models and associated Laguerre and Meixner polynomials
• Difference equation for associated polynomials on a linear lattice
• Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials
• Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials
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