Some results on co-recursive associated Meixner and Charlier polynomials

DOI10.1016/S0377-0427(98)00269-6zbMath0941.33004MaRDI QIDQ1301824

Jean Letessier

Publication date: 3 August 2000

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

zbMATH Keywords

Meixner polynomialsdifference equationCharlier polynomialsMaple applicationsStieltjes transform of orthogonality measure

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. ⋮ On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials

Uses Software

• Maple

Cites Work

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• Denumerable Markov processes and the associated contraction semigroups on l
• Linear birth and death models and associated Laguerre and Meixner polynomials
• Co-recursive orthogonal polynomials and fourth-order differential equation
• A diffusion process with killing: The time to formation of recurrent deleterious mutant genes
• Birth and death processes with absorption
• Fourth-order difference equation for the associated Meixner and Charlier polynomials
• On Co-Recursive Orthogonal Polynomials
• Linear birth and death processes with killing
• Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials